Reference

NATL INST. OF STAND & TECH

AlllOb 3MDDDD

/

,< °f

°o,

\

40

^fAU Of

NBS

Publications

NBS TECHNICAL NOTE 1147

U.S. DEPARTMENT OF COMMERCE/ National Bureau of Standards

-QC

100

.U5753

No. 1147"

1981

Test Problems and Results

for OMNITAB 80
NATIONAL BUREAU OF STANDARDS

The National Bureau of Standards' was established by an act of Congress on March 3, 1901. The Bureau's overall goal is to strengthen and advance the Nation's science and technology

and facilitate their effective application for public benefit. To this end, the Bureau conducts

research and provides: (1) a basis for the Nation's physical measurement system, (2) scientific and technological services for industry and government, (3) a technical basis for equity in trade, and (4) technical services to promote public safety. The Bureau's technical work is per- formed by the National Measurement Laboratory, the National Engineering Laboratory, and

the Institute for Computer Sciences and Technology.

THE NATIONAL MEASUREMENT LABORATORY provides the national system of

physical and chemical and materials measurement; coordinates the system with measurement

systems of other nations and furnishes essential services leading to accurate and uniform

physical and chemical measurement throughout the Nation's scientific community, industry,

and commerce; conducts materials research leading to improved methods of measurement,

standards, and data on the properties of materials needed by industry, commerce, educational

institutions, and Government; provides advisory and research services to other Government

agencies; develops, produces, and distributes Standard Reference Materials; and provides

calibration services. The Laboratory consists of the following centers:

Absolute Physical Quantities 2 — Radiation Research — Thermodynamics and

Molecular Science — Analytical Chemistry — Materials Science. THE NATIONAL ENGINEERING LABORATORY provides technology and technical ser- vices to the public and private sectors to address national needs and to solve national problems; conducts research in engineering and applied science in support of these efforts; builds and maintains competence in the necessary disciplines required to carry out this research and technical service; develops engineering data and measurement capabilities:

provides engineering measurement traceability services; develops test methods and proposes

engineering standards and code changes; develops and proposes new engineering practices;

and develops and improves mechanisms to transfer results of its research to the ultimate user. The Laboratory consists of the following centers:

Applied Mathematics — Electronics and Electrical Engineering2 — Mechanical

Engineering and Process Technology2 — Building Technology — Fire Research —

Consumer Product Technology — Field Methods.

THE INSTITUTE FOR COMPUTER SCIENCES AND TECHNOLOGY conducts

research and provides scientific and technical services to aid Federal agencies in the selection, acquisition, application, and use of computer technology to improve effectiveness and

economy in Government operations in accordance with Public Law 89-306 (40 U.S.C. 759), relevant Executive Orders, and other directives; carries out this mission by managing the Federal Information Processing Standards Program, developing Federal ADP standards

guidelines, and managing Federal participation in ADP voluntary standardization activities: provides scientific and technological advisory services and assistance to Federal agencies; and

provides the technical foundation for computer-related policies of the Federal Government.

The Institute consists of the following centers:

Programming Science and Technology — Computer Systems Engineering.

'Headquarters and Laboratories at Gaithersburg, MD, unless otherwise noted; mailing address Washington, DC 20234.

2 Some divisions within the center are located at Boulder. CO 80303.
ATIOJfAL BUREAU

Of 8TANDAKD3

LIBRARY DEC 1 1981

noir Cut -/

Q

for OMNITAB 80 *mi

Test Problems and Results

1191

Sally T. Peavy and Shirley G. Bremer

Center for Applied Mathematics

National Engineering Laboratory

National Bureau of Standards

Washington, DC 20234

/-« GA--*t-J <' .lc/€-.

U.S. DEPARTMENT OF COMMERCE, Malcolm Baldrige, Secretary

NATIONAL BUREAU OF STANDARDS, Ernest Ambler, Director

Issued November 1981
National Bureau of Standards Technical Note 1147

Nat. Bur. Stand. (U.S.), Tech. Note 1147, 316 pages (Nov. 1981) CODEN: NBTNAE

Supersedes Technical Note 552

U.S. GOVERNMENT PRINTING OFFICE WASHINGTON: 1981

For sale by the Superintendent of Documents, U.S. Government Printing Office, Washington, DC 20402

Price $8.50

(Add 25 percent for other than U.S. mailing)
Test Problems and Results for OMNITAB 80

Sally T. Peavy and Shirley G. Bremer

The lack of test problems and results for many computer software packages

is a great hindrance to both the systems programmer and the general user. In this publication a set of 69 test problems and results for the OMNITAB 80 system is provided to assist individuals in checking the installation of the OMNITAB 80

system on their particular computer. The general user will also find these

descriptive examples instructive in the use of the OMNITAB 80 system.

Key words: Accuracy; ANS FORTRAN; computer system installation; examples;

OMNITAB 80; software; test problems.

OMNITAB 80 is a high quality integrated general purpose programming language and statistical software computing system. The OMNITAB 80 computing system enables the nonprogrammer to use a

digital computer to perform data, statistical, and numerical analysis without having any prior knowledge of

computers or computer languages. The user writes simple instructions in his or her own native language to obtain accurate results simply and effectively. The instructions reference reliable, varied, and sophisticated

algorithms for analysis and manipulation of data. The tedious task of formatting data for input and output is alleviated by OMNITAB 80 through free field input and readable and automatic output. If desired,

considerable flexibility is allowed in the printing of results with user supplied formats. The system permits

the user to perform simple arithmetic, complex arithmetic and trigonometric calculations, data manipulation,

special function calculations, statistical analysis and operations on matrices and arrays. The OMNITAB 80

system may be used with equal ease either interactively or with submitted runs to the computer facility.

OMNITAB was originally conceived and developed by Joseph Hilsenrath and his co-workers and was

fully documented in Hilsenrath et al. (1966). Since then OMNITAB has been completely rewritten and

expanded, while carefully maintaining the original spirit and philosophy. OMNITAB II was made available

in 1970 and was a machine independent system (see Hogben et al. 1971). The current version is called NBS

OMNITAB 80 Version 6.0. This publication is the first of several which constitute the documentation of the

OMNITAB 80 system. It contains 69 test problems and their results which can be used to determine

whether a systems programmer has successfully installed and implemented the OMNITAB 80 system.

The OMNITAB 80 system was not only developed with the user in mind, but the systems programmer

as well. All the subprograms in the system are written in a portable subset of American National Standard

FORTRAN and checked with the PFORT Verifier. The use of any FORTRAN statement which cannot be

successfully compiled on a large computer is avoided.

OMNITAB 80 is transportable to any computer configuration sufficiently large to accommodate it. Necessary modifications for a particular computer are outlined in Bremer et al. This is reference material,

since all modifications are made prior to the distribution of the OMNITAB 80 system.

All FORTRAN compilers do not interpret FORTRAN statements in the same manner. Considerable

effort has been expended to keep the need to make modifications to an absolute minimum. Thus, it is essential that the system analyst have a means of determining whether the system performs as it originally was designed to do. It is important to the user to know what to expect from a software system when he or she inputs his or her data as well as to know how to use the package.

iii
In 1970 a set of 52 test problems and results for OMNITAB II (Varner et al.) was published.

OMNITAB 80 has many new instructions. The new set of test problems includes these new instructions as well as modifications of the original test problems for easier reading and understanding.

This note contains a set of 69 test problems and results for all of the OMNITAB 80 commands in Version 6.0 with the following exceptions: (a) PUNCH, NHISTOGRAM, EXTREMA, CONTENTS, and

DESCRIBE; (b) commands related to interactive use of OMNITAB 80 such as CRT, INTERACTIVE,

etc.; (c) commands invoking any language other than English or Spanish; (d) all the commands for using

magnetic tapes or auxiliary memory units; and (e) commands related to the CALCOMP PLOTTER. The

commands MAXMIN, a synonym for EXTREMA, and HISTOGRAM, similar to NHISTOGRAM, were

both used. In most instances only one version of a command was used since it was too cumbersome to supply test problems for all possibilities. The test problems were constructed so as to minimize the output

and make it possible to determine major errors at a glance. The test problems Fl through F10 reference the

FORMAT instructions and are grouped together at the end. A table of contents is given on pages vi and vii. The checks in the test problems are gross error checks. They are to be used to determine whether the

entire OMNITAB system has been successfully installed. They are not intended as a definitive test for each

instruction. Each instruction has undergone a far more rigorous testing for both programming and

numerical accuracy. In addition, some errors which escaped detection in the initial testing were

subsequently found in the extensive use of the instructions by users at the National Bureau of Standards and

later corrected. The results of the test problems are based on the use of OMNITAB 80 with a computer

having a 36 binary bit word length. When the same problems are run on a computer with a different word

length and with different precisions the results may differ depending on the particular computer in use. The

set of test problems and results is published here for convenient use and reference. The same set of test problems and results is available on the magnetic tape which contains the OMNITAB 80 system and can be

ordered from the Office of Standard Reference Data, A-323 Physics Building, National Bureau of

Standards, Washington, D.C. 20034.

The arrangement of the test problems is similar to the new OMNITAB 80 User's Reference Manual to be published later. Part C of the Manual describes each OMNITAB 80 instruction in detail. The test problems start with instructions listed in Part C, Section 3 through Section 13, except test 59 which is described in C.1.7. Each set of test problems begins with the command OMNITAB. Information on the OMNITAB

instruction includes the title of the test and, in parentheses, the section number or numbers associated with

the commands being tested, as described in Part C of the new and unpublished OMNITAB 80 User's Reference Manual.

The command ACCURACY was added to the system primarily for the purpose of testing the

implementation of new commands. The instruction has been used in this set of test problems and allows the

reader to see at a glance whether anticipated results agree with the actual results. When used in conjunction

with the instruction AVERAGE, it is possible to summarize the accuracy of a large set of calculations in a

single number. The instruction ACCURACY compares two (sets of) numbers and gives the number of first significant digits they have in common. Further details are given in Hogben et al. (1971). In each test problem the data used as input are assumed to be exact. The results determine whether the

calculations have been performed successfully. If anyone desires to assess the effect of errors in input data on the final results he or she could use the instruction ROUND with the input data and repeat the test problem. For example, one could ROUND the original data to seven significant digits and see what effect

this has on the final results. Mathematical identities are frequently used to obtain a single result which simultaneously verifies several computed quantities. See, for example, test 12 on hyperbolic functions. For the special functions,

frequent reference is made to Abramowitz and Stegun (1964).

This is a rare attempt to provide a comprehensive set of test problems and results for a computer

software package. The results should be very useful, both to the user and the installer of the OMNITAB 80

system. Readers are encouraged to express their comments, experiences, and criticisms. The valuable

assistance received from all members of the Statistical Engineering Division is gratefully acknowledged. A

special thanks is extended to Use E. Putman and Carla G. Messina for preparing the text and the examples,

respectively, for computerized phototypesetting. Last, but not least, we extend our appreciation to David

Hogben for his valuable assistance.

iv
References

Abramowitz, Milton and Stegun, Irene (1964). Handbook of Mathematical Functions, NBS Applied

Mathematics Series 55, Superintendent of Documents, U.S. Government Printing Office, Washington,

D.C. 20402.

American National Standard Programming Language FORTRAN (1978). American National Standards

Institute, New York.

Bremer, Shirley G., Peavy, Sally T., and Hogben, David. A Systems Programmer's Guide for Installing

OMNITAB 80. NBS Technical Note in preparation.

Hilsenrath, J., Ziegler, G G, Messina, C. G, Walsh, P. J., and Herbold, R. J. (1966). OMNITAB: A

Computer Program for Statistical and Numerical Analysis. National Bureau of Standards Handbook

101, Superintendent of Documents, U.S. Government Printing Office, Washington, D.C. 20402.

Reissued January 1968 with corrections.

Hogben, David and Peavy, Sally T. (1977). OMNITAB II User's Reference Manual 1977 Supplement.

NBSIR 77-1276, Superintendent of Documents, U.S. Government Printing Office, Washington, D.C.

20402.

Hogben, David, Peavy, S. T., and Varner, R. N. (1970). OMNITAB II User's Reference Manual. NBS

Technical Note 552, Superintendent of Documents, U.S. Government Printing Office, Washington,

D.C. 20402.

Peavy, S. T., Varner, R. N., and Hogben, David (1970). Source Listing of OMNITAB II Program. NBS

Special Publication 339, Superintendent of Documents, U.S. Government Printing Office, Washington,

D.C. 20402.

Ryder, B. C. and Hall, A. D. (1975). The PFORT Verifier Computing Science Technical Report #12, Bell Laboratories, Murray Hill, New Jersey 07974.

Varner, R. N. and Peavy, S. T. (1970). Test Problems and Results for OMNITAB II. NBS Technical Note

551, Superintendent of Documents, U.S. Government Printing Office, Washington, D.C. 20402.
TABLE OF CONTENTS FOR TEST PROBLEM LISTINGS

OMNITAB prints PAGE and number at the extreme right of the top line of each page. The page

number for this table of contents appears at the bottom of each page. Numbering does not begin anew with

each set of instructions as does the OMNITAB page number.

Test No. Omnitab Title Line Page

1 CPLOT AND NCPLOT INSTRUCTIONS. (3.2) 1 2 NICE PLOT. TITLES, WIDTH AND LENGTH INSTR. (3.3), (3.4), (3.5) 3

3 TWOPLOT AND FOURPLOT INSTRUCTIONS. (3.6) 7 4 STEM LEAF INSTRUCTIONS. (3.8) 10

5 STATPLOT INSTRUCTION. (3.8) 12 6 PROBABILITY PLOT INSTRUCTIONS. (3.9) AND (7.5) 14

7 ARITHMETIC INSTRUCTIONS. (4.1) 31

8 CHANGE INSTRUCTION. (4.2) 34

9 MATHEMATICAL FUNCTIONS. (4.3) 36

10 SINE. COSINE, TANGENT AND COTANGENT INSTRUCTIONS. (4.4) 38

1TRIGONOMETRIC FUNCTIONS. (4.4) 45

12 HYPERBOLIC FUNCTIONS. (4.4) 49

13 ROUND INSTRUCTION. (4.7) 53

14 SUM, PARPRODUCT, PARSUM AND RMS (ROOT MEAN SQUARE). (4.7) 55

15 PERCENTAGES, PROPORTIONS AND DAYS INSTRUCTIONS. (4.7) 57

16 EXPAND AND SHORTEN INSTRUCTIONS. (4.7) AND (5.3) 59

17 COMPLEX ARITHMETIC INSTRUCTIONS. (4.8) 61

18 DEMOTE AND PROMOTE INSTRUCTIONS. (5.2) 66

19 EXCHANGE INSTRUCTION. (5.2) 68

20 MOVE, AMOVE AND MMOVE INSTRUCTIONS. (5.2), (10.2) AND (1 1.2) 70

21 CENSOR, SELECT AND SEARCH INSTRUCTIONS. (5.3) AND (5.5) 73

22 INSERT, SEPARATE AND MAXMIN INSTRUCTIONS. (5.3) AND (8.5) 80

23 HIERARCHY, ORDER AND SORT INSTRUCTIONS. (5.4) 84

24 CHOOSE, RETAIN, OMIT AND DELETE INSTRUCTIONS. (5.6) 87

25 CODE, RECODE AND REPLACE INSTRUCTIONS. (5.6) 95

26 MAXIMUM AND MINIMUM INSTRUCTIONS. (6.1) 100

27 STATISTICAL ANALYSIS. (6.3) 102

28 POLYFIT INSTRUCTION. (6.4) 110

29 ONEWAY AND SONEWAY INSTRUCTIONS. (6.6) 1 17 30 TWOWAY AND STWOWAY INSTRUCTIONS. (6.6) 122

31 CORRELATION AND SCORRELATION INSTRUCTIONS. (6.7) 125

32 CONTINGENCY TABLE ANALYSIS. (6.8) 132

33 EXAMPLES OF TABLE AND NTABLE INSTRUCTIONS. (6.9) 135

34 PROBABILITY DENSITY FUNCTIONS. (7.1) 154

35 PROB DENS, CUMUL DIST AND PERCENT PT. (7. 1), (7.2) AND (7.3) 158

36 PROB DENS, CUMUL DIST AND PERCENT PT. (7. 1), (7.2) AND (7.3) 165

37 CUMULATIVE DIST AND PERCENT PT. (7.2) AND (7.3) 169

38 CUMULATIVE DISTRIBUTION AND PERCENT PT. (7.2) AND (7.3) 172 39 RANDOM NUMBER INSTRUCTIONS. (7.4) 177 40 EXAMPLES OF SAMPLE WITH AND WITHOUT REPEAT. (7.6) 181 41 EXAMPLES OF ELLIPTICAL INTEGRAL OF ORDERS 1 AND 2. (8.1) 183

42 ERROR AND COMPLEMENTARY ERROR INSTRUCTIONS. (8.1) 185 43 EXAMPLE OF GAMMA INSTRUCTION. (8.1) 187

44 SPECIAL INTEGRALS. (8.1) 189

45 STRUVE FUNCTIONS AND INTEGRAL OF J(0). (8.1) AND (12.10) 193 46 CHEBYSHEV, HERMITE, LAGUERRE AND LEGENDRE POLYS. (8.2) 195

vi
Test No. Omnitab Title Line Page

47 DIFFERENCES AND DIVDIFFERENCES INSTRUCTIONS. (8.3) 202

48 ISOLATE, ISETUP AND ITERATE INSTRUCTIONS. (8.4) 205

49 INTERPOLATE INSTRUCTION. (8.5) 211

50 GAUSS QUADRATURE INSTRUCTION. (8.6) 214

51 ARRAY AND MATRIX INSTRUCTIONS. (10.) AND (11.) 216

52 ACOALESCE AND AAVERAGE INSTRUCTIONS. (10.3) 223

53 MTRIAN, MINVERT AND MRAISE INSTRUCTIONS. (11.3) AND (11.5) 225

54 MATRIX INSTRUCTIONS M(XX') AND M(X'X). (11.4) 229

55 BESSEL FUNCTIONS. (12.1), (12.2) AND (12.3) 231

56 BESSEL OF COMPLEX ARGS. (12.4), (12.5), (12.6) AND (12.7) 235

57 ZEROS OF BESSEL FUNCTIONS AND FUNCT. OF ORDER N. (12.8) (12.9) 243

58 THERMODYNAMIC FUNCTIONS. (13.3) AND (13.4) 247

59 VOCABULARY AND FOREIGN LANGUAGE INSTR. (1.7) 255

Fl COUNT, DUPLICATE AND CLOSE UP INSTR. (5.1), (5.2) AND (5.3) 264

F2 REGRESSION ANAL., BESTCP AND SPLIT PLOT. (6.4), (6.5), (6.6) 269

F3 HARMONIC ANALYSIS INSTRUCTION. (8.5) 279

F4 SOLVE LINEAR EQUATIONS AND INVERT MATRIX. (8.5) AND (1 1.5) 281

F5 BRANCHING INSTRUCTIONS. (9.3) AND (9.4) 288

F6 ARRAY AND MATRIX INSTRUCTIONS. (10.1), (10.2), (11.1), (11.3) 291

F7 MATRIX INSTRUCTIONS M(AD), M(DA) AND M(V'A). (11.4) 294

F8 EXAMPLES OF MATRIX INSTRUCTIONS M(XAX') AND M(X'AX). (11.4) 297

F9 TEMP. SCALE CONVERSION AND ATOMIC WT. (13.1) AND (13.3) 299

F10 PHYSICAL CONSTANTS. (13.2) 303

vn

OMNITAB 80 TEST 1 CPLOT AND NCPLOT INSTRUCTIONS. (3.2) PAGE 1

HOR- X ,VER- SINE (A), COSINE (B), POINTS PLOTTED 50, POINTS NOT PLOTTED - OUT OF BOUND 32

+ + + x + + + 1.0000 + B B B AAA + B B A A -

B B A A - B B A -

S - A -

I - B B - N - B A B

X B A B

.00021X B A B X

C B A B

- S - B A B -

X - B A B -

- B A B - - A A

- A A - -.99957+ AAA +

+ + + x + + + -2.5 0. 2.5 GRAPH 1 CPLOT

HOR- X ,VER- SINE (1), COSINE (3), POINTS PLOTTED 62, POINTS NOT PLOTTED - OUT OF BOUND 20

+ + + + x + + + + S 1.0000 + 33333 11111 +

I - 3 3 11 1 - N - 3 3 13 3 11- 3 13 1 - X 3 13 1- X 3 1 3 X C0-13-1 3 1 3 -

1 3 -

S - 1 1 3 1 3 -

3 3 1 11 3 3- X -.99957+3 3 11111 3 3+

+ + 4 4 x + + + + -3. -1.2857 0. 1.2857 3. GRAPH 2 NCPLOT
OMNITAB 80 TEST 1 CPLOT AND NCPLOT INSTRUCTIONS. (3.2) PAGE

LIST OF DATA, INSTRUCTIONS AND DIAGNOSTICS

LABEL X, SINE, COSINE

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - (X) IS IN COL (1), (SINE) IS IN COL (2) (COSINE) IS IN COL (3) GENERATE NOS. FROM -4. IN STEPS OF (.2) THRU 4.0 IN X

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM TO 41.

SIN OF X PUT IN SINE COS OF X PUT IN COSINE

TITLEY SIN X COS X TITLEX GRAPH 1 CPLOT

WIDTH 75 CHARACTERS PER LINE LENGTH 30 LINES PER PAGE CPLOT SINE, SYMBOL 11. AND COSINE, SYMBOL 12. VS X FROM -2.5 TO +2.5 SPACE 5 WIDTH 90 CHARACTERS PER LINE LENGTH 20 LINES PER PAGE TITLEY SIN X COS X TITLEX GRAPH 2 NCPLOT

NCPLOT SINE, SYMBOL 1. AND COSINE, SYMBOL 3. VS X FROM -3.0 TO +3.0

NATIONAL BUREAU OF STANDARDS. WASHINGTON, D. C. 20234 OMNITAB 80 VERSION 6.00 MARCH 2, 1981
OMNITAB 80 TEST 2 NICE PLOT, TITLES, WIDTH AND LENGTH INSTR. (3.3), (3 PAGE 1 INSTRUCTION IS NICE PLOT. HOR- COLUMN 1 VER- COLUMN 2 (.), COLUMN 3 (*), COLUMN 4 (+), COLUMN 5 (,),

+ + + __x + + + + 3.0+ +

1.7+

.4+

X

.9+

-2.2+

-3.5 +

+

-2.5 -+—

+- .33333 —

1.8333
OMNITAB 80 TEST 2 NICE PLOT, TITLES, WIDTH AND LENGTH INSTR. (3.3), (3 PAGE 2 INSTRUCTION IS NICE NPLOT.

HOR- COLUMN 1 VER- COLUMN 2 (.), COLUMN 3 (*), COLUMN 4 (-), COLUMN 5 (,),

+ .__x

3.0+ +

1.7+

.4+

X

.9+

-2.2-

-3.5-

-2.5 .33333 1.8333 4.
OMNITAB 80 TEST 2 NICE PLOT, TITLES, WIDTH AND LENGTH INSTR. (3.3), (3.4)3 INSTRUCTIONS ARE NICE CPLOT AND NICE NCPLOT.

HOR- X ,VER- SINE (S), COSINE (3),

1.4+ +

S

- 3 3 S S

IN - S

3 S 3 ,1+3 3 S + X S X

3- S 3 Ss

-1.2+ +

-2.5 .75 4. GRAPH 1 NICE CPLOT

HOR- X ,VER-

_|_ SINE (5),+ X COSINE (7),

__L 1 X S 1.4+

T T T t T T T +

I - -

N - 7 7

7

7 57

5 5

5

-

X

X 7 5

5 7 5 X

c - -

- 7 5 7 5 -

s -

5 5 5

7

7 7 7-

X -1.2+

± _L + X _L _L _ J _ i _|_ __ +J. -2 5 -.64286 .75 2 1429 4. GRAPH 2 NICE NCPLOT
OMNITAB 80 TEST 2 NICE PLOT, TITLES, WIDTH AND LENGTH INSTR. (3.3), (3.4), (3.5) PAGE

LIST OF DATA, INSTRUCTIONS AND DIAGNOSTICS

GENERATE NOS FROM -2.0 IN STEPS OF .5 THRU 4. IN COL 1

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM TO 13.

SIN OF COL 1 PUT IN COL 2 COS OF COL 1 PUT IN COL 3 ADD COL 2 TO COL 3 PUT RESULT IN COL 4 MULTIPLY COL 1 BY . 5 THEN BY 1.0 ADD -1.0 PUT IN COL 5 WIDTH 80 CHARACTERS PER LINE

TITLE1 INSTRUCTION IS NICE PLOT. NICE PLOT COLS 2 3 4 5 VERSUS COL 1 TITLE1 INSTRUCTION IS NICE NPLOT. NEW PAGE NICE NPLOT COLS 2 3 4 5 VERSUS COL 1 LABEL X, SINE, COSINE

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - (X) IS IN COL (1), (SINE) IS IN COL (2) (COSINE) IS IN COL (3)

TITLEY SIN X COS X TITLEX GRAPH 1 NICE CPLOT

WIDTH 75 CHARACTERS PER LINE LENGTH 30 LINES PER PAGE

TITLE1 INSTRUCTIONS ARE NICE CPLOT AND NICE NCPLOT. NICE CPLOT SINE, SYMBOL 29. AND COSINE, SYMBOL 3. VS X SPACE 5 WIDTH 90 CHARACTERS PER LINE LENGTH 20 LINES PER PAGE TITLEY SIN X COS X TITLEX GRAPH 2 NICE NCPLOT

NICE NCPLOT SINE, SYMBOL 5. AND COSINE, SYMBOL 7. VS X WIDTH 100 LINES PER PAGE

NATIONAL BUREAU OF STANDARDS. WASHINGTON, D. C. 20234 OMNITAB 80 VERSION 6.00 MARCH 2, 1981
Ill

—t— I • • —I— tilt—I— fill

LUo

a.

ON LU

rn 1a.

r») t- ^- o CM z <s

LO z r~ O s

c-i z _? s -J o o oa (_> u. Cfl o LO

OJ £

asLU

rsl o >

LO LU £ o >—

u § QLU " E — a.en o-J

a.

aLUoo

a. 8 ooo i l — — t • —•— t i • —-. — • i i

LO -J Z LU o as »*d LO 3 =1

OS LO

S- OS

1/5 LU Z > **H _ O • _j^

a. vo

os

—

L3CN Z oLu LU e§ o -j z cu o < w Lu S-LU o O-J —1 0- (-

Cu £ o 0«C _1 h-LU

a.

<*">

KH

f-

—

LO S LUC/5 h-ozoo <: CK<LU

f-ou Sal

=SQ

O oLU

r^

a.

S- •* oz ^o* c«

"~ o z z3 3§ o -J

03 o

LUO CW

<s —)

OS (- LO 3 OS O O LU LO > z i-N o OO Cu I I I I -I- I I I I 8 QLUs=o_la.V)

aLUP3a.

(-OoaLUo o

vO
OMNITAB 80 TEST 3 TWOPLOT AND FOURPLOT INSTRUCTIONS. (3.6) DRAPER AND SMITH EXAMPLE (PAGE 216).

PLOT OF REL. INCOME VERSUS COLUMN 14

+ + + + + + 12.000 + .+

11.325 +

10.650 +

9.975 +

9.300 +. + + + + + + + 140.8 149.78 158.76 167.74 176.72 185.7

9 POINTS PLOTTED POINTS OUT OF BOUNDS NOT PLOTTED

PLOT OF COLUMN 13 VERSUS COLUMN 14

I + + + + 1 31.90 + . +

26.05 +

20.20 +

14.35 +

8.50 + . +

+ + + +

1 + 140.8 149.78 158.76 167.74 176.72 185.7

9 POINTS PLOTTED POINTS OUT OF BOUNDS NOT PLOTTED
OMNITAB 80 TEST 3 TWOPLOT AND FOURPLOT INSTRUCTIONS. (3.6)

LIST OF DATA, INSTRUCTIONS AND DIAGNOSTICS

READ DATA INTO COLUMNS 11, 12, 13 AND 14 42.2 11.2 31.9 167.1 48.6 10.6 13.2 174.4 42.6 10.6 28.7 160.8 39.0 10.4 26.1 162.0 34.7 9.3 30.1 140.8 44.5 10.8 8.5 174.6

39.1 10.7 24.3 163.7

40.1 10.0 18.6 174.5 45.9 12.0 20.4 185.7

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM TO 9.

SCORRELATION FOR 4 VARIABLES IN COLS 11 *** 14 STORE 1,41 TITLE1 DRAPER AND SMITH EXAMPLE (PAGE 216). LABEL REL. INCOME, 12

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - (REL. INCOME) IS IN COL (12)

FOURPLOTS 11VS12, 11 ,30. ,40. VS13, 1 1VS14, 140. , 190. , 12,9. , 1 1 .5VS13, 10. ,35. WIDTH 80 TWOPLOTS PLOT ONE OF COL 12 VS COL 14, PLOT TWO OF COL 13 VS COL 14

NATIONAL BUREAU OF STANDARDS. WASHINGTON, D. C. 20234 OMNITAB 80 VERSION 6.00 MARCH 2, 1981
OMNITAB 80 TEST 4 STEM LEAF INSTRUCTIONS. (3.8) PAGE 1

STEM AND LEAF DISPLAY FOR COLUMN

DEPTH SCRAWL STEM

1

124

4

567

9

1113172329

24

20

114

3

32

2

SCRAWL (N= 59,

LEAF

07/-06 ( 7/ 05/-04

03/-02 8/ 01/-00 /32

00/-01

02/-03 /9 04/-05 5/ 06/-07 2/ 08/-09 28/

10/- L4/1

12/- 13 36/

14/-15 01/48

16/-17 4469/37

18/-19 18/1999

20/-21 449/337

22/-23 0/117

24/-25 001249/127

26/-27 079/3666

28/-29 n

30/-31

32/-33 /o 34/-35

36/-37 /47

-77.000000, H= 147.50000, M= 204.00000, H= 246.50000, •= 377.00000)

EACH STEM UNIT IS 10 EACH LEAF UNIT IS 1 -07/-06 ( 7 READS AS -77 -36A37 ( 7 READS AS 377

FOR THE ABOVE STEM AND LEAF DISPLAY. THE FOLLOWING VARIABLES WERE USED

I = 1, J = 2, K = 1, L = 1

***************************************************************************

THE FOLLOWING VALUES MUST BE EQUAL TO OR NEAR 201 0.0 0.0.

201 0.0000000-00 O.OOOOOOO-OO ft*************************************************************************

10
OMNITAB 80 TEST 4 STEM LEAF INSTRUCTIONS. (3.8)

LIST OF DATA, INSTRUCTIONS AND DIAGNOSTICS

PAGE 2

SET IN COL 9 THE FOLLOWING DATA

-77 -38 -3 -2 104 111 123 126 140 141 154 158 164 164 166 169

173 177 181 188 191 199 199 199 39 45 62 82 88 204 204 209

213 213 217 220 330 297 273 276

276 276 260 267 269 251 252 257 240 240 241 242 244 249 231 231 377 237 374

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM TO 59.

STEM LEAF OF COL 9,1=1, J=2,K=1 AND L=l PUT SCRAWL IN COL 1 AND DEPTH IN COL 2 SSTEM LEAF OF COL 9 1=1 , J=2,K=1 ,L=1 PUT SCRAWL IN COL 3 AND DEPTH IN COL 4 SUB COL 1 FROM COL 3 PUT IN COL 5 SUB COL 2 FROM COL 4 PUT IN COL 6 SUM COL 5 ROW 1 THRU ROW 8 RESULT IN COL 7 SUM COL 6 ROW 2 THRU **1,2** RESULT IN COL 8 RESET V TO THE VALUE IN *1 2* ADD 1.0 TO THE VALUE OF *V* AND PUT RESULT IN COL 11 SUM COL 2 ROW 2 THRU **1,11** RESULT IN COL 10 SPACE 2 NOTE ***************************************************************************

SPACE

NOTE THE FOLLOWING VALUES MUST BE EQUAL TO OR NEAR 201 0.0 0.0. SPACE ABRIDGE ROW 1 FOR 3.0 COLS, COL 10 INT (0) -5 PLACES, COL 7,8,0, COL 8,8,0

$ THE LAST TWO COLS (7 AND 8) ARE PRINTED AS FLOATING PT. NOS WITH 8 SIG. DIGS. SPACE

NOTE ***************************************************************************

NATIONAL BUREAU OF STANDARDS. WASHINGTON, D. C. 20234 OMNITAB 80 VERSION 6.00 MARCH 2, 1981
1aI r~ o•<*

1 Cvl in

c* r— O •— r-i O ro llOOn o o -t-ts (- O O r~

1 vO Z -orUJ <^*l • (N wmo o * o —i 1 <~^1 II u_

U. II UJ SB II > 1 <"•) O * UJ -t-O t_> - Q 1 tj- O -

1 m ZOO O O O Q — i- D HOOT1 < O -iao

UJ t-~

1 <N Oi U"> Tt H-O Di 1 0\

1 * O 1 W"> C_> II * ll o 1 1 (- BBO O - ""> _J O TO

a. o o-*

(N O • >- Of- + (N H (Oh 1 vO «-Z O —

-J w . 1 i—I <N

1 1 SJ4! II <S=£ —

ffl< IZ O oz <

a:u iiuj

1 -^ O.MES

I I I I I

I I I I I t rO <N <N ~" ~- I I — ^-(NNnnTtTf^<n<n

I I I I I

I I I I I I I

h-O_1

D- HH

f-< oo H=>

oo oo

ci Z HJ o>

i- - QJ ^3 I— oo oi w(- X m 00z - Z UJ o X hH H Ht_> s z -j OS ptf Oi 3

H U. _l

!/-i o ^ (- O 3a- u. H (- o O 3 _l OlEL, o

H UJ _J < a: a. H \—

XX

xxxxxxxxxxxxxxx xxxxxxxxxxxxxxxxxxx xxxxxxxxxx xxxxxxx xxxxxxxxxx xxxxxxxxx xxxxxxxx xxxxx xxxxxxxxx xxxxxx xxxxxxx xxxxxxxxxx

xxxxxxxxxxx xxxxxxxxxxxxxxxxxxxxx

uj —

(- =*o O -J

I I I I

0^0<NM't0^0iv ^H,n^f^r-^^ffvmf^^-ina Ovi — sOfNoom imc\r*ioor*4r--~~mo ,*i-0'\mr^ mrjoi — — I ^h — (NfNimrn^tTtftmin

O\0N00^Ov0N00'tO*M»"tO*N»^'O —

s

<OSO 1- CTn V> o 00 (— <N z OO O —

— a: f^SfO < UJ

tT — 3= ^D> Svo O uu

i- m Tj- O Z *</-> V> Q vO man< UJ Q SII z z

< —

I

OO (— oi O z oo cu

- o\ — O— V-l (—

o-. f- o c* < a. z — O > o > uj o UJ OO oi

CM O 00 UJ

UJ » 00 Q U oi X Q •«* 1 ll < UJ Z I/I O < •* 00 z z 1 f- < — z

Z (- <

UJ oo uj uj s «

s

UJ O) UJ

Oi • * UJ

- 0\ r^t => _J O 1 oo oo a. o < IIZS

UJ O < 1 EImCO

S-(-

U. O -< UJ O — > 3=

=£ oi 1—

a: UJ

- ^- U~t UJ 0O 0O f—

-C 1 CQ 0O CD u-> m s «c o o uj -j ca

1 Z (_> o <

I I I I I I I

12
OMNITAB 80 TEST 5 STATPLOT INSTRUCTION. (3.8) PAGE

LIST OF DATA, INSTRUCTIONS AND DIAGNOSTICS

SET LEW BEAM DEFLECTION DATA INTO COLUMN 1 -213 -564 -035 -015 +141 +115 -420 -360 +203 -338

-431 +194 -220 -513 +154 -125 -559 +092 -021 -579

-052 +099 -543 -175 +162 -457 -346 + 204 -300 -474

+164 -107 -572 -008 +083 -541 -224 +180 -420 -374

+201 -236 -531 +083 +027 -564 -112 +131 -507 -254

+199 -311 -495 +143 -046 -579 -090 +136 -472 -338

+202 -287 -477 +169 -124 -568 +017 +048 -568 -135

+162 -430 -422 +172 -074 -577 -013 +092 -534 -243 +194 -355 -465 +156 -081 -578 -064 +139 -449 -384

+193 -198 -538 +110 -044 -577 -006 +066 -552 -164

+161 -460 -344 +205 -281 -504 +134 -028 -576 -118 +156 -437 -381 +200 -220 -540 +083 +011 -568 -160

+172 -414 -408 +188 -125 -572 -032 +139 -492 -321

+205 -262 -504 +142 -083 -574 -000 +048 -571 -106

+137 -501 -266 +190 -391 -406 +194 -186 -553 +083 -013 -577 -049 +103 -515 -280 +201 +300 -506 +131 -045 -578 -080 +138 -462 -361 +201 -211 -554 +032 +074 -533 -235 +187 -372 -442 +182 -147 -566 +025

+068 -535 -244 +194-351 -463 +174 -125 -570 +015

+072 -550 -190 +172 -424 -385 +198 -218 -536 +096

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM TO 200.

TITLE3 THE FOLLOWING IS THE OUTPUT FROM THE INSTRUCTION STATPLOT. STATPLOTS OF COLUMN 1

NATIONAL BUREAU OF STANDARDS. WASHINGTON, D. C. 20234 OMNITAB 80 VERSION 6.00 MARCH 2, 1981

13
OMNI TAB 80 TEST 6 PROBABILITY PLOT INSTRUCTIONS. (3.9) AND (7.5) PAGE 1

UNIFORM PROBABILITY PLOT OF 500 MEASUREMENTS IN COLUMN 1

3.4360- *-

2.2194*

***

** ***

1.0028-

*** ***

*** _   _

_ ** *** _

_ ****** _ _ ****** _ _ ***** _

_   . _

X ** ** X

_ ****** _ .21380- ***** + _ ******* _

_ ****** _ _ ******* _

_ *** _

_   _

_ ** *** _

_ *** _

_ ***** _   -1.4304+ ** *

**

**

*

_** -2.6470+*

.0013853 .20083 .40028 .59972 .79917 .99861

PROB. PLOT CORR. COEFF. = .9757, ESTIMATES * INTERCEPT = -1.7279257, SLOPE = 3.4499795

14
OMNITAB 80 TEST 6 PROBABILITY PLOT INSTRUCTIONS. (3.9) AND (7.5) PAGE 2

NORMAL PROBABILITY PLOT OF 500 MEASUREMENTS IN COLUMN 1 + + + + + x + + + + + 3.4360+ •+

2.2194+ •• _ •* •••

_ •• *•

»•

• •

1.0028+

•* **•

+ *•* _

• • _

• ** _ *•• _

_ *»•* _

_ »* _

• * X

*• X

*** -.21380+ •••

+ ***

• »»*

_ ***

_ «* _ * _ **** _ *»* _

-1.4304+ • •••

****

_ ** _

_ •** _

_ *«

_ * *

-2. 6470+ * * +

+ + + + + x + + +-- + + -2.9921 -1.7953 -.59842 .59842 1.7953 2.9921

PROB. PLOT CORR. COEFF. = .9962, ESTIMATES * INTERCEPT = -.0029359998, SLOPE = 1.0213074

15
OMNITAB 80 TEST 6 PROBABILITY PLOT INSTRUCTIONS. (3.9) AND (7.5) PAGE 3

LOGISTIC PROBABILITY PLOT OF 500 MEASUREMENTS IN COLUMN 1 + + + + + x + + + + + 3.4360* *+

2.2194+

***

**

** ***

***

1.0028+

*• ***

**

** * ***

X ** X

_ *** _ -.21380+ ** + _ *** _ _ *** _

_ *** _ _ ** _

_ ** _

_ *** _ _ ** _ _ ***** _

_   _ -1.4304+ ** * +

** ***

**

-2.6470+* * +

+ + + + + x + + + + + -6.5804 -3.9483 -1.3161 1.3161 3.9483 6.5804

PROB. PLOT CORR. COEFF. = .9928, ESTIMATES * INTERCEPT = -.0029359998, SLOPE = .56394400

16
OMNITAB 80 TEST 6 PROBABILITY PLOT INSTRUCTIONS. (3.9) AND (7.5) PAGE 4

DOUBLE EXPONENTIAL PROBABILITY PLOT OF 500 MEASUREMENTS IN COLUMN 1 +- -+- -+- 3.4360+

-+

* +

2.2194+

** ***

**

**

1.0028+

***

**

**

***

**

**

X

-.21380+

•1.4304+

+ * ** **

**

**

**

»* ***

** *****

**••

 

** * **•*

-2.6470+* * + + + + + x + + + +- -5.8887 -3.5332 -1.1777 1.1777 3.5332

PROB. PLOT CORR. COEFF. = .9790, ESTIMATES * INTERCEPT = -.0029359998, SLOPE = .71637579

-+ 5.8887

17
OMNITAB 80 TEST 6 PROBABILITY PLOT INSTRUCTIONS. (3.9) AND (7.5) PAGE 5

CAUCHY PROBABILITY PLOT OF 500 MEASUREMENTS IN COLUMN 1 + + + + + x +- 3.4360+

2.2194+

1.0028+

X

.21380+

**

-1.4304+ * **

**

*• **

-2. 6470+

-229.77 -137.86 -45.954 45.954 137.86

PROB. PLOT CORR. COEFF. = .4923, ESTIMATES * INTERCEPT = -.0029359998, SLOPE = .029397011

+ —

229.77

18
OMNITAB 80 TEST 6 PROBABILITY PLOT INSTRUCTIONS. (3.9) AND (7.5) PAGE 6

EXPONENTIAL PROBABILITY PLOT OF 500 MEASUREMENTS IN COLUMN 1 + + + + + + + + + + + 3.4360+ *

+

* *

_ * ** 2.2194+ ** _ ***

_ *****

_ ***

_  

_ ** **

_ ***

_ ***

_ ** *** 1.0028+

- *** _

-   _

- ** * _

- **** _ *** _

_ ** - ***

X ** X

_ ** -.21380+ *** + _ ** _

- ** _ _ ** _ _ ** _ * _ _ ** _ _ ** _

_ * _ ** _ -1.4304+ * +

-2.6470+* +

+ + + + + + + + + + + .0013863 1.3175 2.6336 3.9496 5.2657 6.581! PROB. PLOT CORR. COEFF. = .9351, ESTIMATES * INTERCEPT = -.96711171, SLOPE = .96692374

19
OMNITAB 80 TEST 6 PROBABILITY PLOT INSTRUCTIONS. (3.9) AND (7.5) PAGE 7

3.4360+

LOG-NORMAL PROBABILITY PLOT OF 500 MEASUREMENTS IN COLUMN 1

I. + + 1 + + + + +- -+*+

2.2194+

***

1.0028+

*»*

** **

*»

** ***

_ **

**

* X **

-.21380+

**

-1.4304+ *

-2.6470+*

+ + + .050182 4.0256

PROB. PLOT CORR. COEFF.

_+ + + + + + 8.0011 11.977 15:952

.8334, ESTIMATES * INTERCEPT = -.69753332, SLOPE = .42526577

+ —

19.927

20
OMNITAB 80 TEST 6 PROBABILITY PLOT INSTRUCTIONS. (3.9) AND (7.5) PAGE 8

HALF-NORMAL PROBABILITY PLOT OF 500 MEASUREMENTS IN COLUMN 1 + + + + + + + + + + + 3.4360+ * +

- * * _ _ * * _

_ * _

_ ** * _ 2.2194+ ** + _ *** _

_   _ _ ** ** _ _  

_ ** **

_ ** _ *** _ _ *** _ _   _ 1.0028+ ** * + _ ***» _ _ *** _

_ ***** _ _   _ _ ** ** _ _ *** _

_ *** _

X *** X

_ *** -.21380+ ** + _   _

_ ** * _

_ *** _

_ * _ _ ** _

** _ ** ***

** _ -1.4304+ **

+ **

-2. 6470+

+

+ + + + + + + + 1 + + .0017363 .64093 1.2801 1.9193 2.5585 3.1977

PROB. PLOT CORR. COEFF. = .9807, ESTIMATES * INTERCEPT = -1.3323330, SLOPE = 1.6680247

21
OMNITAB 80 TEST 6 PROBABILITY PLOT INSTRUCTIONS. (3.9) AND (7.5) PAGE 9

EXTREME VALUE PROBABILITY PLOT OF 500 MEASUREMENTS IN COLUMN 1 + + T _x + + + 3.4360-

2.2194*

1.0028-

* * _

* *

• _

** * _

** *** _   _ ** * _

**** _ *** _

** _ *** _ *** _ *** _

+ _ **» _

_ *** _

_ ***

_ *** _ _ *** _ _ ** _ _ ** _ X *** X

_ ** _

-.21380- **

_ *** _ _ ** _

_ *** _

** _

_ ** _

_ ** _

_ ** _

_ *** _

_ ** _

-1.4304- *** + _ ** _ _ ** _

_ * _

_ * _ **

_ **

-2.6470-* * +

+ i_X + + 1 +

1 -1.8843 -.19122 1.5019 3.1950 4.8880 6.5811

PROB. PLOT CORR. COEFF. = .9851, ESTIMATES * INTERCEPT = -.45777460, SLOPE = .79115441

22
OMNITAB 80 TEST 6 PROBABILITY PLOT INSTRUCTIONS. (3.9) AND (7.5) PAGE 10

EXTREME VALUE PROBABILITY PLOT OF 500 MEASUREMENTS IN COLUMN 1 WITH PARAMETER = 2.0000000

I + + + + + j. + + + + 3.4360+ *+

2.2194+

*• * ** ***

***

»»*

1.0028+

**

• *

• *

** **

X * X

_ * _ -.21380+ * +

_ » _ «*

_ * _ » _ * -1.4304+ » _ » _»*

_*

_*

-2.6470+* +

+ + + + + + + + + + + .38979 5.6834 10.977 16.271 21.564 26.858

PROB. PLOT CORR. COEFF. = .7262, ESTIMATES * INTERCEPT = -.65159921, SLOPE = .37508196

23
OMNI TAB 80 TEST 6 PROBABILITY PLOT INSTRUCTIONS. (3.9) AND (7.5) PAGE 11

GAMMA PROBABILITY PLOT OF 500 MEASUREMENTS IN COLUMN 1 WITH PARAMETER = 2.0000000

3.4360- *+

* • * *

2.2194-

** *

* * _ *** _

_ ***** _

  _

_ ** ** _

_ *** _

_ ** _

_ *** _

_ *** _ _ *** _ 1.0028- ** + _ *** _

_   _

_ ** * _ _ *** _

_ *** _ _ ** _ _ ** _

X *** X

*** _ .21380- ** + _ *** _

_ *** _ _ ** _

_ ** _ _ ** _ _ ** _ _ ** _ *** _

-1.4304- **

-2.6470-* +

.053583 1.8172 3.5808 5.3444 7.1081 8.8717

PROB. PLOT CORR. COEFF. = .9702, ESTIMATES * INTERCEPT = -1.4138613, SLOPE = .70654470

24
OMNITAB 80 TEST 6 PROBABILITY PLOT INSTRUCTIONS. (3.9) AND (7.5) PAGE 12

LAMBDA PROBABILITY PLOT OF 500 MEASUREMENTS IN COLUMN 1 WITH PARAMETER = 2.0000000

+ + + + + x + + + + + 3.4360+ * +

* _ ** _ 2.2194+ * + _ ** _ _ ** _ ** _ _ ** _

_ *** _ _ ** _ *** _

1.0028+

***

*** ***  

_ ** *** _

_ ****** _ _ ****** _

_ ***** _

_   _

X ** ** X

_ ****** _ -.21380+ *****

+ _ ******* _ _ ****** ******* _

***   _ ** *** _ ***

_ ***** _ _   _ -1.4304+ ** * + ** _

_** -2.6470+*

-.49861 -.29917 -.099723 .099723 .29917 .49861

PROB. PLOT CORR. COEFF. = .9757, ESTIMATES * INTERCEPT = -.0029359998, SLOPE = 3.4499794

25
OMNITAB 80 TEST 6 PROBABILITY PLOT INSTRUCTIONS. (3.9) AND (7.5)

POISSON PROBABILITY PLOT OF 500 MEASUREMENTS IN COLUMN

PAGE 13

MTH PARAMETER = 2.0000000

3.4360-

2.21944

1.0028-

.21380-

-1.4304-*

-2.6470-*

. 1 . 4000

PROB. PLOT CORR. C0EF7. 2.8000 4. 2000 5.6000.9683, ESTIMATES * INTERCEPT = -1.4068057. SLOPE = .70334153

+

7.0000

26
OMNITAB 80 TEST 6 PROBABILITY PLOT INSTRUCTIONS. (3.9) AND (7.5) PAGE 14

WE I BULL PROBABILITY PLOT OF 500 MEASUREMENTS IN COLUMN 1 WITH PARAMETER = 2.0000000

+ + + + + + + + + + + 3.4360^ *+

* *

2.2194-

** * ***

1.0028-

 

** * _

+ _ *** _ _ »** _

_ »*** _

_ *** _ _   _ _ ** » _ _ *** _

X ** X

_   _ .21380- ** * + _ *** _

_ *** _

_   _ _ **  _

_ ** _ _ *** _

- *** _

_   _

- ** * _

+ **

**

-1.4304-

**

**

-2.6470+** +

+ + + + + + + + 4 4 4 .037233 .54289 1.0485 1.5542 2.0599 2.5655

PROB. PLOT CORR. COEFF. = .9952, ESTIMATES * INTERCEPT = -1.9527000, SLOPE = 2.2013169

27
OMNITAB 80 TEST 6 PROBABILITY PLOT INSTRUCTIONS. (3.9) AND (7.5) PAGE 15

PARETO PROBABILITY PLOT OF 500 MEASUREMENTS IN COLUMN 1 WITH PARAMETER = 2.0000000

+ + + + + +

. 1 1 + + + 3.4360+ *+

2.2194+

** * * * ** ***

** ***

**

**

**

**

1.0028+

**

* ** **

X

* X

** -.21380+ * +

-1.4304+'

-2.6470+* +

+ 1 + + + + + + 1 + + 1.0007 6.1740 11.347 16.521 21.694 26.867

PROB. PLOT CORR. COEFF. = .6910, ESTIMATES * INTERCEPT = -.72597659, SLOPE = .36949163

28
OMNITAB 80 TEST 6 PROBABILITY PLOT INSTRUCTIONS. (3.9) AND (7.5) PAGE 16

LIST OF DATA, INSTRUCTIONS AND DIAGNOSTICS

DIMENSION 501 X 3 SET TEST DATA IN COLUMN 1 -1.276 -1.218 -0.453 -0.350 0.723 0.676 -1.099 -0.314 -0.394 -0.633

-0.318 -0.799 -1.664 1.391 0.382 0.733 0.653 0.219 -0.681 1.129 -1.377-1.257 0.495-0.139-0.854 0.428-1.322-O.315-O.732-1.348

2.334 -0.337 -1.955 -0.636 -1.318 -0.433 0.545 0.428 -0.297 0.276 -1.136 0.642 3.436-1.667 0.847-1.173-0.355 0.035 0.359 0.930 0.414-0.011 0.666-1.132-0.410-1.077 0.734 1.484-0.340 0.789 -0.494 0.364 -1.237 -0.044 -0.111 -0.210 0.931 0.616 -0.377 -0.433

1.048 0.037 0.759 0.609-2.043-0.290 0.404-0.543 0.486 0.869

0.347 2.816-0.464-0.632-1.614 0.372-0.074-0.916 1.314-0.038

0.637 0.563-0.107 0.131-1.808-1.126 0.379 0.610-0.364-2.626

2.176 0.393-0.924 1.911-1.040-1.168 0.485 0.076-0.769 1.607 -1.185 -0.944 -1.604 0.185 -0.258 -0.300 -0.591 -0.545 0.018 -0.485 0.972 1.710 2.682 2.813 -1.531 -0.490 2.071 1.444 -1.092 0.478

1.210 0.294-0.248 0.719 1.103 1.090 0.212-1.185-0.338-1.134

2.647 0.777 0.450 2.247 1.151 -1.676 0.384 1.133 1.393 0.814

0.398 0.318 -0.928 2.416 -0.936 1.036 0.024 -0.560 0.203 -0.871 0.846-0.699-0.368 0.344-0.926-0.797-1.404-1.472-0.118 1.456 0.654-0.955 2.907 1.688 0.752-0.434 0.746 0.149-0.170-0.479

0.522 0.231-0.619-0.265 0.419 0.558-0.549 0.192-0.334 1.373 -1.288 -0.539 -0.824 0.244 -1.070 0.010 0.482 -0.469 -0.090 1.171 1.372 1.769 -1.057 1.646 0.481 -0.600 -0.592 0.610 -0.096 -1.375 0.854-0.535 1.607 0.428-0.615 0.331-0.336-1.152 0.533-0.833

-0.148-1.144 0.913 0.684 1.043 0.554-0.051-0.944-0.440-0.212

-1.148-1.056 0.635-0.328-1.221 0.118-2.045-1.977-1.133 0.338

0.348 0.970 -0.017 1.217 -0.974 -1.291 -0.399 -1.209 -0.248 0.480

0.284 0.458 1.307-1.625-0.629-0.504-0.056-0.131 0.048 1.879 -1.016 0.360-0.119 2.331 1.672-1.053 0.840-0.246 0.237-1.312

1.603-0.952-0.566 1.600 0.465 1.951 0.110 0.251 0.116-0.957

-0.190 1.479-0.986 1.249 1.934 0.070-1.358-1.246-0.959-1.297

-0.722 0.925 0.783 -0.402 0.619 1.826 1.272 -0.945 0.494 0.050

-1.696 1.879 0.063 0.132 0.682 0.544 -0.417 -0.666 -0.104 -0.253

-2.543 -1.333 1.987 0.668 0.360 1.927 1.183 1.211 1.765 0.35 -0.359 0.193-1.023-0.222-0.616-0.060-1.319 0.785-0.430-0.298

0.248 -0.088 -1.379 0.295 -0.115 -0.621 -0.618 0.209 0.979 0.906

-0.099 -1.376 1.047 -0.872 -2.200 -1.384 1.425 -0.812 0.748 -1.093

-0.463 -1.281 -2.514 0.675 1.145 1.083 -0.667 -0.223 -1.592 -1.278

0.503 1.434 0.290 0.397-0.837-0.973-0.120-1.594-0.996-1.244

-0.857-0.371-0.216 0.148-2.106-1.453 0.686-0.075-0.243-0.170

-0.122 1.107 -1.039 -0.636 -0.860 -0.895 -1.458 -0.539 -0.159 -0.420

1.632 0.586-0.468-0.386-0.354 0.203-1.234 2.381-0.388-0.063

2.072-1.445-0.680 0.224-0.120 1.753-0.571 1.223-0.126 0.034

-0.435 -0.375 -0.985 -0.585 -0.203 -0.556 0.024 0.126 1.250 -0.615 0.876-1.227-2.647-0.745 1.797-1.231 0.547-0.634-0.836-0.719

0.833 1.289 -0.022 -0.431 0.582 0.766 -0.574 -1.153 0.520 -1.018

-0.891 0.332-0.453-1.127 2.085-0.722-1.508 0.489-0.496-0.025

0.644-0.233-0.153 1.098 0.757-0.039-0.460 0.393 2.012 1.356 0.105-0.171-0.110-1.145 0.878-0.909-0.328 1.021-1.613 1.560 -1.192 1.770-0.003 0.369 0.052 0.647 1.029 1.526 0.237-1.328

29
OMNI TAB 80 TEST 6 PROBABILITY PLOT INSTRUCTIONS. (3.9) AND (7.5)

LIST OF DATA, INSTRUCTIONS AND DIAGNOSTICS

PAGE 17

-0.042 0.553 0.770 0.324 -0.489 -0.367 0.378 0.601 -1.996 -0.738

0.498 1.072 1.567 0.302 1.157 -0.720 1.403 0.698 -0.370 -0.551

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM TO 500.

UNIFORM PLOT OF COLUMN 1 NORMAL PLOT OF COLUMN 1 LOGISTIC PLOT OF COLUMN 1 DEXPONENTIAL PLOT OF COLUMN 1 CAUCHY PLOT OF COLUMN 1 EXPONENTIAL PLOT OF COLUMN 1 LOGNORMAL PLOT OF COLUMN 1 HALFNORMAL PLOT OF COLUMN 1 EXTREME PLOT OF COLUMN 1 EXTREME PLOT WITH PARAMETER 2 OF COLUMN

GAMMA PLOT WITH PARAMETER 2 OF COLUMN

LAMBDA PLOT WITH PARAMETER 2 OF COLUMN POISSON PLOT WITH PARAMETER 2 OF COLUMN

WE I BULL PLOT WITH PARAMETER 2 OF COLUMN PARETO PLOT WITH PARAMETER 2 OF COLUMN

NATIONAL BUREAU OF STANDARDS. WASHINGTON, D. C. 20234 OMNITAB 80 VERSION 6.00 MARCH 2, 1981

30
OMNITAB 80 TEST 7 ARITHMETIC INSTRUCTIONS. (4.1) PAGE 1 COLUMNS 1 THROUGH 5 CONTAIN AN 1 1 BY 5 ARRAY DEFINED BY THE COMMANDS GENERATE, ADD AND MULTIPLY.

COL 6 AND 7 CONTAIN ROW SUMS OF THE ARRAY PRODUCED BY THE ROWSUM COMMAND. COL 8 CONTAINS ROW SUMS BY USING ADD COMMAND. COLUMN 1 COLUMN 2 COLUMN 3 COLUMN 4 COLUMN 5 COLUMN 6 COLUMN 7 COLUMN 8

2.0000000

3.9876540

5.9753080

7.9629620 9.9506160

4.0000000

5.9876540 7.9753080

9.9629619

11.950616

8 . 0000000

23.876692 47.654922

79.334686

118.91599

6.0000000

9.9753079

13.950616 17.925924 21.901232

10.000000 27.864346

53.630229

87.297647

128.86661

30.000000

71.691654

129.18638 202.48418 291.58506

30.000000

71.691654

129.18638 202.48418 291.58506

30.000000

71.691654

129.18638 202.48418

291.58506

11.938270

13.925924

15.913578 17.901232

19.888886

13.938270

15.925924

17.913578

19.901232 21.888886

166.39883 221.78321

285.06911 356.25657 435.34555

25.876540

29.851848

33.827156 37.802464

41.777772

178.33710 235.70913

300.98269 374.15780 455.23444

396.48901 517.19603

653.70612

806.01929 974.13554

396.48900

517.19602

653.70611 806.01929

974.13553

396.48900

517.19602

653.70611 806.01929

974.13553

20.000000 22 . 000000 440.00000 42 . 000000 460.00000 984.00000 984.00000 984.00000 ***************************************************************************

COLUMNS 6 7 AND 8 SHOULD CONTAIN THE SAME VALUES. THE FOLLOWING VALUES SHOULD BE CLOSE TO OR EQUAL TO ZERO.

0. 0. •it**********************************************************************

31
OMNI TAB 80 TEST 7 ARITHMETIC INSTRUCTIONS. (4.1) PAGE 2 COLUMNS 1 THROUGH 5 CONTAIN .AN II BY 5 ARRAY DEFINED BY THE COMMANDS GENERATE. .ADD AND MULTIPLY.

COL 10 CONTAINS ROW BY ROW PRODUCT OF COLS 1 2 AND 3 USING PRODUCT COMMAND. COL 9 CONTAINS PRODUCT USING MULT COMMAND. COLUMN 1 COLUMN 2 COLUMN 3 COLUMN 10 COLUMN 9

2 .0000000 4 . 0000000 8 0000000 64 .000000 ( 34 .000000

3 .9876540 5 .9876540 23 .876692 * 5 .7009643-02 * 5 .7009643-02

5 .9753080 7 .9753080 47 .654922 * 2 .2709915-03 * 2 .2709915-03

7 .9629620 9 .9629619 79 .334686 * 6 .2939924-03 * 6 .2939924-03

9 .9506160 11 .950616 118 .91599 * 1 .4141013-04 *1 .4141013-04

11 .938270 13 ,938270 166 .39883 * 2 .7688570-04 * 2 .7688570-04

13 .925924 15 .925924 221 .78321 * 4 .9187790-04 * 4 .9187790-04

15 .913578 17 .913578 285 .06911 * 8 .1264399-04 * 8 . 1264399-04 r .901232 19 .901232 356 .25657 * 1 .2691874-05 *

1 .2691874-05

19 .888886 21 .888886 435 .34555 * 1 .8952575-05 *1 .8952575-05

20 .000000 22 . 000000 440 .00000 * 1 .9360000-05 *1 .9360000-05 ***************************************************************************

COLUMNS 9 .AND 10 SHOULD CONTAIN THE S.AME VALUES. THE FOLLOWING VALUE SHOUTD BE CLOSE TO OR EQUAL TO ZERO.

0. ***************************************************************************

32
OMNITAB 80 TEST 7 ARITHMETIC INSTRUCTIONS. (4.1) PAGE 3

LIST OF DATA, INSTRUCTIONS AND DIAGNOSTICS

GENERATE NOS. STARTING WITH 2. IN STEPS OF 1.987654 THRU 20.0 STORE IN COL 1

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM TO 11.

ADD COLUMN 1 TO THE VALUE 2.0 AND STORE RESULTS IN COLUMN 2 MULTIPLY COLUMN 1 BY COLUMN 2 AND STORE PRODUCT IN COLUMN 3 ADD COLUMN 1 TO VALUES IN COLUMN 2 AND STORE SUM IN COL 4 ADD COL 1 TO COL 3 STORE IN COL 5 ROWSUM THE ENTIRE ARRAY ROW BY ROW STORE SUM IN COL 6 ROWSUM COLUMNS 1 THROUGH 5 AND STORE RESULTS IN COLUMN 7 ADD COLUMN 1 TO COL 2 STORE IN COL 8 ADD COLUMN 8 TO COL 3 STORE IN COL 8 ADD COLUMN 8 TO COL 4 STORE IN COL 8 ADD COLUMN 8 TO COL 5 STORE IN COL 8 TITLE1C0LUMNS 1 THROUGH 5 CONTAIN AN 11 BY 5 ARRAY DEFINED BY THE TITLE2C0MMANDS GENERATE, ADD AND MULTIPLY. TITLE3C0L 6 AND 7 CONTAIN ROW SUMS OF THE ARRAY PRODUCED BY THE RO TITLE4WSUM COMMAND. COL 8 CONTAINS ROW SUMS BY USING ADD COMMAND. PRINT 1***8 SUBTRACT COL 6 FROM COL 7 STORE IN COLUMN 9 SUBTRACT COL 8 FROM COL 7 STORE IN COLUMN 10 SPACE

NOTE ***************************************************************************

SPACE

NOTE COLUMNS 6 7 AND 8 SHOULD CONTAIN THE SAME VALUES. NOTE THE FOLLOWING VALUES SHOULD BE CLOSE TO OR EQUAL TO ZERO. SPACE ABRIDGE ROW 1 OF COLUMNS 9 AND 10 SPACE NOTE ***************************************************************************

PRODUCT OF COLUMNS 1 2 AND 3 ROW BY ROW AND STORE IN COL 10 MULT COL 1 BY COL 2 STORE IN COL 9 MULT COL 9 BY COL 3 STORE IN COL 9 TITLE3C0L 10 CONTAINS ROW BY ROW PRODUCT OF COLS 1 2 AND 3 USING TITLE4PR0DUCT COMMAND. COL 9 CONTAINS PRODUCT USING MULT COMMAND. SUBTRACT COL 9 FROM COLUMN 10 AND STORE COLUMN 1

1

SUM COL 11 STORE IN COLUMN 12 PRINT COLUMNS 1***3 10 9 SPACE NOTE ***************************************************************************

SPACE NOTE COLUMNS 9 AND 10 SHOULD CONTAIN THE SAME VALUES. NOTE THE FOLLOWING VALUE SHOULD BE CLOSE TO OR EQUAL TO ZERO. SPACE ABRIDGE ROW 1 OF COLUMN 12 SPACE

NOTE ***************************************************************************

NATIONAL BUREAU OF STANDARDS. WASHINGTON, D. C. 20234 OMNITAB 80 VERSION 6.00 MARCH 2, 1981

33
OMNI TAB 80 TEST 8 CHANGE INSTRUCTION. (4.2) COLUMNS 1 THROUGH 8 WERE DEFINED BY THE READ COMMAND. PAGE 1

COLUMN- COLUMN COLUMN COLUMN COLUMN COLUMN COLUMN COLUMN

1 . 0000000 2.0000000 3.0000000 4 . OOOOOOO 5.0000000 6.0000000 7.0000000 8.0000000

9 . 0000000 10.000000 1 1 . 000000 12.000000 13.000000 14.000000 15.000000 .16000000 20.000000 30 . 000000 40 . 000000 0. 0. 0. 0. 0.

THE FOLLOWING VALUES WERE PRINTED BY THE COMMAND NPRINT. THE SIGNS OF THE VALUES IN COLUMNS 2. 3 .AND 8 HAM BEEN CHANGED.

1.0000000 -2 . OOOOOOO -3 . OOOOOOO 4.0000000 5.0000000 6.0000000 7.0000000 -8.0000000

9 . OOOOOOO -10.000000 -11.000000 12.000000 13.000000 14.000000 15.000000 -.16000000

. 000000 -30.000000 -40 . 000000 0. 0. 0. 0. 0.

***************************************************************************

THE FOLLOWING VALUE SHOULD BE CLOSE TO OR EQUAL TO ZERO.

0. ***************************************************************************

34
OMNITAB 80 TEST 8 CHANGE INSTRUCTION. (4.2) PAGE 2

LIST OF DATA, INSTRUCTIONS AND DIAGNOSTICS

READ THE FOLLOWING VALUES INTO COLUMNS 1***8

1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. .16

20. 30 40

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM TO 3.

TITLE1C0LUMNS 1 THROUGH 8 WERE DEFINED BY THE READ COMMAND. PRINT COLUMNS 1***8 ROWSUM COLUMNS 2 3 AND 8 AND STORE IN COLUMN 9 CHANGE THE SIGNS OF THE VALUES IN COLUMNS 2 3 AND 8 ROWSUM COLUMNS 2 3 AND 8 AND STORE IN COLUMN 10 SPACE

NOTE THE FOLLOWING VALUES WERE PRINTED BY THE COMMAND NPRINT. NOTE THE SIGNS OF THE VALUES IN COLUMNS 2, 3 AND 8 HAVE BEEN CHANGED. SPACE NPRINT COLUMNS 1***8 WITH NO HEADINGS

ADD COLUMN 9 TO COLUMN 10 STORE IN COLUMN 11 SPACE 2 NOTE ***************************************************************************

SPACE NOTE THE FOLLOWING VALUE SHOULD BE CLOSE TO OR EQUAL TO ZERO. SPACE ABRIDGE ROW 1 OF COLUMN 11 SPACE

NOTE ************************************************"*************************

NATIONAL BUREAU OF STANDARDS. WASHINGTON, D. C. 20234 OMNITAB 80 VERSION 6.00 MARCH 2, 1981

35
OMNI TAB 80 TEST 9 MATHEMATICAL FUNCTIONS. (4.3) PAGE 1

COL 1 COL 2 COL 3 COL 4 COL 5 X EXP(X) EXP(-X) NATURAL LOG(X) LOG BASE 10

.25000000 1.2840254 . 778,80079 -1.3862944 -.60205999

. 50000000 1.6487213 .60653066 -.69314718 -.30103000

.75000000 2.1170000 .47236655 -.28768207 -.12493874

1 . 0000000 2.7182818 .36787944 0. 0. 1.2500000 3.4903429 .28650480 .22314355 .096910013

1 . 5000000 4.4816891 .22313016 .40546511 .17609126

1 . 7500000 5.7546027 .17377394 .55961579 .24303805

2 . 0000000 7.3890561 .13533528 .69314718 .30103000 2.2500000 9.4877359 .10539922 .81093021 .35218252

2 . 5000000 12.182494 .082084998 .91629073 .39794001

2 . 7500000 15.642632 .063927861 1.0116009 .43933269

3 . 0000000 20.085537 .049787068 1.0986123 .47712126

3 . 2500000 25.790340 .038774208 1.1786550 .51188336

3 . 5000000 33.115452 .030197383 1.2527630 . 54406805 3.7500000 42.521082 .023517746 1.3217558 .57403127

4.0000000 54.598150 .018315639 1.3862944 .60205999

COL 2 COL 6 COL 7 EXP(.X) INTEGRAL PART OF EXP(X) FRACTIONAL PART OF EXP(X)

1.2840254 1 . 0000000 .28402542

1.6487213 1 . 0000000 .64872128 2.1170000 2 . 0000000 .11700001 2.7182818 2 . 0000000 .71828184 3.4903429 3.0000000 .49034294

4.4816891 4.0000000 .48168910 5.7546027 5.0000000 .75460267 7.3890561 7.0000000 .38905609 9.4877359 9 . 0000000 .48773587 12.182494 12.000000 .18249393

15.642632 15.000000 .64263189 20.085537 20.000000 .085536957 25.790340 25 . 000000 .79033995 33.115452 33.000000 J 1545181 42.521082 42 . 000000 .52108192

54.598150 54.000000 .59815025

***************************************************************************

THE FOLLOWING VALUES MUST BE EQUAL TO OR NEAR ZERO.

0. 0. 0. ***************************************************************************

36
OMNITAB 80 TEST 9 MATHEMATICAL FUNCTIONS. (4.3) PAGE 2

LIST OF DATA, INSTRUCTIONS AND DIAGNOSTICS

GENERATE X FROM .25 IN INTERVALS OF .25 THRU 4. IN COL 1

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM TO 16.

EXP OF COL 1 STORE IN COL 2 NEGEXPONENT OF COL 1 STORE IN COL 3 DIVIDE COL 2 BY COL 3 STORE IN COL 21 LOGE COL 1 STORE IN COL 4

LOGTEN COL 1 STORE IN COL 5 ANTILOG OF COL 5 STORE IN COL 22 INTEGER PART OF COL 2 STORE IN COL 6 FRACTIONAL PART OF COL 2 STORE IN COL 7 SUBTRACT COL 6 FROM COL 2 MULT BY -1.0 ADD TO COL 7 STORE IN COL 23 NEW PAGE

NOTE COL 1 COL 2 COL 3 COL 4 COL 5 NOTE X EXP(X) EXP(-X) NATURAL LOG(X) LOG BASE 10 SPACE NPRINT COLS 1 *** 5 SPACE 2 NOTE COL 2 COL 6 COL 7 NOTE EXP(X) INTEGRAL PART FRACTIONAL PART

NOTE OF EXP(X) OF EXP(X) SPACE NPRINT COLS 2 6 7 DEFINE 0.0 IN COL 17 SQUARE COL 2 STORE IN 18 DEFINE COL 1 INTO COL 19 ADD 1.0 TO 0.0 STORE IN COL 15 1/ SUBTRACT COL 21 FROM COL 18 STORE IN COL 21 3/ ABS COL 21 STORE IN 21 4/IFNE 0. IS NOT=TO ANY VAL IN 21 OF TOL =l.E-5 DO NOT EXEC. REST OF STORED COM.

5/ INCREMENT INSTRUCTION 1 BY 1 1 AND 1 6/ INCREMENT INSTRUCTION 3 BY 1 AND 1 7/ INCREMENT INSTRUCTION 4 BY 0.0 1 AND 0.0

7.5/ IFEQ ANY VALUE IN COL 15 IS = TO 2. TERMINATE FOLLOWING REPEAT INST.

8/ REPEAT INSTRUCTIONS 1 THRU 7.5, 2 TIMES

10/RESTORE INSTRUCTION 1 TO 23 17 23

11/ ADD 1.0 TO COL 15 STORE IN 15 REPEAT INSTRUCTIONS 8 THRU 11,2 TIMES

SPACE 2 NOTE ***************************************************************************

SPACE

NOTE THE FOLLOWING VALUES MUST BE EQUAL TO OR NEAR ZERO. SPACE ABRIDGE ROW 1 COL 21 22 23 SPACE

NOTE ***************************************************************************

NATIONAL BUREAU OF STANDARDS. WASHINGTON, D. C. 20234 ' OMNITAB 80 VERSION 6.00 MARCH 2, 1981

37
OMNITAB 80 TEST 10 SINE, COSINE, TANGENT AND COTANGENT INSTRUCTIONS. (4.4) PAGE 1

COL 1 X

-1.0000000

- . 80000000 -.59999999

-.40000000 -.20000000

.20000000

. 40000000

.59999999

. 80000000

1.0000000

COL 2 SIN X

.84147099

.71735609

. 56464247

.38941834

.19866933

.19866933 .38941834

.56464247

.71735609

.84147099

COL 3 COL 4 COL 5 COS X TAN X COT X

54030231 -1.5574077 _ .64209261 69670671 -1.0296385 - .97121461 82533562 -.68413679 -1 .4616960 92106099 -.42279322 -2 .3652224 98006658 -.20271003 -4 .9331549

98006658 .20271003 4 .9331549 92106099 .42279322 2 .3652224 82533562 .68413679 1 .4616960

69670671 1.0296385 .97121461 54030231 1.5574077 .64209261

***************************************************************************

(SIN"(X))**2-(C0S(X))**2=1.0.

TAN(X)-(SIN(X)/COS(X))=0.

COT(X)-(COS(X)/SIN(X))=0.

THE FOLLOWING VALUES MUST BE EQUAL TO OR NEAR 1.0. 0.0 AND 0.0.

1 . OOOOOGO 0. 0. ***************************************************************************

38
OMNITAB 80 TEST 10 SINE, COSINE, TANGENT AND COTANGENT INSTRUCTIONS. (4.4) PAGE

COL 1 X COL 6 ARCS IN X COL 7 ARCCOS X COL 8 ARCTAN X COL 9 ARCCOT X

1.0000000

- . 80000000 -.59999999 -.40000000

-.20000000

1.0000001

. 80000004

.59999999

. 40000000

. 20000000

1 . 0000000

. 80000000

.59999999

.40000001

. 20000002

1 . 0000000

. 80000000

. 59999999

. 40000000

. 20000000

1 . 0000000

. 80000000

. 59999999

.40000000

. 20000000

. 20000000

. 40000000

. 59999999

. 80000000

1 . 0000000

. 20000000

.40000000

. 59999999

.79999995 .99999997

. 20000002

.40000001

. 59999999

. 80000000

1 . 0000000

. 20000000

. 40000000

. 59999999

. 80000000

1 . 0000000

. 20000000

.40000000

. 59999999

. 80000000

1 . 0000000

***************************************************************************

THE FOLLOWING VALUES ARE NUMBER OF SIGNIFICANT DIGITS FOR THE

ABSOLUTE VALUES OF X, ARCSIN, ARCCOS, ARCTAN, AND ARCCOT.

(THE VALUE FOR NUMBER OF SIGNIFICANT DIGITS IS 8.0 FOR NBS COMPUTER.)

8.0000000 7.7129689 7.7500554 7.9811922 7.9811922 ***************************************************************************

39
OMNITAB 80 TEST 10 SINE, COSINE, TANGENT AND COTANGENT INSTRUCTIONS. (4.4)

HOR- X .VER- SINX (.), COSX (*),

.99957-*

PAGE 3

-+.+

.79382-

.58806-

.38231-

17656-

.02920-

1.3

X

*

,

i.6

40
OMNITAB 80 TEST 10 SINE, COSINE, TANGENT AND COTANGENT INSTRUCTIONS. (4.4) PAGE 4

HOR- X VER- SINX (.) COSX (*) POINTS PLOTTED 20, POINTS NOT PLOTTED'- OUT OF BOUND \2

+ + + + + + + + + + + .99500 + * +

.81597 +

s -

I - N - .63694 + X -

A _ N - D -

C _-

S - .45790 +

.27887 +

.099833+ . +

+ + + + + + + + + + + 0. .2 .4 .6 .8 1.

41
OMNITAB 80 TEST 10 SINE, COSINE, TANGENT AND COTANGENT INSTRUCTIONS. (4.4) PAGE 5

HOR- X VER- TANX (.), COTX (*), POINTS PLOTTED 30, POINTS NOT PLOTTED - OUT OF BOUND 2

14.20-

11.36-

8.52-

5. 68-

2.84-

.OOX.

.1 .56667 1.0333

X

*X

1.5

42
OMNITAB 80 TEST 10 SINE, COSINE, TANGENT AND COTANGENT INSTRUCTIONS. (4.4) PAGE

LIST OF DATA, INSTRUCTIONS AND DIAGNOSTICS

LABEL X,SINX,COSX,TANX,COTX

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION -

(X) IS IN COL (1), (SINX) IS IN COL (2) (COSX) IS IN COL (3), (TANX) IS IN COL (4) (COTX) IS IN COL (5)

SET FOLLOWING DATA IN X -1.,-. 8,-. 6, -.4, -.2, .2, .4, .6, .8,1.

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM TO 10.

SIN OF X STORE RESULTS IN COL 2 COS OF X STORE RESULTS IN COL 3 TAN OF X STORE RESULTS IN COL 4 COT OF X STORE RESULTS IN COL 5 AS IN OF SINX STORE RESULTS IN COL 6 ACOS OF COSX STORE RESULTS IN COL 7 ATAN OF TANX STORE RESULTS IN COL 8 ACOT OF COTX STORE RESULTS IN COL 9 EVALUATE 12 = SINX **2. + COSX **2. EVALUATE 13 = TANX - ( SINX / COSX ) EVALUATE 14 = COTX - ( COSX / SINX ) AVERAGE COL 12 STORE IN COL 12 AVERAGE COL 13 STORE IN COL 13 AVERAGE COL 14 STORE IN COL 14 NEW PAGE NOTE COL 1 COL 2 COL 3 COL 4 COL 5 NOTE X SIN X COS X TAN X COT X SPACE NPRINT COLS 1 *** 5 SPACE 2 NOTE ***************************************************************************

SPACE NOTE (SIN(X))**2+(COS(X))**2=1.0.

NOTE TAN(X)-(SIN(X)/COS(X))=0.

NOTE COT(X)-(COS(X)/SIN(X))=0.

NOTE THE FOLLOWING VALUES MUST BE EQUAL TO OR NEAR 1.0, 0.0 AND 0.0. SPACE ABRIDGE ROW 1 COLS 12 13 14 SPACE NOTE ***************************************************************************

ADD COL 1 TO 0.0 STORE IN COL 5

1 /ABSOLUTE COL 5 STORE IN 5 2/ACCURACY OF COL 5 VS COL 5 STORE IN COL 10 3/AVERAGE COL 10 STORE IN COL 10 4/INCREMENT INSTRUCTION 1 BY 1 1 5/INCREMENT INSTRUCTION 2 BY 1 1

43
OMNITAB 80 TEST 10 SINE, COSINE, TANGENT AND COTANGENT INSTRUCTIONS. (4.4) PAGE

LIST OF DATA, INSTRUCTIONS AND DIAGNOSTICS

6/INCREMENT INSTRUCTION 3 BY 1 1 REPEAT INSTRUCTIONS 1 THRU 6, 5 TIMES

NEW PAGE NOTE COL 1 COL 6 COL 7 COL 8 COL 9 NOTE X ARCS IN X ARCCOS X ARCTAN X ARCCOT X SPACE NPRINT COLS 1 6***9 SPACE 2 NOTE ***************************************************************************

NOTE NOTE THE FOLLOWING VALUES ARE NUMBER OF SIGNIFICANT DIGITS FOR THE NOTE ABSOLUTE VALUES OF X, ARCSIN, ARCCOS, ARCTAN, AND ARCCOT. NOTE (THE VALUE FOR NUMBER OF SIGNIFICANT DIGITS IS 8.0 FOR NBS COMPUTER.)

SPACE ABRIDGE ROW 1 COLS 10***14 SPACE NOTE ***************************************************************************

GENERATE FROM 0.1 IN STEPS OF .1 THRU 1.6 IN X

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM 10 TO 16.

SIN OF COL 1 STORE IN COL 2 COS OF COL 1 STORE IN COL 3 TAN OF COL 1 STORE IN COL 4 COT OF COL 1 STORE IN COL 5 TITLEY SIN X AND COS X TITLEX X PLOT SI NX AND COSX VS. X NEW PAGE NPLOT SINX AND COSX VS. X HORIZONTAL LIMITS 0.0 THRU 1.0 TITLEX X TITLEY TAN X AND COT X PAGE PLOT COLS 4 AND 5 (TAN AND COT) Y FROM 0.0 TO 14.2 VS. COL 1 FROM .1 TO 1.5

NATIONAL BUREAU OF STANDARDS. WASHINGTON, D. C. 20234 OMNITAB 80 VERSION 6.00 MARCH 2, 1981

44
OMNITAB 80 TEST 11 TRIGONOMETRIC FUNCTIONS. (4.4) EVALUATE SINE, COSINE, TANGENT, AND COTANGENT OF X, X IN DEGREES. PAGE 1

COL 1 COL 2 X DEGREES SIN X

5.0000000 .087155742 15.000000 .25881904 45.000000 .70710678 75.000000 .96592582 125.00000 .81915206

175.00000 .087155786 200.00000 -.34202011 200.00000 -.34202011 300.00000 -.86602545 350.00000 -.17364826

COL 3 COL 4 COL 5 COS X TAN X COT X

99619470 .087488662 11 .430052 96592583 .26794919 3 . 7320509 70710678 . 99999999 1 .0000000 25881907 3.7320505 .26794921 57357642 -1.4281481 - . 70020750

99619470 -.087488707 -11 . 430047

93969264 .36397019 2 .7474778 93969264 .36397019 2 .7474778 49999992 -1.7320512 _ .57735014 98480774 -.17632707 -5 .6712789

FOLLOWING COLUMNS SHOULD CONTAIN VALUES EQUAL OR CLOSE TO 1.0, ACCORDING TO RELATIONAL EXPRESSIONS OF TRIGNOMETRIC FUNCTIONS.

COL 14 SIN**2+COS**2

. 99999999

99999999

.99999999 99999999

1.0000000

1.0000000

1.0000000 1.0000000

.99999999 .99999999

COL 15 COL 16 SEC**2-TAN**2 COSEC**2-COT**2

1.0000000

1 . 0000000

1.0000000

1.0000001 1.0000000

1 . 0000000

1 . 0000000

1 . 0000000

1.0000001 1.0000000

1.0000019 1.0000004

1.0000000

1 . 0000000

1.0000000

1 . 0000000

1.0000000

1 . 0000000

1.0000000

1 . 0000005

**************************************************************************

FOLLOWING VALUES MUST BE EQUAL TO OR NEAR ONE.

1 . 0000000 1 . 0000000 1 . 0000003 it*******************.***************************************************

45
OMNITAB 80 TEST 11 TRIGONOMETRIC FUNCTIONS. (4.4) PAGE EVALUATE IN DEGREES THE ARCS IN, ARCCOS, ARCTAN, AND ARCCOT OF X.

COL 1 COL 2 COL 3 COL 4 COL 5 X ARCS IN X ARCCOS X ARCTAN X .ARCCOT X

.1000 5.7392 84.2608 5.7106 84.2894

.2000 11.5370 78.4630 11.3099 78.6901

.3000 17.4576 72.5424 16.6992 73.3008

.4000 23.5782 66.4218 21.8014 68.1986

.5000 30.0000 60.0000 26.5651 63.4349

.6000 36.8699 53.1301 30.9638 59.0362

.7000 44.4270 45.5730 34.9920 55.0080

.8000 53.1301 36.8699 38.6598 51.3402

.9000 64.1581 25.8419 41.9872 48.0128

1.0000 90.0000 .0000 45 . 0000 45 . 0000

THE VALUES IN THE FOLLOWING COLS SHOULD BE EQUAL TO OR NEAR 90.

COL 6 COL 7 ARCSIN-ARCCOS ARCTAN-ARCCOT

90 . 0000 90 . 0000 90.0000 90.0000 90.0000 90.0000

90.0000 90.0000

90.0000 90.0000

90.0000 90.0000

90.0000 90.0000

90.0000 90.0000

90.0000 90.0000

90 . 0000 90 . 0000

**************************************************************************

THE FOLLOWING VALUES MUST BE EQUAL TO OR NEAR 90.

90.0000 90.0000 **************************************************************************

46
OMNITAB 80 TEST 11 TRIGONOMETRIC FUNCTIONS. (4.4) PAGE 3

LIST OF DATA, INSTRUCTIONS AND DIAGNOSTICS

SET FOLLOWING DATA IN COL 1 5,15,45,75,125,175,200,200,300,350

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM TO 10.

SIND OF COL 1 STORE RESULTS IN COL 2 COSD OF COL 1 STORE RESULTS IN COL 3 TAND OF COL 1 STORE RESULTS IN COL 4 COTD OF COL 1 STORE RESULTS IN COL 5 TITLE1 EVALUATE SINE, COSINE, TANGENT, AND COTANGENT OF X, X IN D TITLE2EGREES.

NEW PAGE

NOTE COL 1 COL 2 COL 3 COL 4 COL 5 NOTE X DEGREES SIN X COS X TAN X COT X SPACE NPRINT COLS 1***5

1 /SQUARE COL 2 STORE RESULT IN COL 10 2/INCREMENT INSTRUCTION 1 BY 1 AND 1 REPEAT INSTRUCTIONS 1 THRU 2 4 TIMES

ADD SIND(X) SQUARED IN COL 10 TO COSD(X) SQUARED IN COL 11 AND STORE IN 14 RECIPROCAL OF COL 11 STORE IN COL 15 RECIPROCAL OF COL 10 STORE IN COL 16 SUBTRACT COL 12 FROM COL 15 STORE IN COL 15 SUBTRACT COL 13 FROM COL 16 STORE IN COL 16 SPACE 2 NOTE FOLLOWING COLUMNS SHOULD CONTAIN VALUES EQUAL OR CLOSE TO 1.0, NOTE ACCORDING TO RELATIONAL EXPRESSIONS OF TRIGNOMETRIC FUNCTIONS. SPACE NOTE COL 14 COL 15 COL 16 NOTE SIN**2+C0S**2 SEC**2-TAN**2 COSEC**2-COT**2

SPACE NPRINT COLS 14 15 16 AVERAGE COL 14 STORE IN COL 14 AVERAGE COL 15 STORE IN COL 15 AVERAGE COL 16 STORE IN COL 16 SPACE 2 NOTE **************************************************************************

SPACE

NOTE FOLLOWING VALUES MUST BE EQUAL TO OR NEAR ONE. SPACE ABRIDGE ROW 1 COLS 14 15 16 SPACE

NOTE **************************************************************************

RESET NRMAX

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM 10 TO 0.

GENERATE NOS FROM .1 IN STEPS OF .1 THRU 1.0 IN COL 1

47
OMNITAB 80 TEST 11 TRIGONOMETRIC FUNCTIONS. (4.4) PAGE 4

LIST OF DATA. INSTRUCTIONS .AND DIAGNOSTICS

* INFORMATIVE DIAGNOSTIC FOR THE ABOM INSTRUCTION - NRMAX HAS BEEN RESET FROM TO 10.

ASIND OF X IN COL 1 STORE IN COL 2 ACOSD OF X IN COL 1 STORE IN COL 3 ATAND OF X IN COL 1 STORE IN COL 4 ACOTD OF X IN COL 1 STORE IN COL 5 TITLE1 EVALUATE IN DEGREES THE ARCSIN. ARCCOS, ARCT.AN. AND ARCCOT

TITLE2 OF X. NEW PAGE FIXED 4 NOTE COL 1 COL 2 COL 3 COL 4 COL 5 NOTE X ARCSIN X ARCCOS X ARCTAN X ARCCOT X SPACE NPRINT COLS 1***5

.ADD COL 2 TO COL 3 STORE RESULTS IN COL 6 ADD COL 4 TO COL 5 STORE RESULTS IN COL 7 SPACE 2 NOTE THE VALUES IN THE FOLLOWING COLS SHOULD BE EQUAL TO OR NEAR 90. SPACE NOTE COL 6 COL 7 NOTE ARCSIN-ARCCOS ARCTAN-ARCCOT

SPACE NPRINT COL 6 AND" 7 AVERAGE COL 6 STORE IN COL 6 AVERAGE COL 7 STORE IN COL 7 SPACE 2 \0j£ #*************#**********************************»**« »** ****»*****»**»

SPACE NOTE THE FOLLOWING VALUES MUST BE EQUAL TO OR NEAR 90. SPACE ABRIDGE ROW 1 COLS 6 7 SPACE

\ QJ £ **************************************************************************

NATIONAL BUREAU OF STANDARDS. WASHINGTON. D. C. 20234 OMNITAB 80 VERSION 6.00 MARCH 2, 1981

48
OMNITAB 80 TEST 12 HYPERBOLIC FUNCTIONS. (4.4) PAGE

COL 1 X COL 2 SINH X COL 3 COSH X COL 4 TANH X COL 5 COTH X

1

1

25000000

50000000 75000000 0000000

2500000

1

1

25261232

52109530

82231672

1752012 6019191

1.0314131 1.1276260

1.2946833

1 . 5430806

1.8884239

.24491866 .46211716

.63514895

.76159415 .84828364

4

2

1

1

1

0829881

1639534 5744338

3130353

1788510

1

12

2

2

5000000

7500000 0000000

2500000

5000000

2

2

34

6

1292794 7904143 6268604

6911682 0502044

2.3524096

2.9641883

3.7621957 4.7965675 6.1322894

.90514825 .94137554

.96402758

.97802611 .98661430

1

1

1

1

1

1047914 0622753 0373147 0224676

0135673

2

33

33

7500000 0000000

2500000

5000000 7500000

710

1216

21

7893519

017875

875783

542627 248782

7.8532798

10.067662

12.914557 16.572824 21.272300

.99185973

.99505475

.99699763 .99817790

.99889445

1

1

1

1

1

0082071 0049698

0030114 0018254

0011068

4

44

4

5

0000000

2500000

5000000 7500000 0000000

27

3545

5774

289917 045574

003011 787816

203209

27.308233

35.059838 45.014120

57.796468

74.209948

.99932930

.99959315

.99975321

.99985031

.99990921

1

1

1

1

1

0006711 0004070

0002468

.0001497 0000908

****************************** *********************************************

(C0SH(X))**2 - (SINH(X))**2=1

(TANH(X))**2 + (1/(C0SH(X))**2)=1

(C0TH(X))**2 - (1/(SINH(X))**2)=1 THE FOLLOWING VALUES MUST BE EQUAL TO OR NEAR ONE.

1 . 0000054 . 0000000 .99999995 J**************************************************************************

49
OMNITAB 80 TEST 12 HYPERBOLIC FUNCTIONS. (4.4) PAGE

COL 1 COL 8 COL 9 COL 10 COL 11 X ARCSINH X ARCCOSH X ARCTANH X ARCCOTH X

.25000000 . 24999999 .24999995 . 24999999 .25000000 .50000000 .49999999 .49999999 .49999999 . 50000000

.75000000 . 74999999 .74999999 .74999999 .74999999 1.0000000 .99999998 .99999999 .99999998 1.0000000 1.2500000 1.2500000 1 . 2500000 1 . 2500000 1 . 2500000

1.5000000 1.5000000 1.5000000 1 . 5000000 1.5000000 1.7500000 1 . 7500000 1 . 7500000 1 . 7500000 1.7500001 2.0000000 2.0000000 2.0000000 2.0000001 2.0000001 2.2500000 2.2500000 2.2500000 2.2499998 2.2500000 2.5000000 2.5000000 2 . 5000000 2.5000001 2 . 5000004

2.7500000 2.7500000 2.7500000 2.7499997 2.7500009 3.0000000 3.0000000 3 . 0000000 2.9999998 3 . 0000003 3.2500000 3.2500000 3.2500000 3.2499982 3.2500001 3.5000000 3.5000000 3 . 5000000 3 . 5000009 3.5000018 3.7500000 3.75OOOO0 3.7500000 3 . 7499979 3.7500054

4.0000000 4.0000000 4.0000000 3.9999993 4.0000015 4.2500000 4.2500000 4.2500000 4.2499909 4.2500113 4.5000000 4.5000000 4.5000000 4.4999921 4.5000250

4.7500000 4.7500000 4.7500000 4.7499846 4.7500097

5.0000000 4.9999999 5 . 0000000 5.0000163 5.0000617

••••••••••••a**************************************************************

THE FOLLOWING VALUES MUST BE EQUAL TO OR NEAR ZERO.

•-1 .7881393-08 '-9.8720192-09 *-l .0196119-06 * 5.9159472-06 ••to**********************************************************************

50
OMNITAB 80 TEST 12 HYPERBOLIC FUNCTIONS. (4.4) PAGE 3

LIST OF DATA, INSTRUCTIONS AND DIAGNOSTICS

GENERATE X STARTING WITH .25 IN STEPS OF .25 UP TO AND INCL 5. INTO COL 1

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM TO 20.

SINH OF X IN COL 1 STORE RESULTS IN COL 2 COSH OF X IN COL 1 STORE RESULTS IN COL 3 TANH OF X IN COL 1 STORE RESULTS IN COL 4 COTH OF X IN COL 1 STORE RESULTS IN COL 5 1/ SQUARE COL 2 STORE IN COL 6 2/ INCREMENT 1 BY 1 1 REPEAT STATEMENTS 1 AND 2 4 TIMES

SUBTRACT COL 6 FROM COL 7 STORE IN 10 RECIPROCAL OF COL 7 MULT BY 1.0 ADD TO 8 AND STORE IN 11 RECIPROCAL OF COL 6 MULT BY -1.0 ADD TO 9 AND STORE IN 12 AVERAGE COL 10 STORE IN 10 AVERAGE COL 11 STORE IN 11 AVERAGE COL 12 STORE IN 12 NEW PAGE

NOTE COL 1 COL 2 COL 3 COL 4 COL 5 NOTE X SINH X COSH X TANH X COTH X SPACE NPRINT COLS 1***5 SPACE 2 NOTE ***************************************************************************

SPACE

NOTE (C0SH(X))**2 - (SINH(X))**2=1 NOTE (TANH(X))**2 + (1/(C0SH(X))**2)=1 NOTE (C0TH(X))**2 - (1/(SINH(X))**2)=1

NOTE THE FOLLOWING VALUES MUST BE EQUAL TO OR NEAR ONE. SPACE ABRIDGE ROW 1 COLS 10 11 12 SPACE NOTE ***************************************************************************

ASINH OF COL 2 STORE RESULTS IN COL 8 ACOSH OF COL 3 STORE RESULTS IN COL 9 ATANH OF COL 4 STORE RESULTS IN COL 10 ACOTH OF COL 5 STORE RESULTS IN COL 11 NEW PAGE

NOTE COL 1 COL 8 COL 9 COL 10 COL 11 NOTE X ARCSINH X ARCCOSH X ARCTANH X ARCCOTH X SPACE NPRINT COLS 1 8***11 SPACE 2

1/ SUBTRACT COL 1 FROM COL 8 STORE RESULTS IN 8 2/ AVERAGE COL 8 STORE IN 8 3/INCREMENT INSTRUCTION 1 BY 1 1 4/INCREMENT INSTRUCTION 2 BY 1 1 PERFORM INSTRUCTIONS 1 THRU 4, 4 TIMES

NOTE ***************************************************************************

51
OMNI TAB 80 TEST 12 HYPERBOLIC FUNCTIONS. (4.4) PAGE 4

LIST OF DATA, INSTRUCTIONS AND DIAGNOSTICS

SPACE

NOTE THE FOLLOWING VALUES MUST BE EQUAL TO OR NEAR ZERO. SPACE ABRIDGE ROW 1 OF COLS 8***11 SPACE

NATIONAL BUREAU OF STANDARDS. WASHINGTON, D. C. 20234 OMNITAB 80 VERSION 6.00 MARCH 2, 1981

52
OMNITAB 80 TEST 13 ROUND INSTRUCTION. (4.7) NUMBER OF SIGNIFICANT DIGITS PER COLUMN.

8 7 6 5 COLUMN 21 COLUMN 22 COLUMN 23 COLUMN 24 4 COLUMN 25

PAGE 1

3 COLUMN 26

2 COLUMN 27

1 COLUMN 28

72.444443 6.4748596

1.6718015 20.000000

5.2533334

72.444440

6.4748600

1.6718020 20.000000

5.2533330

72 . 444400 6.4748600

1.6718000 20.000000

5.2533300

72.444000

6.4749000

1.6718000 20.000000

5.2533000

72 . 440000

6.4750000

1 . 6720000 20.000000

5.2530000

72.400000 6.4800000

1 . 6700000 20.000000

5.2500000

72 . 000000

6.5000000

1 . 7000000 20.000000

5 . 2000000

70.000000

6.0000000

2 . 0000000

20.000000

5 . 0000000

41.923807

9.0262909 68.147674

-.82094830

.42543463

41.923810

9.0262910

68.147670 -.82094830

.42543460

41.923800

9.0262901 68.147700

- . 82094800

.42543500

41.924000

9.0263000

68.148000

- . 82095000

.42544000

41.920000

9 . 0260000

68.150000

-.82100000

.42540000

41.900000

9 . 0300000

68 . 200000 -.82100000

.42500000

42 . 000000 9.0000000

68 . 000000 -.82000000

. 42000000

40.000000

9 . 0000000

70.000000

- . 80000000

. 40000000

10.000000

.13563949 1.9525860

* 1.0760000-03

* 7.7772000-04

10.000000

.13563950 1.9525860 1.0760000+03 7.7772000+04

10.000000

.13564000 1.9525900

' 1.0760000+03

' 7.7772000+04

10.000000

.13564000 1.9526000

' 1.0760000+03

' 7.7772000+04

10.000000

.13560000 1.9530000 1.0760000+03

' 7.7770000+04

10.000000

.13600000 1.9500000

1 1.0800000+03

' 7.7800000+04

10.000000

. 14000000 2.0000000

1 . 1000000+03

10.000000

. 10000000 2.0000000

' 1.0000000+03 7.8000000-04 * 8.0000000+04

NUMBER OF SIGNIFICANT DIGITS PER COLUMN.

72.444443 6.4748596

1.6718015 20.000000

5.2533334

72 . 444440

6.4748600

1.6718020 20.000000

5.2533330

72 . 444400 6.4748600

1.6718000 20.000000

5.2533300

72 . 444000

6.4749000

1.6718000 20.000000

5.2533000

72 . 440000

6.4750000

1 . 6720000 20.000000

5.2530000

72.400000

6.4700000

1 . 6700000 20.000000

5.2500000

72 . 000000

6.5000000

1 . 7000000 20.000000

5 . 3000000

70.000000 6.0000000

2.0000000

20.000000

5 . 0000000

41.923807

9.0262909 68.147674 -.82094830

.42543463

41.923810

9.0262910

68.147670 -.82094830

.42543460

41.923800

9.0262901 68.147700

-.82094800

.42543500

41.924000

9.0263000

68.148000 -.82095000

.42543000

41.920000

9 . 0260000

68.150000 -.82090000

.42540000

41.900000

9 . 0300000

68.100000 -.82100000

.42500000

42.000000

9.0000000

68 . 000000 -.82000000

. 43000000

40.000000

9 . 0000000

70.000000

- . 80000000

. 40000000

10.000000

.13563949 1.9525860

' 1.0760000-03

' 7.7772000+04

10.000000

.13563950 1.9525860

' 1.0760000+03

' 7.7772000-04

10.000000

.13563900 1.9525900

1 1.0760000+03

' 7.7772000+04

10.000000

.13564000 1.9526000

' 1.0760000+03

' 7.7772000+04

10.000000

.13560000 1.9530000

' 1.0760000+03

' 7.7770000+04

10.000000

.13600000

1 . 9500000

1.0800000+03 7.7800000-04

10.000000

. 14000000 2.0000000

' 1.1000000+03

' 7.8000000+04

10.000000

. 10000000

2 . 0000000

1 1.0000000-03

[ 8.0000000-04 *********************************************************** **********************************************************

THE FOLLOWING VALUES SHOULD BE EQUAL TO OR NEAR ZERO. THEY ARE NOT EXACTLY ZERO DUE TO USING TWO DIFFERENT METHODS OF ROUNDING.

0. * 6.6682696-08 * 6.6657861-07 *-6. 6667795-06 .0073332945 -.0073333348 *********************************************************** **********************************************************

53
OMNI TAB 80 TEST 13 ROUND INSTRUCTION. (4.7) PAGE 2

LIST OF DATA. INSTRUCTIONS AND DIAGNOSTICS

SET IN COLUMN 21 DATA 7.2444443-01 6.4748596-00 1.6718015-00

2.0000000-01 5.2533334-00 4.1923807-01 9.0262909-00 6.8147674-01 -8.2094830-01 4.2543463-01 1.0000000-01 1.3563949-01 1.9525860-00 1.0760000-03 7.7772000-04

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM TO 15.

DEFINE COLUMN 21 INTO COLUMN 1 SUBTRACT COLUMN 21 FROM 1 PUT IN COL 41 5/ ROUND 21 TO 7 SIGNIFICANT DIGITS AND STORE IN COL 22

6/ INCREMENT INSTRUCTION 5 BY 1,-1 AND 1 7/ROUND COL 1 TO 7 SIG. DIGITS STORE IN COL 2 8/INCREMENT INSTRUCTION 7 BY 0. -1 AND 1 9/SUBTRACT COL 2 FROM COL 22 STORE IN COL 32

10/ INCREMENT INSTRUCTION 9 BY 1 , 1 AND 1 11 /AVERAGE COL 32 STORE IN COL 42 12/INCREMENT INSTRUCTION 11 BY 1 AND 1 PERFORM INSTRUCTIONS 5 THRU 12. 7 TIMES

TITLE1 NUMBER OF SIGNIFICANT DIGITS PER COLUMN. TITLE3 8 7 6 5 TITLE4 4 3 2 1 PRINT 21 *** 28 SPACE 2 NOTE NUMBER OF SIGNIFICANT DIGITS PER COLUMN.

N0TE1 8 7 6 5 N0TE2 4 3 2 1 SPACE 2 PRINT NOTE

SPACE 2 NPRINT 1 *** 8 VOTE 1 **************************************************************************

N0TE2 **************************************************************************

PRINT NOTE

SPACE NOTE THE FOLLOWING VALUES SHOULD BE EQUAL TO OR NEAR ZERO. NOTE THEY ARE NOT EXACTLY ZERO DUE TO USING WO DIFFERENT METHODS OF ROUNDING. SPACE ABRIDGE ROW 1 COL 41***48

SPACE PRINT NOTE

NATIONAL BUREAU OF STANDARDS. WASHINGTON, D. C. 20234

OMNI TAB 80 VERSION 6.00 MARCH 2, 1981

54
OMNITAB 80 TEST 14 SUM, PARPRODUCT, PARSUM AND RMS (ROOT MEAN SQUARE). (4.7) RESULTS OF AVERAGE , SUM , PARPRODUCT , PARSUM AND RMS COMMANDS. COLUMN 1 WAS DEFINED BY READ COMMAND. COLUMN 1 COLUMN 2 COLUMN 3 COLUMN 4 COLUMN 5

PAGE

1.0000000 2.0000000

3 . 0000000

5 . 0000000

7 . 0000000

0.

3.0000000

3 . 0000000

3.0000000

3.0000000

3.0000000

3 . 0000000

8.000000

8.000000

8.000000

8 . 000000

8.000000

18.000000

17.000000

17.000000

17.000000

17.000000

17.000000

17.000000

1 . 0000000

2 . 0000000

6.0000000

30.000000 210.00000

0.

COLUMN 6

1.0000000 3.0000000 6.0000000

11.000000

18.000000

18.000000

COLUMN

3.8297084

3.8297084

3.8297084

3.8297084

3.8297084

3.8297084

COLUMN 2 CONTAINS AVERAGE OF COLUMN 1. COLUMN 3 CONTAINS SUM OF COLUMN 1. COLUMN 4 CONTAINS SUM OF ROWS 2 THRU 5 OF COLUMN 1

.

COLUMN 5 CONTAINS PARTIAL PRODUCTS OF COLUMN 1

.

COLUMN 6 CONTAINS PARTIAL SUMS OF COLUMN 1

.

COL 7 CONTAINS THE ROOT MEAN SQUARE OF THE VALUES IN COL 1.

***************************************************************************

THE FOLLOWING VALUES SHOULD BE CLOSE TO OR EQUAL TO ZERO.

0. 0. 0. 0. ***************************************************************************

55
OMNI TAB 80 TEST 14 SUM, PARPRODUCT, PARSUM AND RMS (ROOT MEAN SQUARE). (4.7) PAGE 2

LIST OF DATA, INSTRUCTIONS AND DIAGNOSTICS

READ THE FOLLOWING NUMBERS INTO COLUMN 1 1.0 2.0

3.0

5.0

7.0 0.0

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM TO 6.

AVERAGE COLUMN 1 AND STORE RESULT IN COLUMN 2 SUM COLUMN 1 AND STORE RESU1T IN COLUMN 3 SUM COLUMN 1 ROWS 2, 3, 4 AND 5 STORE RESULT IN COLUMN 4 PARPRODUCT OF COLUMN 1 AND STORE RESULT IN COLUMN 5 PARSUM OF COLUMN 1 AND STORE RESULT IN COLUMN 6 RMS OF COLUMN 1 AND STORE RESULT IN COLUMN 7 SQUARE COLUMN 1 AND STORE RESULTS IN COLUMN 11 SUM COLUMN 11 AND STORE RESULT IN COLUMN 12 DIVIDE COLUMN 12 BY 6.0 STORE IN COLUMN 12 SQRT OF COLUMN 12 STORE IN COLUMN 13 SUB COLUMN 7 FROM COLUMN 13 STORE IN COLUMN 8 TITLE1RESULTS OF AVERAGE . SUM . PARPRODUCT . PARSUM AND RMS COMMANDS. TITLE3C0LUMN 1 WAS DEFINED BY READ COMMAND. PRINT COLUMNS 1 2 3 4 5 6 .AND 7 SPACE 2 NOTE COLUMN 2 CONTAINS A\ERAGE OF COLUMN 1

.

NOTE COLUMN 3 CONTAINS SUM OF COLUMN 1. NOTE COLUMN 4 CONTAINS SUM OF ROWS 2 THRU 5 OF COLUMN 1

.

NOTE COLUMN 5 CONTAINS PARTIAL PRODUCTS OF COLUMN 1. NOTE COLUMN 6 CONTAINS PARTIAL SUMS OF COLUMN 1. NOTE COL 7 CONTAINS THE ROOT MEAN SQUARE OF THE VALUES IN COL 1

.

SUB *6,3* FROM *6.6* STORE IN COLUMN 9 SUB 3.0 FROM COLUMN 2 AND STORE IN COLUMN 10 SPACE 2 NOTE ***************************************************************************

SPACE NOTE THE FOLLOWING VALUES SHOULD BE CLOSE TO OR EQUAL TO ZERO. SPACE ABRIDGE ROW 6 OF COLUMNS 8 9 10 AND 5 SPACE NOTE ***************************************************************************

NATIONAL BUREAU OF STANDARDS. WASHINGTON, D. C. 20234 OMNITAB 80 VERSION 6.00 MARCH 2, 1981

56
OMNITAB 80 TEST 15 PERCENTAGES, PROPORTIONS AND DAYS INSTRUCTIONS. (4.7) PAGE 1

COLUMN 8 COLUMN 2 COLUMN 3

8.0000000 20.512820 .20512820 11.000000 28.205128 .28205128 14.000000 35.897435 .35897436 5.0000000 12.820513 .12820513 1.0000000 2.5641025 .025641026

ft**************************************************************************

THE FOLLOWING VALUE MUST BE EQUAL TO OR NEAR ZERO.

0.

***» «** ********»*»»*»***»»»*»******»*»**«****»*»**»*******************

THE TOTAL NUMBER OF DAYS BETWEEN 7/4/1776 AND 7/4/1976 IS

73049 ***************************************************************************

57
OMNITAB 80 TEST 15 PERCENTAGES, PROPORTIONS AND DAYS INSTRUCTIONS. (4.7) PAGE 2

LIST OF DATA, INSTRUCTIONS AND DIAGNOSTICS

SET IN COL 8 THE FOLLOWING NUMBERS

8, 11, 14, 5, AND 1

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM TO 5.

PERCENTAGES OF COL 8 PUT IN COL 2 PROPORTIONS OF COL 8 PUT IN COL 3 PRINT COLS 8 2 AND 3 MULTIPLY COL' 3 BY 100. AND -1. ADD COL 2 PUT IN COL 3 SPACE 3 NOTE ***************************************************************************

SPACE NOTE THE FOLLOWING VALUE MUST BE EQUAL TO OR NEAR ZERO. SPACE ABRIDGE ROW 1 OF COL 3 SPACE NOTE ***************************************************************************

READ INTO COL 11, 12 AND 13 DATE OF INDEPENDENCE 7/4/1776

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM 5 TO 1.

DAYS OF COLS 11, 12 AND 13 PUT -IN COL 14 READ INTO COLS 21, 22 AND 23 BICENTENNIAL DATE 7/4/1976

DAYS OF COLS 21, 22 AND 23 PUT IN COL 24 SUBTRACT COL 14 FROM COL 24 MULT BY 1 . ADD 1 . PUT IN COL 25 SPACE 3 NOTE ***************************************************************************

SPACE NOTE THE TOTAL NUMBER OF DAYS BETWEEN 7/4/1776 AND 7/4/1976 IS SPACE FIXED ABRIDGE ROW 1 OF COL 25 SPACE

NOTE ***************************************************************************

NATIONAL BUREAU OF STANDARDS. WASHINGTON, D. C. 20234 OMNITAB 80 VERSION 6.00 MARCH 2, 1981

58
OMNITAB 80 TEST 16 EXPAND AND SHORTEN INSTRUCTIONS. (4.7) AND (5.3) PAGE 1 THE FOLLOWING IS AN EXAMPLE OF SHORTEN AND EXPAND COMMANDS. COLUMN 1 WAS DEFINED BY THE EXPAND COMMAND. COLUMNS 5 AND 6 WERE DEFINED BY THE SHORTEN COMMAND. COLUMN 1 COLUMN 2 COLUMN 3 COLUMN 4 COLUMN 6 COLUMN 7

1.0000000 1.0000000 1.0000000 1.0000000 2.0000000 4.0000000 16.000000 64.000000

3.0000000 9.0000000 81.000000 * 7.2900000+02 4.0000000 16.000000 * 2.5600000+02 * 4.0960000+03

5.0000000 25.000000 * 6.2500000+02 * 1.5625000+04

1.0000000

2 . 0000000

3.0000000 4.0000000

5.0000000

1 . 0000000 4.0000000

9 . 0000000

16.000000 25.000000

6.0000000

7.0000000

8.0000000 9.0000000

10.000000

36.000000 49.000000

64.000000

81.000000

100.00000

1 . 2960000+03 2.4010000+03 4.0960000+03

6.5610000+03

1.0000000+04

4.6656000+04

1.1764900+05 2.6214400+05

5.3144100+05

1 . 0000000+06

6.0000000

7.0000000

36.000000 49.000000

***************************************************************************

THE FOLLOWING VALUES MUST BE EQUAL TO OR NEAR ZERO.

0. 0. 0. 0. 0. tittit«i*tt»»«***»t*«»»t»t**tttt«>*tt*>*»»*tt*tt*tt*t***tt****tttt*tl*)H*t

59
OMNITAB 80 TEST 16 EXPAND AND SHORTEN INSTRUCTIONS. (4.7) .AND (5.3) PAGE 2

LIST OF DATA. INSTRUCTIONS AND DIAGNOSTICS

GENERATE BEGIN WITH 1. IN STEPS OF 1. THRU 10. STORE IN COLUMN 1

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM TO 10.

EXPAND VALUES IN COL 1 TO 6TH POWER IN INTERNALS OF 2 START STORING IN COLUMN 2 SHORTEN COLUMN 1 FOR COLUMN 2 EQUAL TO 49. PUT SHORTENED COLUMNS IN 6 .AND 7

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM 10 TO 7.

RESET NRMAX TO 10

* INFORMATIVE DIAGNOSTIC FOR THE .ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM 7 TO 10.

TITLE1THE FOLLOWING IS .AN EXAMPLE OF SHORTEN AND EXPAND COMMANDS. TITLE2 COLUMN 1 WAS DEFINED BY THE EXPAND COMMAND. COLUMNS 5 .AND 6 TITLE3 WIRE DEFINED BY THE SHORTEN COMMAND. PRINT COLUMNS 12 3 4 5 6 7 SQRT OF COLUMN 2 AND STORE IN COLUMN 5 SUBTRACT COLUMN 5 FROM COLUMN 1 .AND STORE IN COLUMN 11 MULTIPLY COL 2 BY COL 2 MULT BY -1.0 .ADD TO COL 3 STORE IN COL 12 MULTIPLY COL 2 BY COL 3 MULT BY -1.0 ADD TO COL 4 STORE IN COL 13 SUM COLUMN 1 AND STORE IN COLUMN 1 SLM COLUMN 6 AND STORE IN COLUMN 6 SUBTRACT COLUMN 6 FROM COLUMN 1 AND STORE IN COLUMN 14 SUB THE VALUE 27.0 FROM COLUMN 14 AND STORE IN COLUMN 14 SUM COLUMN 2 AND STORE IN COLUMN 2 SUM COLUMN 7 AND STORE IN COLUMN 7 SUBTRACT COLUMN 7 FROM COLUMN 2 .AND STORE IN COLUMN 15 SUB THE VALUE 245.0 FROM COLUMN 15 AND STORE IN COLUMN 15 SPACE 2 MOTE ***************************************************************************

SPACE NOTE THE FOLLOWING VALUES MUST BE EQUAL TO OR NEAR ZERO. SPACE ABRIDGE ROW 1 OF COLUMNS 11, 12. 13. 14 AND 15. SPACE

\ I

: J

k J**************************************************************************

NATIONAL BUREAU OF STANDARDS. WASHINGTON. D. C. 20234 OMNITAB 80 VERSION 6.00 MARCH 2. 1981

60
OMNITAB 80 TEST 17 COMPLEX ARITHMETIC INSTRUCTIONS. (4.8)

X Y REAL IMAGINARY REAL IMAGINARY COLUMN 51 COLUMN 52 COLUMN 61 COLUMN 62

PAGE 1 X+Y

REAL IMAGINARY COLUMN 1 COLUMN 2

Y-X

REAL COLUMN 1

1

IMAGINARY COLUMN 12

0.0.

0.1.0000000

1 . 0000000

0.

1 . 0000000

1 . 0000000

0.

0.

0.0.

1 . 0000000

1.0000000

1 . 0000000

0.1.0000000

0.

1 . 0000000

0.

0.

0.1.0000000

2 . 0000000

2 . 0000000

0.2 . 0000000

1 . 0000000

1 . 0000000

0.

0.

0.

1. 0.

0.

.0000000

0.

0. -1.0000000

1.0000000

0.

1.0000000

1 . 0000000

0.

0.3.0000000

1 . 0000000

1 . 0000000

0.

0.

1 . 0000000

1 . 0000000

0.

3 . 0000000

1 . 0000000

1 . 0000000

1 . 0000000

0.

0.

1 . 0000000 -1.0000000

2 . 0000000

1 . 0000000

3 . 0000000

1 . 0000000 4.0000000

2 . 0000000

1 . 0000000

0.

1 . 0000000

0.

0. -1.0000000

3.0000000

1 . 0000000 -2.0000000

0. -1.0000000

0.1.0000000

-2 . 0000000

1 . 0000000

1 . 0000000

10.000000

10.000000

1.2345678

1 . 0000000

-1.0000000

2 . 0000000

1 . 0000000

10.000000

-2 . 0000000

1 . 0000000

10.000000 -1.2345678

0.

-1.0000000

-1.0000000

1 . 0000000

10.000000

10.000000

-1.0000000

2 . 0000000

20.000000

8.7654322

1.2345678

0. -2.0000000

3 . 0000000

11.000000 20.000000

-3.0000000

0.

0. -11.234568 -1.2345678

-2 . 0000000

0. -1.0000000

9 . 0000000

0.

-1.2345678 0. -1.2345678 0. -2.4691356 0. 0.

it************************************************************************

THE FOLLOWING VALUES MUST BE EQUAL TO OR NEAR ZERO.

-1.8626451-09 0. »*****»***********»***************»********»»»»»»****»«*»******»»»*»»*»**»*

61
OMNTTAB 80 TEST 17 COMPLEX ARITHMETIC INSTRUCTIONS. (4.8)

X X*(3.5-1.0I)

REAL IMAGINARY REAL IMAGINARY COLUMN 51 COLUMN 52 COLUMN 21 COLUMN 22

PAGE 2 X*(3.5-1.0I)/(3.5-1.0I)

REAL IMAGINARY

COLUMN 31 COLUMN 32

. 0000000

. 0000000

0.

1 . 0000000

1 . 0000000

0.

0.

0. -1.0000000 -1.0000000

3 . 5000000

3 . 5000000

0.

3 . 5000000

3 . 5000000

1 . 0000000

1 . 0000000

. 0000000

. 0000000

0.

1 . 0000000

1 . 0000000

0.

0.

1 . 0000000

1.0000000

0.

0.

3 . 0000000

. 0000000

. 0000000

0.0.

. 0000000

2 . 5000000

2 . 5000000

0.0.9 . 5000000

4.5000000

4.5000000

0.0.6 . 5000000

1 . 0000000

1 . 0000000

0.

0.

3 . 0000000

1 . 0000000

1 . 0000000

0.

0.

1 . 0000000

1 . 0000000

1.0000000

10.000000

10.000000

1.2345678

1 . 0000000

-1.0000000

2.0000000

1 . 0000000

10.000000

2.5000000 4.5000000

33.000000

34 . 000000 -5.6790127

4.5000000

-2 . 5000000

17.000000

13.500000 36.234568

1 . 0000000

1.0000000 10.000000

10.000000

1.2345678

1 . 0000000 -1.0000000

2 . 0000000

1 . 0000000

10.000000

-1.2345678 1.2345678 -4.3209873 *-l . 1246159-09 .2345678

***************************************************************************

THE FOLLOWING VALUES MUST BE EQUAL TO OR NEAR ZERO.

* 7.0288496-11 0. a**************************************************************************

62
OMNITAB 80 TEST 17 COMPLEX ARITHMETIC INSTRUCTIONS. (4.8)

X POLAR COORDINATES (X) REAL IMAGINARY THETA(ANGLE) RHO(RADIUS) COLUMN 51 COLUMN 52 COLUMN 53 COLUMN 54

PAGE 3 CHANGE BACK TO RECTANGULAR COORDINATES

REAL IMAGINARY COLUMN 55 COLUMN 56

0.

0.

0.1.0000000 1.0000000

0.

1 . 0000000

1 . 0000000

0.

0.

oooo oooooooo oooooooo oooooooo

1

1 5707963

5707963

0.

* 3.0794416-

* 3.0794416-

1 . 0000000

1.0000000

0808

0.

1 . 0000000

1 . 0000000

0.

0.

1.0000000

1.0000000

0.

0.3.0000000

1.0000000

1 . 0000000

0.0.1.0000000

1.4142136

1.4142136

0.0.3.1622777

78539816

78539816

32175056

1.0000000

1.0000000

0.

0.3.0000000

1 . 0000000

1 . 0000000

0.

0.1.0000000

1 . 0000000

1 . 0000000 0.000000

0.000000

1.2345678

1 . 0000000 -1.0000000

2.0000000

1.0000000

10.000000

1.4142136

1.4142136

10.198039 10.049876

10.075920 1

78539816 78539816

19739556 099668653

4479611

1.0000000

1 . 0000000

10.000000

10.000000

1.2345679

1 . 0000000

-1.0000000

2.0000000

1.0000000

10.000000

0. -1.2345678 1.2345678 -1 5707963 * 3.8017794- 08 -1.2345678

***************************************************************************

THE FOLLOWING VALUES MOST BE EQUAL TO OR NEAR ZERO.

*- 1.0882027-08 0. ***************************************************************************

63
OMNI TAB 80 TEST 17 COMPLEX ARITHMETIC INSTRUCTIONS. (4.8) PAGE 4

LIST OF DATA, INSTRUCTIONS AND DIAGNOSTICS

SET REAL PART OF X IN COLUMN 51

0. 0. 0. 1. 1. 1. 1. 0. 0. 3. 1. 1. 10. 10. 1.2345678

* INFORMATIVE DIAGNOSTIC FOR THE ABO\E INSTRUCTION - NRMAX HAS BEEN RESET FROM TO 15.

SET IMAGINARY P.ART OF X IN COLUMN 52

0. 1. 1. 0. 0. 1. 1. 0. 0. 1. 1. -1. 2. 1. 10. -1.2345678

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM 15 TO 16.

SET REAL PART OF Y IN COLUMN 61

0. 0. 1. 1. 1. 1. 0. 3. 1. 1. -2. 1. 10. -1.2345678

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM 16 TO 14.

SET IMAGINARY PART OF Y IN COLUMN 62

0. 1. 0. 1. 0. 1. 0. 0. 1. -1. -1. -1. 1. 10. 10. -1.2345678

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM 14 TO 16.

C.ADD X IN COLS 51. 52 TO Y IN COLS 61, 62 PUT IN COLUMNS 1, 2 (SUBTRACT X IN COLS 51, 52 FROM Y IN COLS 61, 62 PUT IN COLS 11, 12 TITLE 1 X Y TITLE2 X-Y Y-X

TITLE3 REAL IMAGINARY REAL IMAGINARY TITLE4 REAL IMAGINARY REAL IMAGINARY

PRINT COLS 51, 52 61, 62 1,2 11, 12 CADD COLS 1, 2 TO COLS 11, 12 PUT IN COLS 41, 42 CSUBTRACT COLS 11. 12 FROM COLS 1, 2 PUT IN COLS 43, 44

CDIVIDE COLS 41. 42 BY (2.0. 0.0) PUT IN COLS 45, 46 CDIVIDE COLS 43. 44 BY (2.0, 0.0) PLT IN COLS 47, 48 SUBTRACT COL 45 FROM COL 61 STORE IN COL 31 SUBTRACT COL 46 FROM 62 STORE IN COL 32 SUBTRACT COL 47 FROM COL 51 AND PLT IN COL 33 SUBTRACT COL 48 FROM COL 52 AND PLT IN COL 34 AVERAGE COL 31 PUT RESULT IN COL 35 AVERAGE COL 32 PLT RESL1T IN COL 36 AVERAGE COL 33 PUT RESULT IN COL 37 AVERAGE COL 34 PLT RESL1T IN" COL 38 SPACE 2 NOTE ***************************************************************************

SPACE NOTE THE FOLLOWING VALUES MUST BE EQUAL TO OR NEAR ZERO. SPACE ABRIDGE ROW 1 OF COLS 35 *** 38 SPACE

64
OMNITAB 80 TEST 17 COMPLEX ARITHMETIC INSTRUCTIONS. (4.8) PAGE 5

LIST OF DATA, INSTRUCTIONS AND DIAGNOSTICS

NOTE ***************************************************************************

CMULTIPLY COLS 51. 52 BY (3.5, 1.0) PUT IN COLUMNS 21, 22 CDIVIDE COLS 21, 22 BY (3.5, 1.0) PUT IN COLUMNS 31, 32 TITLE1 X X*(3.5+1.0I)

TITLE2 X*(3.5+1.0I)/(3.5+1.0I)

TITLE4 REAL IMAGINARY

PRINT COLS 51, 52 21, 22 31, 32 SUBTRACT COL 31 FROM COL 51 AND PUT IN COL 33 SUBTRACT COL 32 FROM COL 52 AND PUT IN COL 34 AVERAGE COL 33 PUT RESULT IN COL 35 AVERAGE COL 34 PUT RESULT IN COL 36 SPACE 2 NOTE ***************************************************************************

NOTE THE FOLLOWING VALUES MUST BE EQUAL TO OR NEAR ZERO. SPACE ABRIDGE ROW 1 OF COLS 35 AND 36 SPACE

NOTE ***************************************************************************

CPOLAR CHANGE CPLEX NOS. IN COLS 51, 52 FROM RECT. COORD. TO POLAR PUT IN 53, 54 CRECTANGULAR CHANGE POLAR COORD. OF CPLEX NOS. IN 53, 54 TO RECT. PUT IN 55, 56 SUBTRACT COL 55 FROM COL 51 AND PUT IN COL 57 SUBTRACT COL 56 FROM COL 52 AND PUT IN COL 58 AVERAGE COL 57 STORE IN COL 57 AVERAGE COL 58 STORE IN COL 58 TITLE1 X POLAR COORDINATES (X) TITLE2 CHANGE BACK TO RECTANGULAR COORDINATES

TITLE3 REAL IMAGINARY THETA(ANGLE) RHO(RADIUS) TITLE4 REAL IMAGINARY

PRINT COLS 51***56

SPACE 2 NOTE ***************************************************************************

SPACE

NOTE THE FOLLOWING VALUES MUST BE EQUAL TO OR NEAR ZERO. SPACE ABRIDGE ROW 1 COLUMNS 57, 58 SPACE

NOTE ***************************************************************************

NATIONAL BUREAU OF STANDARDS. WASHINGTON, D. C. 20234 OMNITAB 80 VERSION 6.00 MARCH 2, 1981

65
OMNITAB 80 TEST 18 DEMOTE AND PROMOTE INSTRUCTIONS. (5.2) PAGE 1 THE FOLLOWING IS AN EXAMPLE OF PROMOTE AND DEMOTE. COLUMN 1 WAS DEFINED BY THE GENERATE COMMAND. COLUMNS 2, 3, 4 AND 5 WERE DEFINED BY THE PROMOTE AND DEMOTE COMMANDS

.

COLUMN 1 COLUMN 2 COLUMN 3 COLUMN 4 COLUMN 5

1 . 0000000

2 . 0000000

3.0000000 4.0000000

5 . 0000000

0.0.

1 . 0000000

2 . 0000000

3 . 0000000

0.

0.

0.0.

1 . 0000000

1.0000000

2 . 0000000

3 . 0000000 4.0000000

5 . 0000000

0.

0.

1 . 0000000

2.0000000

3.0000000

6.0000000

7 . 0000000

8 . 0000000

9 . 0000000

10.000000

4.0000000

5 . 0000000

6.0000000

7 . 0000000

8.0000000

2 . 0000000

3 . 0000000 4.0000000

5 . 0000000

6.0000000

6.0000000

7.0000000

8.0000000

9 . 0000000

10.000000

4.0000000

5 . 0000000

6.0000000

7 . 0000000

8 . 0000000

0.

0.

9 . 0000000

10.000000

7 . 0000000

8 . 0000000

0.

0.

0.

0.

COLUMN 1 WAS MOVED DOWN BY 2 ROWS AND STORED IN COLUMN 2. COLUMN 2 WAS MOVED DOWN BY 2 ROWS AND STORED IN COLUMN 3. COLUMN 2 WAS MOVED UP BY 2 ROWS AND STORED IN COLUMN 4. COLUMN 3 WAS MOVED UP BY 2 ROWS AND STORED IN COLUMN 5. ROW 11 OF COL 9 CONTAINS SUM OF TERMS OF THE 8X2 ARRAY IN ROW 1 COL 6

***************************************************************************

THE FOLLOWING VALUE SHOULD BE CLOSE TO OR EQUAL TO ZERO.

0. ***************************************************************************

66
OMNITAB 80 TEST 18 DEMOTE AND PROMOTE INSTRUCTIONS. (5.2) PAGE 2

LIST OF DATA, INSTRUCTIONS AND DIAGNOSTICS

GENERATE STARTING WITH 1 IN STEPS OF 1 UP THRU 10 AND STORE VALUES IN COLUMN 1

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM TO 10.

DEMOTE BY 2 ROWS COLUMN 1 INTO COLUMN 2, COLUMN 2 INTO COLUMN 3

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM 10 TO 12.

PROMOTE BY 2 ROWS COLUMN 2 INTO COLUMN 4, COLUMN 3 INTO COLUMN 5 TITLE1 THE FOLLOWING IS AN EXAMPLE OF PROMOTE AND DEMOTE. TITLE3 COLUMN 1 WAS DEFINED BY THE GENERATE COMMAND. COLUMNS 2,3,

TITLE4 4 AND 5 WERE DEFINED BY THE PROMOTE AND DEMOTE COMMANDS. PRINT COLUMNS 1***5 SPACE NOTE COLUMN 1 WAS MOVED DOWN BY 2 ROWS AND STORED IN COLUMN 2. NOTE COLUMN 2 WAS MOVED DOWN BY 2 ROWS AND STORED IN COLUMN 3. NOTE COLUMN 2 WAS MOVED UP BY 2 ROWS AND STORED IN COLUMN 4. NOTE COLUMN 3 WAS MOVED UP BY 2 ROWS AND STORED IN COLUMN 5. ASUB ARRAY IN ROW 3 COL 2 SIZE 8X2 MINUS ROW 1 COL 4 SIZE 8X2 PUT IN R=l, C=6

SAPROP OF ARRAY IN ROW 1 OF COL 6 SIZE 8X2 STORE PROPERTIES IN COLUMN 9 NOTE ROW 11 OF COL 9 CONTAINS SUM OF TERMS OF THE 8X2 ARRAY IN ROW 1 COL 6 SPACE 2 NOTE ***************************************************************************

SPACE

NOTE THE FOLLOWING VALUE SHOULD BE CLOSE TO OR EQUAL TO ZERO. SPACE ABRIDGE ROW 11 OF COLUMN 9 SPACE

NOTE ***************************************************************************

NATIONAL BUREAU OF STANDARDS. WASHINGTON, D. C. 20234 OMNITAB 80 VERSION 6.00 MARCH 2, 1981

67
OMNI TAB 80 TEST 19 EXCHANGE INSTRUCTION. (5.2) COLUMNS 1 THROUGH 8 WERE DEFINED BY THE READ COMMAND. PAGE

COLUMN 1

1 . 0000000

9 . 0000000

20 . 000000

COLUMN 2

2.0000000

10.000000

30 . 000000

COLUMN 3

3 . 0000000

1 1 . 000000

40 . 000000

COLUMN 4

4.0000000

12.000000

50 . 000000

COLUMN 5

5.0000000

13.000000

60 . 000000

COLUMN 6

6.0000000

14.000000

70 . 000000

COLUMN 7

7.0000000

15.000000 80.000000

COLUMN 8

8.0000000

.16000000 90.000000

THE FOLLOWING VALUES WERE PRINTED BY THE COMMAND NPRINT. COLUMN 1 WAS EXCHANGED WITH COLUMN 2, COLUMN 3 WITH COLUMN 4 AND COLUMN 5 WITH COLUMN 6.

2 . 0000000

10.000000 30.000000

1 . 0000000

9 . 0000000

20 . 000000

4 . 0000000

12.000000

50 . 000000

3 . 0000000

11.000000

40 . OOOOOO

6.0000000

14.000000

70 . OOOOOO

5 . 0000000

13.000000

60 . OOOOOO

7.0000000

15.000000 80.000000

8.0000000

.16000000 90.000000 ***************************************************************************

THE FOLLOWING VALUES SHOULD BE CLOSE TO OR EQUAL TO ZERO.

0. 0. 0. ***************************************************************************

68
OMNITAB 80 TEST 19 EXCHANGE INSTRUCTION. (5.2) PAGE 2

LIST OF DATA, INSTRUCTIONS AND DIAGNOSTICS

READ THE FOLLOWING VALUES INTO COLUMNS 1***8

1. 2. 3. 4. 5. 6. 7. 8.

9. 10. 11. 12. 13. 14. 15. .16

20. 30 40 50 60 70 80 90

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM TO 3.

TITLE1 COLUMNS 1 THROUGH 8 WERE DEFINED BY THE READ COMMAND. PRINT COLUMNS 1***8 MOVE THE ARRAY STARTING IN ROW 1 OF COL 1 SIZE 3X1 PUT IN ROW 1 OF COL 9 MOVE THE ARRAY STARTING IN ROW 1 OF COL 3 SIZE 3X1 PUT IN ROW 1 OF COL 10 MOVE THE ARRAY STARTING IN ROW 1 OF COL 5 SIZE 3X1 PUT IN ROW 1 OF COL 11 EXCHANGE COLUMN 1 WITH COLUMN 2, COLUMN 3 WITH COLUMN 4, COLUMN 5 WITH COLUMN 6 SPACE NOTE THE FOLLOWING VALUES WERE PRINTED BY THE COMMAND NPRINT. NOTE COLUMN 1 WAS EXCHANGED WITH COLUMN 2, COLUMN 3 WITH COLUMN 4 AND NOTE COLUMN 5 WITH COLUMN 6. SPACE NPRINT COLUMNS 1***8 WITH NO HEADINGS

SUBTRACT COL 2 FROM COL 9 STORE IN COL 12 SUBTRACT COL 4 FROM COL 10 STORE IN COL 13 SUBTRACT COL 6 FROM COL 11 STORE IN COL 14 SPACE

NOTE ***************************************************************************

SPACE

NOTE THE FOLLOWING VALUES SHOULD BE CLOSE TO OR EQUAL TO ZERO. SPACE ABRIDGE ROW 1 OF COLUMNS 12***14 SPACE

NOTE ***************************************************************************

NATIONAL BUREAU OF STANDARDS. WASHINGTON, D. C. 20234

OMNITAB 80 VERSION 6.00 MARCH 2, 1981

69
OMNITAB 80 TEST 20 MOVE, AMOVE AND MMOVE INSTRUCTIONS. (5.2), (10.2) AND (11.2) PAGE 1 COLUMNS 1 THROUGH 4 HA\T£ BEEN DEFINED BY READ COMMAND. THE VALUES OF ROWS 2 THROUGH 6 OF COLUMNS 2 THROUGH 4 HAVE BEEN MOVED TO A NEW LOCATION BEGINNING IN ROW 3 OF COL 5. FIVE ROWS AND 3 COLUMNS WERE MOVED. COLUMN 1 COLUMN 2 COLUMN 3 COLUMN 4 COLUMN 5 COLUMN 6 COLUMN 7

123

4

5

0000000 0000000

0000000

. 0000000

.0000000

6 . 0000000

7 . 0000000

8 . 0000000

9.0000000

10.000000

1 1 . 000000

12.000000

13.000000

14.000000

15.000000

16.000000

17.000000

18.000000

19.000000 20.000000

0.

0.

0.

0.

0.

0.

0.

0.7 . 0000000

8 . 0000000

9 . 0000000

10.000000

0.

0.0. 12.000000 13.000000

14.000000

15.000000

0.

0.

0. 17.000000

18.000000

19.000000

20.000000

0.

it************************************************************************

THE FOLLOWING VALUE SHOULD BE CLOSE TO OR EQUAL TO ZERO.

0. ***************************************************************************

ARRAYS A AND B HAVE BEEN FORMED BY AMOVE AND MMOVE COMMANDS. THEIR ELEMENTS SHOULD ALL BE EQUAL.

RRAY A ARRAY B

0. 12.000000

13.000000

14.000000

1 5 . 000000

0. 17.000000 18.000000

19.000000 20.000000

0. 12.000000

13.000000

14.000000

15.000000

0. 17.000000

18.000000

19.000000 20.000000

0.0.

0.

0.

0.

0.

0.0.

***************************************************************************

THE FOLLOWING VALUE SHOULD BE CLOSE TO OR EQUAL TO ZERO.

0. ***************************************************************************

70
OMNITAB 80 TEST 20 MOVE, AMOVE AND MMOVE INSTRUCTIONS. (5.2), (10.2) AND (11.2) PAGE 2

LIST OF DATA, INSTRUCTIONS AND DIAGNOSTICS

READ THE FOLLOWING VALUES INTO COLUMNS 1 2 3 AND 4

1. 6. 11. 16.

2. 7. 12. 17.

3. 8. 13. 18.

4. 9. 14. 19.

5. 10. 15. 20.

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM TO 5.

MOVE THE ARRAY BEGINNING IN ROW 2 OF COL 2 SIZE 5X3 PUT IN ROW 3 OF COL 5 TITLE 1 COLUMNS 1 THROUGH 4 HAVE BEEN DEFINED BY READ COMMAND. THE TITLE2VALUES OF ROWS 2 THROUGH 6 OF COLUMNS 2 THROUGH 4 HAVE BEEN TITLE3 MOVED TO A NEW LOCATION BEGINNING IN ROW 3 OF COL 5. FIVE R TITLE40WS AND 3 COLUMNS WERE MOVED. RESET NRMAX TO 7

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM 5 TO 7.

PRINT COLUMNS 1***7 ASUB ARRAY IN ROW 2 COL 2 5X3 MINUS ARRAY IN ROW 3 COL 5 5X3 PUT IN ROW 2 COL 20 SMPROPERTIES OF MATRIX IN ROW 2 OF COL 20 SIZE 5X3 STORE PROPERTIES IN COL 30 SPACE 2 NOTE ***************************************************************************

SPACE NOTE THE FOLLOWING VALUE SHOULD BE CLOSE TO OR EQUAL TO ZERO. SPACE ABRIDGE ROW 11 OF COLUMN 30 SPACE NOTE ***************************************************************************

AMOVE ARRAY IN ROW 3 OF COL 6 SIZE 4X2 STORE IN ROW 2 OF COLUMN 10 MMOVE MATRIX IN ROW 2 OF COL 3 SIZE 4X2 PUT IN ROW 2 OF COL 12 SPACE 2 NOTE ARRAYS A AND B HAVE BEEN FORMED BY AMOVE AND MMOVE COMMANDS. NOTE THEIR ELEMENTS SHOULD ALL BE EQUAL. SPACE NOTE ARRAY A ARRAY B SPACE NPRINT COLUMNS 10***13 SUB COL 11 FROM COL 13 STORE IN COL 15 AVERAGE COL 15 STORE IN COL 15 SPACE 2 NOTE ***************************************************************************

SPACE NOTE THE FOLLOWING VALUE SHOULD BE CLOSE TO OR EQUAL TO ZERO. SPACE ABRIDGE ROW 1 OF COLUMN 15 SPACE NOTE ***************************************************************************

71
OMNI TAB 80 TEST 20 MOVE, AMOVE AND MMOVE INSTRUCTIONS. (5.2), (10.2) ANT) (11.2) PAGE 3

LIST OF DATA, INSTRUCTIONS AND DIAGNOSTICS

NATIONAL BUREAU OF STANDARDS. WASHINGTON. D. C. 20234 OMNITAB 80 VERSION 6.00 MARCH 2, 1981

72
OMNITAB 80 TEST 21 CENSOR, SELECT AND SEARCH INSTRUCTIONS. (5.3) AND (5.5) PAGE 1 THE FOLLOWING IS AN EXAMPLE OF THE CENSOR AND MATCH COMMANDS. COLUMN 1 WAS SET UP BY THE GENERATE COMMAND. COLUMNS 2 AND 3 WERE DEFINED BY THE CENSOR COMMAND. COLUMN 4 WAS DEFINED BY THE MATCH COMMAND. COLUMN 1 COLUMN 2 COLUMN 3 COLUMN 4

10.000000 20.000000

30.000000 40.000000

50.000000

ooooo ooooo ooooo oooooooooo ooooo ooooo

10.000000 20.000000

30.000000 40.000000

50.000000

1

1

1

1

1

ooooo ooooo ooooo ooooo ooooo ooooo ooooo

60.000000

70.000000

80.000000 90.000000

100.00000

60.000000

70.000000

80.000000 90.000000

100.00000

60.000000

70.000000

80.000000 90.000000

100.00000

1

1

1

1

1

. 0000000

.0000000

.0000000

.0000000

. 0000000

***************************************************************************

COLUMNS 1 AND 3 SHOULD CONTAIN THE SAME VALUES. THE VALUES IN COLUMN 4 SHOULD BE EQUAL TO ONE. THE FOLLOWING VALUES MUST BE EQUAL TO OR NEAR ZERO.

0. 0. ***************************************************************************

73
OMNITAB 80 TEST 21 CENSOR. SELECT AND SEARCH INSTRUCTIONS. (5.3) AND (5.5) THE FOLLOWING IS AN EXAMPLE OF THE SELECT COMMAND. COLUMNS 9 10 11 AND 12 WERE DEFINED BY SELECT COMMAND. COLUMN 1 COLUMN 2 COLUMN 4 COLUMN 5 COLUMN 9

PAGE

COLUMN 10 COLUMN 1

COLUMN 12

10.000000 20.000000

30 . 000000

40 . 000000

50.000000

. 0000000

. 0000000

. 0000000

.0000000

. 0000000

5.0000000

10.000000

10.000000

12.000000

15.000000

1 . 0000000

1 . 0000000

1 . 0000000

0.

0.

1 . 0000000

1 . 0000000

1 . 0000000

0.

0.

1 . 0000000

1 . 0000000

1 . 0000000

0.

0.

5.0000000

5.0000000

5.0000000

0.

0.

60 . 000000 70.000000

80.000000 90.000000

100.00000

60.000000 70.000000

80.000000

90.000000

100.00000

1.0000000 2.0000000

10.000000

10.000000 84.000000

60.000000

70.000000

80 . 000000

90.000000

100.00000

1 . 0000000

1.0000000

1 . 0000000

1 . 0000000

80.000000

1 . 0000000

1 . 0000000

1 . 0000000

1 . 0000000 90.000000

1.0000000

1 . 0000000

1 . 0000000

1 . 0000000

0.

5.0000000

5.0000000

5.0000000

5.0000000 2.0000000

***************************************************************************

THE FOLLOWING VALUE MUST BE EQUAL TO OR NEAR ZERO.

***************************************************************************

74
0.MN1TAB 80 TEST 21 CENSOR, SELECT AND SEARCH INSTRUCTIONS. (5.3) AND (5.5) THE FOLLOWING IS AN EXAMPLE OF THE SEARCH COMMAND. COLUMN 13 WAS DEFINED BY THE SEARCH COMMAND. COLUMN 1 COLUMN 2 COLUMN 3 COLUMN 13

PAGE

10.000000 20.000000

30.000000

40 . 000000

50.000000

1 . 0000000

1 . 0000000

1 . 0000000

1.0000000

1.0000000

10.000000 20.000000

30.000000 40.000000

50.000000

1.0000000

1 . 0000000

1 . 0000000

1 . 0000000

1 . 0000000

60.000000

70.000000

80.000000 90.000000

100.00000

60.000000

70.000000

80.000000 90.000000

100.00000

60.000000

70.000000

80.000000 90.000000

100.00000

60.000000

70.000000

80.000000 90.000000

100.00000

***************************************************************************

COLUMNS 2 AND 13 SHOULD CONTAIN THE SAME VALUES. THE FOLLOWING VALUE MUST BE EQUAL TO OR NEAR ZERO.

0. ***************************************************************************

75
OMNI TAB 80 TEST 21 CENSOR. SELECT AND SEARCH INSTRUCTIONS. (5.3) AND (5.5) PAGE 4 THE FOLLOWING IS AN EXAMPLE OF THE TWO WORD CENSOR COMMANDS. COLUMN 1 IS DEFINED BY THE GENERATE COMMAND. COLUMN 8 WAS DEFINED BY THE FLIP COMMAND. COLUMN 1 CENSOR LE CENSOR EQ CENSOR GE CENSOR LT CENSOR GT CENSOR NE COLUMN

10.000000 2 . 0000000 10.000000 10. OOOOOO 100.00000 10. OOOOOO 100.00000 100.00000 20.000000 2.0000000 20.000000 20.000000 90.000000 20.000000 90.000000 90.000000

30 . OOOOOO 2 . 0000000 30 . 000000 30.000000 80.000000 30.000000 30.000000 80.000000 40.000000 2.0000000 40 . 000000 40.000000 70.000000 40.000000 70.000000 70.000000

50 . 000000 2.0000000 50 . OOOOOO 50.000000 60.000000 50.000000 60.000000 60.000000

60.000000 60 . 000000 50.000000 60.000000 50.000000 2.0000000 50.000000 50.000000

70.000000 70 . 000000 70.000000 2.0000000 40.000000 2.0000000 40.000000 40.000000

80.000000 80 . 000000 80.000000 2.0000000 80.000000 2.0000000 30.000000 30.000000 90.000000 90 . 000000 90.000000 2 . 0000000 90.000000 2.0000000 20.000000 20.000000

100.00000 100.00000 100.00000 2.0000000 100.00000 2.0000000 10.000000 10. OOOOOO

***************************************************************************

THE FOLLOWING VALUES MUST BE EQUAL TO OR NEAR 2.0 .AND 6.2.

2 . 0000000 6 . 2000000 ***************************************************************************

76
OMNITAB 80 TEST 21 CENSOR, SELECT AND SEARCH INSTRUCTIONS. (5.3) AND (5.5) PAGE 5

LIST OF DATA, INSTRUCTIONS AND DIAGNOSTICS

GENERATE STARTING WITH 10 IN STEPS OF 10 THRU 100 AND STORE VALUES IN COLUMN 1

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM TO 10.

CENSOR COLUMN 1 FOR VALUES LESS OR EQUAL TO 50. REPLACE BY 1.0 STORE IN COL 2 CENSOR COL 2 FOR VALUES LESS OR EQUAL TO VALUES IN 1 REPLACE BY COL 1 PUT IN 3 MATCH COL 1 FOR VALUES EQUAL TO VALUES IN COL 3 REPLACE BY 1.0 PUT IN COLUMN 4 SUBTRACT COLUMN 1 FROM COLUMN 3 AND STORE IN COLUMN 20 AVERAGE COLUMN 20 AND STORE IN COLUMN 20 AVERAGE COLUMN 4 AND STORE IN COLUMN 21 SUBTRACT 1.0 FROM COLUMN 21 AND STORE IN COL 21 TITLE1 THE FOLLOWING IS AN EXAMPLE OF THE CENSOR AND MATCH COMMAND

TITLE2S. COLUMN 1 WAS SET UP BY THE GENERATE COMMAND. TITLE3 COLUMNS 2 AND 3 WERE DEFINED BY THE CENSOR COMMAND. COLUMN

TITLE44 WAS DEFINED BY THE MATCH COMMAND. PRINT COLUMNS 1 2 3 AND 4 SPACE 2 NOTE ***************************************************************************

SPACE

NOTE COLUMNS 1 AND 3 SHOULD CONTAIN THE SAME VALUES. NOTE THE VALUES IN COLUMN 4 SHOULD BE EQUAL TO ONE. NOTE THE FOLLOWING VALUES MUST BE EQUAL TO OR NEAR ZERO. SPACE ABRIDGE ROW 1 OF COLUMNS 20 AND 21 SPACE

NOTE ***************************************************************************

SET THE FOLLOWING VALUES IN COLUMN 4 5.0 10.0 10.0 12.0 15.0 1.0 2.0 10.0 10.0 84.0 SELECT IN COL 1 VALUES APPROXIMATING COL 2 TO TOLERANCE .5 STORE IN COL 5 SELECT COL 2 VALUES APPROXIMATING COL 4 TO 10.0 STORE IN 9 TO 11 FREQ CT IN 12 TITLE1 THE FOLLOWING IS AN EXAMPLE OF THE SELECT COMMAND. TITLE2

TITLE3 COLUMNS 9 10 11 AND 12 WERE DEFINED BY SELECT COMMAND. TITLE4

PRINT COLUMNS 1 2 4 5 9 10 11 AND 12 ROWSUM COLUMNS 5 9 10 11 12 STORE IN COL 40

SET IN COLUMN 41

8. 8. 8. 0. 0. 68. 78. 88. 98. 272. SUBTRACT COLUMN 40 FROM COLUMN 41 STORE IN COL 40

AVERAGE COLUMN 40 STORE IN COLUMN 40

SPACE 2 NOTE ***************************************************************************

SPACE

NOTE THE FOLLOWING VALUE MUST BE EQUAL TO OR NEAR ZERO. SPACE ABRIDGE ROW 1 OF COLUMN 40

SPACE NOTE ***************************************************************************

SEARCH COL 3 FOR NUMBERS IN COL 1 MOVE CORRESPONDING VALUES IN COL 2 TO COL 13

77
OMNITAB 80 TEST 21 CENSOR, SELECT AND SEARCH INSTRUCTIONS. (5.3) AND (5.5) PAGE 6

LIST OF DATA, INSTRUCTIONS AND DIAGNOSTICS

TITLE1 THE FOLLOWING IS AN EXAMPLE OF THE SEARCH COMMAND. TITLE2

TITLE3 COLUMN 13 WAS DEFINED BY THE SEARCH COMMAND. TITLE4

PRINT COLUMNS 1 2 3 AND 13 SUBTRACT COL 2 FROM COLUMN 13 STORE IN COL 30 AVERAGE COL 30 AND STORE RESULT IN COL 30 SPACE 2 NOTE ***************************************************************************

SPACE

NOTE COLUMNS 2 AND 13 SHOULD CONTAIN THE SAME VALUES. NOTE THE FOLLOWING VALUE MUST BE EQUAL TO OR NEAR ZERO. SPACE ABRIDGE ROW 1 OF COLUMN 30 SPACE

\ QT C ***************************************************************************

TITLE1 THE FOLLOWING IS AN EXAMPLE OF THE TWO WORD CENSOR COMMANDS

TITLE2. COLUMN 1 IS DEFINED BY THE GENERATE COMMAND. TITLE3 COLUMN 8 WAS DEFINED BY THE FLIP COMMAND. LABEL CENSOR LE, 2, CENSOR EQ, 3, CENSOR GE. 4

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - (CENSOR LE) IS IN COL (2). (CENSOR EQ) IS IN COL (3) (CENSOR GE) IS IN COL (4)

LABEL CENSOR LT, 5. CENSOR GT, 6, CENSOR NE. 7

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - (CENSOR LT) IS IN COL (5), (CENSOR GT) IS IN COL (6) (CENSOR NE) IS IN COL (7)

FLIP COLUMN 1 INTO COLUMN 8 CENSOR LE COL 1 FOR NOS 50. OR LESS. REPLACE BY 2.0 PUT IN COL 2 CENSOR EQ COL 1 FOR VALUES EQUAL TO 60.. REPLACE BY COL 8 PUT IN COLUMN 3 CENSOR GE COL 1 FOR NOS 70.0 AND GREATER, REPLACE BY 2.0 PUT IN COL 4 CENSOR LT COL 1 FOR VALUES LESS THAN 80.0. REPLACE BY COL 8 PUT IN COLUMN" 5 CENSOR GT COLUMN 1 FOR VALUES GREATER THAN 50. , REPLACE BY 2.0 PUT IN COL 6 CENSOR NE COL 1 FOR VALUES OTHER THAN 30.. REPLACE WITH COL 8 PLT IN COLUMN 7 PRINT COLUMNS 1 , 2. 3, 4, 5, 6. 7 AND 8 ADD COL 6 TO COL 2 PUT IN COL 9 SUBTRACT COL 1 FROM COL 9 PUT IN COL 9 ADD COL 3 TO COL 7 PUT IN COL 10 SUBTRACT COL 5 FROM COL 10 PLT IN COL 10 SUBTRACT COL 4 FROM COL 10 PLT IN COL 10 AVERAGE COLUMN 9 PUT RESULT IN COLUMN 9 AVERAGE COLUMN 10 PUT RESULT IN COLUMN 10 SPACE 2 NOTE ***************************************************************************

78
OMNITAB 80 TEST 21 CENSOR, SELECT AND SEARCH INSTRUCTIONS. (5.3) AND (5.5) PAGE 7

LIST OF DATA, INSTRUCTIONS AND DIAGNOSTICS

SPACE

NOTE THE FOLLOWING VALUES MUST BE EQUAL TO OR NEAR 2.0 AND 6.2. SPACE ABRIDGE ROW 1 OF COLUMNS 9 10 NOTE ***************************************************************************

NATIONAL BUREAU OF STANDARDS. WASHINGTON, D. C. 20234 OMNITAB 80 VERSION 6.00 MARCH 2, 1981

79
OMNITAB 80 TEST 22 INSERT. SEPARATE AND MAXMIN INSTRUCTIONS. (5.3) AND (8.5) PAGE 1 THE FOLLOWING IS AN EXAMPLE OF THE INSERT AND SEPARATE COMMANDS. COLUMN 1 WAS DEFINED BY THE GENERATE COMMAND. COLUMNS 2 AND 3 WERE DEFINED BY SEPARATE AND COLUMN 4 BY INSERT. COLUMN 1 COLUMN 2 COLUMN 3 COLUMN 4

1 . 0000000

2.0000000 3.0000000 4.0000000

5 . 0000000

2 . 0000000 4.0000000

6.0000000

8.0000000

10.000000

1 . 0000000

3 . 0000000

5.0000000

7 . 0000000

9 . 0000000

1 . 0000000

2 . 0000000

3 . 0000000 4.0000000

5 . 0000000

6.0000000 7.0000000

8 . 0000000

9.0000000

10.000000

12.000000 14.000000

16.000000

18.000000 20.000000

1 1 . 000000

13.000000

15.000000

17.000000 19.000000

6.0000000

7 . 0000000

8 . 0000000

9.0000000

10.000000

1 1 . 000000

12.000000

13.000000 14.000000

15.000000

1 1 . 000000

12.000000

13.000000

14.000000

15.000000

16.000000

17.000000

18.000000

19.000000 20.000000

16.000000

17.000000

18.000000

19.000000 20.000000

***************************************************************************

THE FOLLOWING VALUE SHOULD BE CLOSE TO OR EQUAL TO ZERO.

0. ***************************************************************************

80
OMNITAB 80 TEST 22 INSERT, SEPARATE AND MAXMIN INSTRUCTIONS. (5.3) AND (8.5) PAGE 2 THE FOLLOWING IS AN EXAMPLE OF THE MAXMIN COMMAND. X WAS DEFINED BY THE GENERATE COMMAND. Y=COSD(X). COLUMNS 6 AND 7 CONTAIN MAXIMA VALUES OF FUNCTION Y. COLUMNS 8 AND 9 CONTAIN MINIMA VALUES OF FUNCTION Y. X Y COLUMN 6 COLUMN 7 COLUMN 8 COLUMN 9

-10.000000

0. 10.000000 20.000000

30.000000

.98480775

1 . 0000000

.98480775

.93969262

.86602541

3.8314035-08

3 . 6000000+02

1.0000000

1.0000002 180.00000 -1.0000000

40 . 000000

50.000000 60.000000

70.000000

80.000000

. 76604445

.64278762

.50000001 .34202016

.17364819

90.000000

100.00000

110.00000

120.00000 130.00000

1.5893255-08 -.17364816

-.34202012

-.49999997

-.64278758

140.00000

150.00000

160.00000

170.00000

180.00000

-.76604442

-.86602538

-.93969262

-.98480775

-1.0000000

190.00000 200.00000

210.00000

220.00000

230.00000

-.98480776 -.93969264

-.86602543

- . 76604448 -.64278768

240.00000 250.00000

260.00000

270.00000

280.00000

- . 50000005 -.34202018 -.17364825

*-4. 7679764-08

.17364810

290.00000

300.00000

310.00000 320.00000

330.00000

. 34202009

.49999992

.64278756

. 76604442

.86602537

340.00000

350.00000

360.00000

370.00000

.93969260

.98480774

1 . 0000000

.98480777

THE FOLLOWING VALUES SHOULD BE CLOSE TO OR EQUAL TO ZERO.

* 1.9073486-06

0. ***************************************************************************
OMNITAB 80 TEST 22 INSERT, SEPARATE ANT) MAXMIN INSTRUCTIONS. (5.3) AND (8.5) PAGE 3

LIST OF DATA, INSTRUCTIONS AND DIAGNOSTICS

GENERATE FROM 1 IN STEPS OF 1 THRU 20 AND STORE VALUES IN COL 1

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM TO 20.

SEPARATE FROM COLUMN 1 EVERY 2ND ROW STARTING WITH ROW 2 STORE IN COLUMN 2 SEPARATE FROM COL 1 EVERY 2ND ROW STARTING WITH ROW 1 .AND STORE IN COL 3 INSERT IN COL 3 FROM COL 2 AT EVERY 2ND ROW STARTING AT 2ND ROW STORE IN COL 4

» INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM 20 TO 4-0.

TITLE1 THE FOLLOWING IS AN EXAMPLE OF THE INSERT AND SEPARATE COMM TITLE2ANDS. TITLE3 COLUMN 1 WAS DEFINED BY THE GENERATE COMMAND. COLUMNS 2 AND TITLE4 3 WERE DEFINED BY SEPARATE AND COLUMN 4 BY INSERT. RESET NRMAX 20

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM 40 TO 20.

PRINT COLUMNS 1 2 3 AND 4 SPACE 2 SUB COL 1 FROM COL 4 STORE IN COLUMN 5 NOTE ***************************************************************************

SPACE NOTE THE FOLLOWING VALUE SHOULD BE CLOSE TO OR EQUAL TO ZERO. ABRIDGE ROW 1 OF COLUMN 5 SPACE

NOTE ***************************************************************************

RESET NRMAX

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM 20 TO 0.

GENERATE STARTING WITH -10 IN STEPS OF 10 THRU 370 AND STORE VALUES IN COLUMN 4

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM TO 39.

COSD OF COLUMN 4 AND STORE IN COLUMN 5 MAXMIN X IN COL 4 Y IN COL 5 STORE MAXIMA IN COLS 6 AND 7 MINIMA IN COLS 8 .AND 9 TITLE 1 THE FOLLOWING IS AN EXAMPLE OF THE MAXMIN COMMAND. X WAS D TITLE2EFINED BY THE GENERATE COMMAND. Y=COSD(X). TITLE3 COLUMNS 6 AND 7 CONTAIN MAXIMA VALUES OF FUNCTION Y. TITLE4 COLUMNS 8 AND 9 CONTAIN MINIMA VALUES OF FUNCTION Y. HEAD COL 4/ X HEAD COL 5/ Y PRINT COLUMNS 4»**9 RESET NRMAX 2

82
OMNITAB 80 TEST 22 INSERT, SEPARATE AND MAXMIN INSTRUCTIONS. (5.3) AND (8.5) PAGE 4

LIST OF DATA, INSTRUCTIONS AND DIAGNOSTICS

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM 39 TO 2.

ROWSUM COLS 6***9 STORE IN COLUMN 10 SET IN COL 11 180.0 361.0 SUBTRACT COL 10 FROM COL 11 STORE IN COL 12 SPACE 2 NOTE ***************************************************************************

SPACE NOTE THE FOLLOWING VALUES SHOULD BE CLOSE TO OR EQUAL TO ZERO. SPACE NPRINT COLUMN 12 SPACE

NOTE ***************************************************************************

NATIONAL BUREAU OF STANDARDS. WASHINGTON, D. C. 20234 OMNITAB 80 VERSION 6.00 MARCH 2, 1981

83
OMNI TAB 80 TEST 23 HIERARCHY. ORDER AND SORT INSTRUCTIONS. (5.4) COLUMNS 1 AND 2 WERE DEFINED BY THE SET COMMAND. COLUMN 3 CONTAINS THE LOCATIONS OF THE SMALLEST TO LARGEST VALUES OF COLUMN 1. COLUMN 1 COLUMN 2 COLUMN 3

PAGE 1

30 . 000000

3 . 5600000 2.1400000

1 . 0000000

0.

5 . 7800000

8 . 9000000

9 . 0000000

123.00000 .12000000

1 . 2450000

. 44000000

7.5800000 23.000000

56.000000

45.000000

78.000000 96.000000

2 . 0000000

0.

5 . 0000000

10.000000 4.0000000

3 . 0000000

2 . 0000000

6 . 0000000

7 . 0000000

8 . 0000000

1 . 0000000

9 . 0000000

THE VALUES BELOW RESULTED FROM SORTING COLUMN 2 AND CARRYING ALONG THE CORRESPONDING VALUES OF COLUMNS 1 AND 3.

.12000000

3 . 5600000 30.000000

123.00000 2.1400000

1.0000000 5.78OOOO0

0.

8 . 9000000

9 . 0000000

0.

. 44000000

1 . 2450000

2 . 0000000

7.5800000

23 . 000000 45.000000

56.000000

78.000000

96 . 000000

9 . 0000000

10.000000

5 . 0000000

1 . 0000000

4 . 0000000

3 . 0000000

6 . 0000000

2 . 0000000

7 . 0000000

8 . 0000000

THE VALUES BELOW ARE THE SORTED VALUES OF THE ABOVE COLLINS.

0.

. 12000000

1 . 0000000

2.1400000

3.5600000

5 . 7800000

8 . 9000000

9 . 0000000

30.000000

123.00000

0.

. 44000000

1.2450000

2 . 0000000

7.5800000

23 . 000000

45 . 000000

56.000000 78.000000

96 . 000000

1 . 0000000

2 . 0000000

3 . 0000000 4.0000000

5 . 0000000

6 . 0000000

7 . 0000000

8 . 0000000

9 . 0000000

10.000000

•it*****************************************************************

THE FOLLOWING VALUES SHOULD BE CLOSE TO OR EQUAL TO ZERO.

0. 0. 0. ***************************************************************************

84
OMNITAB 80 TEST 23 HIERARCHY, ORDER AND SORT INSTRUCTIONS. (5.4) PAGE 2

LIST OF DATA, INSTRUCTIONS AND DIAGNOSTICS

SET THE FOLLOWING VALUES INTO COLUMN 1 30.0 3.56 2.14 1. 0.0 5.78 8.9 9 123. .12

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM TO 10.

SET THE FOLLOWING VALUES INTO COLUMN 2 1.245 .44 7.58 23 56 45 78 96 2

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM 10 TO 9.

RESET NRMAX TO 10

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM 9 TO 10.

HIERARCHY OF COLUMN 1 STORE LOCATIONS OF SMALLEST TO LARGEST INTO COL 3 AVERAGE OF COLUMN 1 AND STORE IN COLUMN 4 AVERAGE OF COLUMN 2 AND STORE IN COLUMN 5 AVERAGE OF COLUMN 3 AND STORE IN COLUMN 6 TITLE1 COLUMNS 1 AND 2 WERE DEFINED BY THE SET COMMAND. TITLE3 COLUMN 3 CONTAINS THE LOCATIONS OF THE SMALLEST TO LARGEST TITLE4VALUES OF COLUMN 1

.

PRINT THE VALUES IN COLUMNS 1***3 SORT COLUMN 2 AND CARRY ALONG THE CORRESPONDING VALUES OF COLUMNS 1 AND 3 AVERAGE OF COLUMN 1 STORE IN COL 7 AVERAGE OF COLUMN 2 STORE IN COL 8 SPACE AVERAGE OF COLUMN 3 STORE IN COL 9 NOTE THE VALUES BELOW RESULTED FROM SORTING COLUMN 2 AND CARRYING ALONG THE

NOTE CORRESPONDING VALUES OF COLUMNS 1 AND 3. SPACE NPRINT COLUMNS 1***3 WITHOUT HEADINGS ORDER COLUMNS 1***3 AVERAGE OF COLUMN 1 STORE IN COLUMN 10 AVERAGE OF COLUMN 2 STORE IN COLUMN 11 AVERAGE OF COLUMN 3 STORE IN COLUMN 12 SPACE NOTE THE VALUES BELOW ARE THE SORTED VALUES OF THE ABOVE COLUMNS. SPACE NPRINT COLUMNS 1***3 WITHOUT HEADINGS

SUBTRACT COL 4 FROM COL 7 AND STORE IN COL 13 SUBTRACT COL 8 FROM COL 11 STORE IN COL 14 SUBTRACT COL 6 FROM COL 12 STORE IN COL 15 SPACE 2 NOTE ***************************************************************************

SPACE NOTE THE FOLLOWING VALUES SHOULD BE CLOSE TO OR EQUAL TO ZERO. SPACE

85
OMNITAB 80 TEST 23 HIERARCHY, ORDER AND SORT INSTRUCTIONS. (5.4) PAGE 3

LIST OF DATA, INSTRUCTIONS AND DIAGNOSTICS

ABRIDGE ROW 1 OF COLUMN 13 14 15 SPACE

NOTE ***************************************************************************

NATIONAL BUREAU OF STANDARDS. WASHINGTON, D. C. 20234 OMNITAB 80 VERSION 6.00 MARCH 2, 1981

86
OMNITAB 80 TEST 24 CHOOSE, RETAIN, OMIT AND DELETE INSTRUCTIONS. (5.6) COLUMNS 5 AND 6 WERE DEFINED BY THE CHOOSE COMMAND. PAGE

COLUMN COLUMN COLUMN COLUMN COLUMN COLUMN

6.0000000

7.0000000

7.0000000

6.0000000

2 . 0000000

25.000000

23.000000

25.000000

25.000000

26.000000

40.000000

48 . 000000 40.000000

49 . 000000 40.000000

101.00000 -1.0000000

104.00000

109.00000

106.00000

6

6

6

6

6

0000000

0000000

0000000

0000000

0000000

6.0000000

7 . 0000000

7 . 0000000

6.0000000

7.0000000

7 . 0000000

6.0000000

6.0000000 6.0000000

7 . 0000000

24.000000

-3.0000000 25.000000

23 . 000000 24.000000

48 . 000000 40.000000

49.000000

-2.0000000

48 . 000000

102.00000 103.00000

108.00000

105.00000

108.00000

6 0000000 6.0000000

6.0000000

6.0000000

7 . 0000000

6.0000000

1.0000000 6.0000000

7.0000000

7.0000000

7 . 0000000

24 . 000000 25.000000

26.000000

25.000000

26.000000

48.000000

49.000000

-1.0000000 48.000000 49.000000

102.00000

101.00000 -1.0000000

103.00000

107.00000

7 . 0000000

7 . 0000000

7 . 0000000

0.

0. ***************************************************************************

THE FOLLOWING VALUES SHOULD BE CLOSE TO OR EQUAL 15.0, 6.0 AND 13.0.

15.000000 6.0000000 13.000000 ***************************************************************************

87
OMNITAB 80 TEST 24 CHOOSE, RETAIN, OMIT AND DELETE INSTRUCTIONS. (5.6) COLUMNS 5 AND 6 WERE DEFINED BY THE CHOOSE COMMAND. PAGE

COLUMN 1 COLUMN- COLUMN COLUMN- COLUMN 1

COLUMN 12 COLUMN 13 COLUMN 14

6 . 0000000

7.0000000

7 . 0000000

6 . 0000000

-2.0000000

25.000000

23.000000

25.000000

25.000000

26.000000

40.000000

48.000000

40.000000

49.000000

40 . 000000

101.00000 -1.0000000

104.00000 109.00000

106.00000

6.0000000

7.0000000

6.0000000

7 . 0000000

6 . 0000000

25 . 000000

25 . 000000

25 . 000000 24.000000

25.000000

40.000000

40.000000

49 . 000000 48.000000

49 . 000000

101. 00000

104.00000

109.00000

102.00000

108.00000

7 . 0000000

6 . 0000000

6.0000000 6.0000000

7.0000000

24.000000

-3 . 0000000

25.000000 23.000000

24.000000

48 . 000000 40.000000

49 . 000000

-2 . 0000000

48 . 000000

102.00000

103.00000

108.00000

105.00000

108.00000

7 . 0000000

6 . 0000000

7 . 0000000

7 . 0000000

24 . 000000 25.000000

25 . 000000

26.000000

48 . 000000 49.000000

48 . 000000

49 . 000000

108.00000

101.00000 103.00000

107.00000

-1.0000000

6 . 0000000

7 . 0000000

7.0000000

7 . 0000000

24.000000

25.000000

26.000000

25.000000 26.000000

48.000000

49 . 000000 -1.0000000 48.000000

49 . 000000

102.00000

101.00000 -1.0000000

103.00000

107.00000 ***************************************************************************

THE FOLLOWING VALUE SHOULD BE CLOSE TO OR EQUAL 9.0

9 . 0000000 ***************************************************************************
OMNITAB 80 TEST 24 CHOOSE, RETAIN, OMIT AND DELETE INSTRUCTIONS. (5.6) COLUMNS 5 THRU 8 WERE DEFINED BY THE OMIT COMMAND. PAGE 3

COLUMN COLUMN COLUMN COLUMN COLUMN COLUMN COLUMN COLUMN

6.0000000

7.0000000

7 . 0000000 6.0000000

2.0000000

25.000000 23.000000

25.000000

25 . 000000

26.000000

40.000000 48.000000

40.000000

49 . 000000 40.000000

101.00000 -1.0000000

104.00000

109.00000

106.00000

6.0000000

7.0000000

7.0000000

6.0000000

7.0000000

6.0000000

7 . 0000000

7 . 0000000

6.0000000

7 . 0000000

6.0000000

7 . 0000000

7 . 0000000

6.0000000

7 . 0000000

25 . 000000

23 . 000000

25 . 000000

25.000000

24.000000

7.0000000

6.0000000

6.0000000

6.0000000

7.0000000

24.000000

-3 . 0000000

25 . 000000 23.000000

24.000000

48 . 000000 40.000000

49.000000

-2 . 0000000

48 . 000000

102.00000 103.00000

108.00000

105.00000 108.00000

6.0000000 6.0000000

6.0000000

7.0000000 -1.0000000

6.0000000

6.0000000

6.0000000

7 . 0000000 6.0000000

6.0000000

6.0000000

6.0000000

7 . 0000000 -1.0000000

-3 . 0000000

25 . 000000 23.000000

24.000000

24.000000

1.0000000 6.0000000

7 . 0000000

7 . 0000000

7 . 0000000

24.000000

25.000000 26.000000

25.000000

26.000000

48 . 000000

49 . 000000 -1.0000000 48.000000

49 . 000000

102.00000 101.00000 -1.0000000

103.00000

107.00000

6.0000000

7 . 0000000

7 . 0000000

7.0000000

0.

7 . 0000000

7 . 0000000

7 . 0000000

0.

0.

6.0000000

7 . 0000000

7 . 0000000

7 . 0000000

0.

25.000000

26 . 000000 25.000000

26.000000

0. ***************************************************************************

THE FOLLOWING VALUES SHOULD BE CLOSE TO ARE EQUAL TO 15.0, 14.0 AND 13.0.

1 5 . 000000 14.000000 13.000000 it*************************************************************************

89
OMNI TAB 80 TEST 24 CHOOSE. RETAIN, OMIT AND DELETE INSTRUCTIONS. COLUMNS 11 THRU 18 WERE DEFINED BY THE DELETE COMMAND.

(5.6) PAGE

COLUMN COLUMN- COLUMN COLUMN 14 COLUMN COLUMN 16 COLUMN 17 COLUMN 18

6 0000000 25 000000 40 000000

7. 0000000 25 . 000000 40 000000

6 0000000 25 . 000000 49 000000

2 0000000 26 . 000000 40 . 000000

7 0000000 24 . 000000 48 . 000000

6 . 0000000 -3 . 0000000 40 . 000000

6 . 0000000 25 . 000000 49 . 000000

6 . 0000000 23 . 000000 -2 . 0000000

7 . 0000000 24 . 000000 48 . 000000

6 . 0000000 25 . 000000 49 . 000000

7 . 0000000 25 . 000000 48 . 000000

7 . 0000000 26 . 000000 49 . 000000

101.00000

104.00000

109.00000

106.00000 102.00000

103.00000

108.00000 105.00000

108.00000

101.00000

103.00000

107.00000

6 . 0000000

7 . 0000000

6 . 0000000

7 . 0000000

6 . 0000000

7 . 0000000

6 . 0000000

7 . 0000000

7 . 0000000

25.000000

25 . 000000 25.000000

24 . 000000 25.000000

24.000000

25.000000

25 . 000000

26.000000

40 . 000000

40 . 000000

49 . 000000

48 . 000000

49 . 000000

48 . 000000

49 . 000000

48 . 000000

49 . 000000

101. 00000

104.00000

109.00000

102.00000

108.00000

108.00000

101.00000

103.00000

107.00000

***************************************************************************

THE FOLLOWING VALUES SHOULD BE CLOSE TO OR EQUAL TO 12.0 AND 9.0.

12.000000 9 . 0000000 ***************************************************************************

90
OMNITAB 80 TEST 24 CHOOSE, RETAIN, OMIT AND DELETE INSTRUCTIONS. (5.6)

LIST OF DATA, INSTRUCTIONS AND DIAGNOSTICS

PAGE

EAD DATA INTO COLUMNS 1 2 : I AND 4

6 25 40 101

7 23 48 -1

7 25 40 104

6 25 49 109

-2 26 40 106

7 24 48 102

6 -3 40 103

6 25 49 108

6 23 -2 105

7 24 48 108

-1 24 48 102

6 25 49 101

7 26 -1 -1

7 25 48 103

7 26 49 107

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM TO 15.

RESET X TO * NRMAX*

TITLE1 COLUMNS 5 AND 6 WERE DEFINED BY THE CHOOSE COMMAND. CHOOSE ROWS WITH 6. IN COLUMN 1 AND PUT IN COLUMN 5

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM 15 TO 6.

RESET NRMAX TO **X**

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM 6 TO 15.

CHOOSE ROWS WITH VALUES BETWEEN 5. AND 8. IN COLUMN 1 AND PUT IN COL 6

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM 15 TO 13.

RESET NRMAX TO **X**

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM 13 TO 15.

PRINT COLUMNS 1 *** 6 COUNT LENGTH OF COLUMN 1 PUT IN COLUMN 60 DEFINE VALUE IN ROW 1 OF COL 60 INTO ROW 1 OF COL 51 COUNT LENGTH OF COLUMN 5 PUT IN COLUMN 60 DEFINE VALUE IN ROW 1 OF COL 60 INTO ROW 1 OF COL 52 COUNT LENGTH OF COLUMN 6 PUT IN COLUMN 60 DEFINE VALUE IN ROW 1 OF COL 60 INTO ROW 1 OF COL 53 SPACE

91
OMNIT.AB 80 TEST 24 CHOOSE. RETAIN. OMIT AND DELETE INSTRUCTIONS. (5.6) PAGE

LIST OF DATA, INSTRUCTIONS AND DIAGNOSTICS

\'0Tf ***************************************************************************

SPACE NOTE THE FOLLOWING VALUES SH0L1D BE CLOSE TO OR EQUAL 15.0. 6.0 AND 13.0. SPACE ABRIDGE RO* 1 OF COUMNS 51. 52 AND 53 SPACE

VOTE ***************************************************************************

RETAIN ALL VALUES BETWEEN 0. AND 200. IN COLS 1***4 PUT IN COLS 11***14

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM 15 TO 9.

RESET NRMAX TO **X**

* INFORMATIVE DIAGNOSTIC FOR THE .ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM 9 TO 15.

PRINT COLUMNS 1 *** 4 AND 11 *** 14 TITLE1 COLUMNS 11 THRU 14 WERE DEFINED BY THE RETAIN COMMAND. COUNT COLUMN 11 PIT IN COL 51 SPACE MQTP ***************************************************************************

SPACE NOTE THE FOLLOWING VALUE SHOULD BE CLOSE TO OR EQUAL 9.0 SPACE ABRIDGE ROW 1 OF COLUMN 51 SPACE

\QTE ***************************************************************************

TITLE1 COLUMNS 5 THRU 8 WERE DEFINED BY THE OMIT COMMAND. ERASE COLS 5. 6. 7 AND 8 OMIT ROWS WITH THE VALUE OF -2. IN COLUMN 1 AND PIT IN COLUMN 5

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM 15 TO 14.

RESET NRMAX TO **X**

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM 14 TO 15.

OMIT ROW'S WITH VALUES BETWEEN -10. AND 0. IN COLUMN 1 AND PUT IN COL 6

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM 15 TO 13.

RESET NRMAX TO **X**

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM 13 TO 15.

92
OMNITAB 80 TEST 24 CHOOSE, RETAIN, OMIT AND DELETE INSTRUCTIONS. (5.6) PAGE

LIST OF DATA, INSTRUCTIONS AND DIAGNOSTICS

OMIT ROWS WITH -2. IN COL 1 CORR ROW OF COL 2 PUT IN COLS 7 AND 8

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM 15 TO 14.

RESET NRMAX TO **X**

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM 14 TO 15.

PRINT COLUMNS 1 *** 8 COUNT LENGTH OF COLUMN 1 PUT IN COLUMN 60 DEFINE VALUE IN ROW 1 OF COL 60 INTO ROW 1 OF COL 51 COUNT LENGTH OF COLUMN 5 PUT IN COLUMN 60 DEFINE VALUE IN ROW 1 OF COL 60 INTO ROW 1 OF COL 52 COUNT LENGTH OF COLUMN 6 PUT IN COLUMN 60 DEFINE VALUE IN ROW 1 OF COL 60 INTO ROW 1 OF COL 53 SPACE

NOTE ***************************************************************************

SPACE NOTE THE FOLLOWING VALUES SHOULD BE CLOSE TO ARE EQUAL TO 15.0, 14.0 AND 13.0. SPACE ABRIDGE ROW 1 OF COLUMNS 51, 52 AND 53 SPACE

NOTE ***************************************************************************

TITLE1 COLUMNS 11 THRU 18 WERE DEFINED BY THE DELETE COMMAND. ERASE 11***18 DELETE ALL ROWS HAVING THE VALUE -1.0 IN COLS 1***4 PUT IN COLS 11***14

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM 15 TO 12.

RESET NRMAX TO **X**

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM 12 TO 15.

DELETE ALL VALUES BETWEEN -10. AND 0. IN COLS 1***4 PUT IN COLS 15***18

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM 15 TO 9.

RESET NRMAX TO **X**

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM 9 TO 15.

PRINT COLUMNS 11 *** 18 COUNT COLUMN 11 PUT IN COL 60 DEFINE VALUE IN ROW 1 OF COL 60 INTO ROW 1 OF COL 52

93
OMNI TAB 80 TEST 24 CHOOSE, RETAIN, OMIT AND DELETE INSTRUCTIONS. (5.6) PAGE 8

LIST OF DATA, INSTRUCTIONS AND DIAGNOSTICS

COUNT LENGTH OF COLUMN 15 PUT IN COLUMN 60 DEFINE VALUE IN ROW 1 OF COL 60 INTO ROW 1 OF COL 53 NOTE ***************************************************************************

SPACE NOTE THE FOLLOWING VALUES SHOULD BE CLOSE TO OR EQUAL TO 12.0 AND 9.0. SPACE ABRIDGE ROW 1 OF COLUMNS 52 AND 53 SPACE NOTE ***************************************************************************

NATIONAL BUREAU OF STANDARDS. WASHINGTON, D. C. 20234 OMNITAB 80 VERSION 6.00 MARCH .2, 1981

94
OMNI TAB 80 TEST 25 CODE, RECODE AND REPLACE INSTRUCTIONS. (5.6) PAGE 1 COLUMNS 2, 3 AND 4 WERE DEFINED BY THE CODE COMMAND.

COLUMN 1 COLUMN 2 COLUMN 3 COLUMN 4

12.600000 3 . 0000000 1.0000000 2 . 0000000

36.400000 8 . 0000000 6.0000000 7.0000000 27.100000 6.0000000 4.0000000 5.0000000 6.2000000 2.0000000 0. 1.0000000

3 . 7000000 1 . 0000000 0. 1 . 0000000 ***************************************************************************

THE FOLLOWING VALUE SHOULD BE CLOSE TO OR EQUAL TO ONE.

1 . 0000000 ***************************************************************************

95
OMNI TAB 80 TEST 25 CODE, RECODE AND REPLACE INSTRUCTIONS. (5.6) COLUMN 2 WAS DEFINED BY THE RECODE COMMAND. PAGE

COLUMN 1 COLUMN

+0 . 000000

48 . 000000

40 . 000000

49 . 000000

40 . 000000

1 . 0000000

2 . 0000000

1 . 0000000

3 . 0000000

1 . 0000000

48 . 000000 40.000000

49 . 000000

49 . 000000 48.000000

2 . 0000000

1 . 0000000

3 . 0000000

3 . 0000000

2 . 0000000

48 . 000000

49 . 000000

48.000000

48 . OOOOOO

49 . OOOOOO

2 . 0000000

3 . 0000000

2 . 0000000

2 . 0000000

3 . 0000000 ***************************************************************************

THE FOLLOWING VALUE SHOULD BE CLOSE TO OR EQUAL TO ONE.

1 . 0000000

96
OMNITAB 80 TEST 25 CODE, RECODE AND REPLACE INSTRUCTIONS. (5.6) PAGE COLUMNS 3 AND 5 WERE DEFINED BY THE REPLACE COMMAND.

COLUMN 1 COLUMN 2 COLUMN 3 COLUMN 4 COLUMN 5

-1.0000000 1.0000000 8.0000000 1.0000000 7.0000000 -9.0000000 2.0000000 -9.0000000 1.0000000 -9.0000000

2.0000000 1.0000000 2.0000000 1.0000000 7.0000000

5.0000000 3.0000000 5.0000000 1.0000000 5.0000000 -9.0000000 1.0000000 -9.0000000 1.0000000 -9.0000000 ***************************************************************************

THE FOLLOWING VALUE SHOULD BE CLOSE TO OR EQUAL TO ZERO.

0.

97
OMNITAB 80 TEST 25 CODE. RECODE AND REPLACE INSTRUCTION'S. (5.6) PAGE 4

LIST OF DATA. INSTRUCTIONS AND DIAGNOSTICS

TITLE 1 COLUMNS 2. 3 AND 4 WERE DEFINED BY THE CODE COMMAND.

SET DATA IN COLUMN 1 12.6 36.4 27.1 6.2 3.7

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM TO 5.

CODE COLUMN 1 STARTING AT 0.0 USING LENGTH 5.0 AND PUT CODE IN COLUMN 2 CODE COLUMN 1 STARTING AT 10.0 USING LENGTH 5.0 AND PLT CODE IN COLUMN" 3 CODE COLUMN 1 USING LENGTH 5.0 AND PUT CODE IN COLUMN 4 PRINT COLUMN'S 1, 2. 3 AND 4 SUBTRACT COLUMN" 4 FROM COLUMN 2 PLT RESULTS IN" COLUMN 5 SPACE NOTE ***************************************************************************

SPACE NOTE THE FOLLOWING VALUE SHOULD BE CLOSE TO OR EQUAL TO ONE. SPACE ABRIDGE ROW 1 OF COLUMN 5 SPACE NOTE ***************************************************************************

TITLE 1 COLUMN 2 WAS DEFINED BY THE RECODE COMMAND. SET DATA IN COLUMN 1 40 48 40 49 40 48 40 49 49 48 48 49 48 48 49

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM 5 TO 15.

RECODE COLUMN 1 INTO COLUMN" 2 PRINT COLUMNS 1 AND 2 SUM COLUMN 2 PIT RESULT IN COLUMN 3 SUBTRACT 1.0 FROM COLUMN 3 PLT RESULTS IN COLUMN 3 DIVIDE COLUMN" 3 BY 30.0 PIT RESUTT IN" COLUMN 4 SPACE NOTE ***************************************************************************

SPACE NOTE THE FOLLOWING VALUE SH0L1D BE CLOSE TO OR EQUAL TO ONE. SPACE ABRIDGE ROW 1 OF COLUMN 4 SPACE

\ 1 1 j

p ***************************************************************************

TITLE1 COLUMNS 3 AND 5 WERE DEFINED BY THE REPLACE COMMAND.

SET DATA IN" COLUMN" 1 -1-9 2 5 -9

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION" - NRMAX HAS BEEN" RESET FROM 15 TO 5.

REPLACE -1.0 IN COLUMN 1 BY 8.0 .AND PUT IN COLUMN 3 REPLACE VALUES FROM -3.0 TO -3.0 IN" COLUMN 1 BY 7 .0 AND PLT IN COLUMN" 5 PRINT COLUMNS 1.2 3. 4 AND 5

98
OMNITAB 80 TEST 25 CODE, RECODE AND REPLACE INSTRUCTIONS. (5.6) PAGE 5

LIST OF DATA, INSTRUCTIONS AND DIAGNOSTICS

SUBTRACT COLUMN 5 FROM COLUMN 3 PUT RESULTS IN COLUMN 6 SPACE NOTE ***************************************************************************

SPACE NOTE THE FOLLOWING VALUE SHOULD BE CLOSE TO OR EQUAL TO ZERO. SPACE ABRIDGE ROW 2 OF COLUMN 6 SPACE

NOTE ***************************************************************************

NATIONAL BUREAU OF STANDARDS. WASHINGTON, D. C. 20234 OMNITAB 80 VERSION 6.00 MARCH 2, 1981

99
OMNITAB 80 TEST 26 MAXIMUM AND MINIMUM INSTRUCTIONS. (6.1)

COLUMN'S 1 AND 2 WERE DEFINED BY READ COMMAND. COLUMNS 3 THROUGH 8 WERE DEFINED BY THE MAXIMUM AND MINIMUM COMMANDS. COLUMN 1 COLUMN 2 COLUMN 3 COLUMN 4 COLUMN 5

PAGE 1

COLUMN- COLUMN

1.2345000 4.5599999

213.45000 21.400000

4.5678000

5 . 4600000

7 . 8900000

0.

5 . 6000000 5.4450000

213.45000

213.45000

213.45000 213.45000

213.45000

8900000

8900000

8900000

8900000

8900000

4.5599999

4.5599999

4.5599999

4.5599999

4.5599999

1.2345000

1.2345000

1.2345000

1.2345000

1.2345000

213.45000

213.45000 213.45000

213.45000

213.45000

2.1110000 3.1121000 213.45000 7 . 8900000 4.5599999 1.2345000 213.45000 it*************************************************************************

THE FOLLOWING VALUE SHOULD BE CLOSE TO OR EQUAL TO 440.5845.

440.58450 ***************************************************************************

100
OMNITAB 80 TEST 26 MAXIMUM AND MINIMUM INSTRUCTIONS. (6.1) PAGE 2

LIST OF DATA, INSTRUCTIONS AND DIAGNOSTICS

READ THE FOLLOWING VALUES INTO COLUMNS 1 AND 2 1.2345 5.46 4.56 7.89 213.45 0.0

21.4 5.6

4.5678 5.445

2.111 3.1121

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM TO 6.

MAXIMUM VALUE OF COLUMN 1 IS STORED IN COLUMN 3 MAX OF COL 2 STORE IN COL 4 STORE CORRESPONDING VALUE OF COL 1 INTO COL 5 MINIMUM VALUE OF COLUMN 1 IS STORED IN COLUMN 6 MIN OF COL 2 STORE IN COL 7 STORE CORRESPONDING VALUE OF COL 1 INTO COL 8 TITLE1 COLUMNS 1 AND 2 WERE DEFINED BY READ COMMAND. TITLE3 COLUMNS 3 THROUGH 8 WERE DEFINED BY THE MAXIMUM AND MINIMUM

TITLE4 COMMANDS. PRINT THE VALUES IN COLUMNS 1***8 RESET NRMAX 1

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM 6 TO 1

ROWSUM COLUMNS 3 4 5 6 7 AND 8 STORE IN COL 9 SPACE

NOTE ***************************************************************************

SPACE NOTE THE FOLLOWING VALUE SHOULD BE CLOSE TO OR EQUAL TO 440.5845. SPACE ABRIDGE ROW 1 OF COLUMN 9 SPACE NOTE ***************************************************************************

NATIONAL BUREAU OF STANDARDS. WASHINGTON, D. C. 20234 OMNITAB 80 VERSION 6.00 MARCH 2, 1981

101
OMNI TAB 80 TEST 27 STATISTICAL ANALYSIS. (6.3) PAGE 1

STATISTICAL ANALYSIS OF COLUMN

NUMBER OF MEASUREMENTS 33, NO OF DISTINCT MEASUREMENTS = 22

FREQUENCY DISTRIBUTION WITH 10 CLASSES OF LENGTH .0045999944

1 1 2 2 3 8 10 3 2 1 FREQUENCY 2342714226 DISTRIBUTION OF LEAST SIGNIFICANT DIGIT (0,1,..., 9)

MEASURES OF LOCATION ARITHMETIC MEAN MEDIAN MID-RANGE

MID-MEAN (25 PERCENT TRIMMED MEAN) .

MEASURES OF DISPERSION

STANDARD DEVIATION

AS PERCENT OF MEAN (COEF. OF VAR.) RANGE

MEAN DEVIATION

INTER-QU.ARTILE RANGE VARIANCE

STANDARD DEVIATION OF MEAN

TREND STATISTICS

SLOPE, SIGNIFICANCE LEVEL QUADRATIC COEFF.. SIGNIFICANCE LEVEL OTHER TESTS FOR NON-RANDOMNESS

NUMBER OF RUNS LT AND DOWN. Z VALUE

MEAN SQUARE SUCCESSIVE DIFFERENCE . MS SUCC D IFF/2 (VAR LANCE). Z VALUE DEVIATIONS ROM ARITHMETIC MEAN NUMBER OF - SIGNS. - SIGNS . . . NUMBER OF RUNS. Z VALUE AUTOCORRELATION COEFFICIENT ....

7.8781212

7.8789999

7.8749999 7.8797646

.0092761682

.11774594 .045999944 .0069439772

.010999978 .000086047296

.0016147736

.00015708244 .363 .0000046544881 .820

21 -.283 .00020103107

1.1681428 1.004

13 20

19 .832 -.17578389

A TWO-SIDED 95 PERCENT CONFIDENCE INTERVAL FOR MEAN IS 7.8748320 TO 7.8814104

MEDIAN IS 7.8760000 TO 7.8830000

S.D. IS .0073879703 TO .012138986

THE

(DISTRIBUTION-FREE)

STATISTICAL TOLERANCE INTERVAL WITH 95 PERCENT CONFIDENCE FOR

50 PCT NORMAL COVERAGE IS 7.8701009 TO 7.8861415

95 PCT NORMAL COVERAGE IS 7.8548215 TO 7.9014209

99 PCT NORMAL COVERAGE IS 7.8475063 TO 7.9087361

INTERVAL FROM MIN TO MAX HAS DIST.-FREE COVERAGE 86.41

OTHER STATISTICS MINIMUM 7.8520000

SECOND MINIMUM 7.8609999 MAXIMUM 7.8979999

SECOND MAXIMUM 7 . 8900000

(MEAN-MINIMUM) /STANDARD DEVIATION . . 2.8159471 (MAXIMUM-MEAN)/STANDARD DEVIATION . . 2.1429910

SQRT(Bl). SK.EWNESS COEFFICIENT . . . . -.71451176

B2, KURTOSIS COEFFICIENT 3.7605827

LOWER QUART I LE 7.8730000

UPPER QUARTILE 7.8839999

102
OMNITAB 80 TEST 27 STATISTICAL ANALYSIS. (6.3) PAGE

STATISTICAL ANALYSIS OF COLUMN 2

NUMBER OF MEASUREMENTS = 33, NO. OF DISTINCT MEASUREMENTS = 22

FREQUENCY DISTRIBUTION WITH 10 CLASSES OF LENGTH .0045999944

1 1 2 2 3 8 10 3 2 1 FREQUENCY 2342714226 DISTRIBUTION OF LEAST SIGNIFICANT DIGIT (0,1,..., 9)

MEASURES OF LOCATION

ARITHMETIC MEAN

MEDIAN MID-RANGE

MID-MEAN (25 PERCENT TRIMMED MEAN) . .

MEASURES OF DISPERSION

STANDARD DEVIATION

AS PERCENT OF MEAN (COEF. OF VAR.) . RANGE

MEAN DEVIATION

INTER-QUARTILE RANGE VARIANCE

STANDARD DEVIATION OF MEAN

TREND STATISTICS

SLOPE, SIGNIFICANCE LEVEL QUADRATIC COEFF. , SIGNIFICANCE LEVEL . OTHER TESTS FOR NON-RANDOMNESS

NUMBER OF RUNS UP AND DOWN, Z VALUE . MEAN SQUARE SUCCESSIVE DIFFERENCE . . MS SUCC D IFF/2 (VARIANCE), Z VALUE . DEVIATIONS FROM ARITHMETIC MEAN NUMBER OF - SIGNS, + SIGNS ....

NUMBER OF RUNS, Z VALUE AUTOCORRELATION COEFFICIENT

7.8781212 7.8789999

7.8749999

7.8797646

.0092761682

.11774594 .045999944

.0069439772

.010999978 .000086047296

.0016147736

.00015708244

.0000046544881

.363 .820

21 .00020103107

1.1681428

-.283

1.004

1319-.17578389

20

.832

A TWO-SIDED 95 PERCENT CONFIDENCE INTERVAL FOR MEAN IS 7.8748320 TO 7.8814104

MEDIAN IS 7.8760000 TO 7.8830000

S.D. IS .0073879703 TO .012138986

THE

(DISTRIBUTION-FREE)

STATISTICAL TOLERANCE INTERVAL WITH 95 PERCENT CONFIDENCE FOR

50 PCT NORMAL COVERAGE IS 7.8701009 TO 7.8861415

95 PCT NORMAL COVERAGE IS 7.8548215 TO 7.9014209

99 PCT NORMAL COVERAGE IS 7.8475063 TO 7.9087361

INTERVAL FROM MIN TO MAX HAS DIST.-FREE COVERAGE 86.41

OTHER STATISTICS

MINIMUM 7.8520000

SECOND MINIMUM 7 . 8609999 MAXIMUM 7.8979999

SECOND MAXIMUM 7 . 8900000

(MEAN-MINIMUM) /STANDARD DEVIATION . . 2.8159471

(MAX I MUM-MEAN) /STANDARD DEVIATION . . 2.1429910

SQRT(Bl), SKEWNESS COEFFICIENT . . . . -.71451176

B2, KURTOSIS COEFFICIENT 3.7605827

LOWER QUARTILE 7.8730000

UPPER QUARTILE 7.8839999

103
OMNITAB 80 TEST 27 STATISTICAL ANALYSIS. (6.3) PAGE

OBSERVATIONS ORDERED OBSERVATIONS

I X(I) RANK X(I)-MEAN NO. X(J) X(J+1)-X(J)

1 7.8839999 25.5 .00587875 10 7.8520000 .00899994

2 7 . 8640000 3.5 -.0141212 21 7.8609999 .00300002

3 7.8789999 15.5 .000878751 2 7 . 8640000 0. 4 7 . 8720000 8.0 -.00612122 27 7 . 8640000 . 00300002

5 7 . 8780000 13.0 -.000121236 26 7 . 8670000 .00199997

6 7 . 8900000 32.0 .0118788 8 7 . 8690000 . 00200003

7 7.8740000 9.0 -.00412124 23 7.8710000 9.99987-04

8 7 . 8690000 6.0 -.00912124 4 7 . 8720000 .00199997

9 7.8830000 22.5 .00487876 7 7 . 8740000 . 00200003

10 7.8520000 1.0 -.0261212 13 7 . 8760000 0.

11 7.8860000 29.5 .00787878 16 7.8760000 9.99987-04

12 7 . 8820000 20.5 .00387877 25 7 . 8770000 9.99987-04

13 7 . 8760000 10.5 -.00212121 5 7 . 8780000 9.99987-04

14 7.8839999 25.5 .00587875 3 7.8789999 0. 15 7.8830000 22.5 .00487876 17 7.8789999 0. 16 7 . 8760000 10.5 -.00212121 20 7.8789999 0. 17 7.8789999 15.5 .000878751 33 7.8789999 .00100005

18 7.8850000 28.0 .00687879 30 7.8800000 9.99987-04

19 7.8839999 25.5 .00587875 22 7.8810000 9.99987-04

20 7.8789999 15.5 .000878751 12 7 . 8820000 0.

21 7 . 8609999 2.0 -.0171213 29 7 . 8820000 9.99987-04

22 7.8810000 19.0 .00287879 9 7.8830000 0. 23 7.8710000 7.0 -.00712121 15 7.8830000 9.99987-04

24 7.8979999 33.0 .0198787 1 7.8839999 0. 25 7.8770000 12.0 -.00112122 14 7.8839999 0. 26 7.8670000 5.0 -.0111212 19 7.8839999 0. 27 7 . 8640000 3.5 -.0141212 31 7.8839999 .00100005

28 7.8860000 29.5 .00787878 18 7.8850000 9.99987-04

29 7.8820000 20.5 .00387877 11 7 . 8860000 0. 30 7.8800000 18.0 .00187880 28 7 . 8860000 . 00300002

31 7.8839999 25.5 .00587875 32 7 . 8890000 9.99987-04

32 7.8890000 31.0 .0108788 6 7 . 8900000 .00799996

33 7.8789999 15.5 .000878751 24 7.8979999

FOLLOWING VALUES MUST BE EQUAL TO OR NEAR 7.580526, 7.87812, 0.0

AND 0.0 RESPECTIVELY.

7.5805213 7.8781212 *-l. 8062013-08 0. (ttttnitttttttttjjtmttttttttttttttttttMtttttjttnitttttttttiittjjtttitt

104
OMNITAB 80 TEST 27 STATISTICAL ANALYSIS. (6.3) PAGE 4

RANGE MEDIAN STANDARD DEV.

.045999944 7.8789999 .0092761681

••ft************************************************************************

FOLLOWING VALUES ALL MUST BE EQUAL TO OR NEAR ZERO.

0. 0. * 1.1641532-10 ***************************************************************************

105
OMNITAB 80 TEST 27 STATISTICAL ANALYSIS. (6.3) PAGE

COL 21 COL 22 COL 23

LOWER BOUNDARY UPPER BOUNDARY FREQUENCY

7 . 8494444

7.8545555 7.8596666

7.8647777 7.8698888

7.8749999 7.8801110

7.8852221 7.8903332

7.8954443

7.8545555 7.8596666

7.8647777 7.8698888

7.8749999

7.8801110

7.8852221 7.8903332

7.8954443 7.9005554

1 . 0000000

0.3.0000000 2.0000000

3 . 0000000

9.0000000

10.000000 4.0000000

0.1.0000000

THE RESULTS ABOVE IN COL 23 ARE DIFFERENT FROM THE FREQUENCIES IN THE STATISTICAL ANALYSIS PRINT OUT BECAUSE DIFFERENT METHODS FOR COMPUTING WERE USED.

***************************************************************************

THE FOLLOWING VALUES MUST BE EQUAL TO OR NEAR ZERO.

0. -.00022140890 ***************************************************************************

106
OMNITAB 80 TEST 27 STATISTICAL ANALYSIS. (6.3) PAGE

HISTOGRAM WITH MID-POINTS IN COLUMN 26 , FREQUENCIES IN COLUMN 23

MID-POINTS RCF CF RF FREQUENCY

1 20 7.8520000 .030 1 .030 1 + 7.8571111 .030 1 .000 7.8622222 .121 4 .091 3 +++ 7.8673333 .182 6 .061 2 ++ 7.8724444 .273 9 .091 3 +++ 7.8775555 .545 18 .273 9 +++++++++ 7.8826666 .848 28 .303 10 ++++++++++ 7.8877777 .970 32 .121 4 + + + + 7.8928888 .970 32 .000 7.8979999 1.000 33 .030 1 +

RCF = RELATIVE CUMULATIVE FREQUENCY

CF = CUMULATIVE FREQUENCY

RF = RELATIVE FREQUENCY

ABOVE PRINT OUT IS FROM HISTOGRAM COMMAND

107
OMNITAB 80 TEST 27 STATISTICAL ANALYSIS. (6.3) PAGE 7

LIST OF DATA, INSTRUCTIONS AND DIAGNOSTICS

SET IN COL 2 THE FOLLOWING DATA

7.884, 7.864, 7.879, 7.872, 7.878, 7.890, 7.874, 7.869, 7.883, 7.852

7.886, 7.882, 7.876, 7.884, 7.883, 7.876, 7.879, 7.885, 7.884, 7.879

7.861, 7.881, 7.871, 7.898, 7.877, 7.867, 7.864, 7.886, 7.882, 7.880

7.884, 7.889, 7.879

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM TO 33.

BRIEF STATISTICAL ANALYSIS OF COL 2 FULL STATISTICAL ANALYSIS OF COL 2 SSTATISTICAL ANALYSIS OF COL 2 STORE RESULTS IN COLS 3, 4, 5 AND 6 RANKS OF COL 2 STORE RESULTS IN COL 10 SUBTRACT COL 10 FROM COL 4 STORE IN COL 11 AVERAGE COL 11 STORE IN COL 11 AVERAGE COL 3 STORE IN COL 4 AVERAGE COL 5 STORE IN COL 5 AVERAGE COL 6 STORE IN COL 6 SPACE 2 NOTE ***************************************************************************

SPACE NOTE FOLLOWING VALUES MUST BE EQUAL TO OR NEAR 7.580526, 7.87812, 0.0

NOTE AND 0.0 RESPECTIVELY. SPACE ABRIDGE ROW 1 OF COLS 4 5 6 11 SPACE NOTE ***************************************************************************

RANGE OF NUMBERS IN COL 2 PUT IN COL 1 MEDIAN OF NUMBERS IN COL 2 PUT RESULT IN COL 41 STDDEVIATION OF NUMBER IN COL 2 PUT RESULT IN COL 42 NEW PAGE NOTE RANGE MEDIAN STANDARD DEV. SPACE ABRIDGE ROW 1 OF COLS 1 41 AND 42 SPACE 5 SUBTRACT COL 1 FROM VALUE IN *11,3* PUT IN COL 1 SUBTRACT COL 41 FROM VALUE IN *5,3* PUT IN COL 41 SUBTRACT COL 42 FROM VALUE IN *9,3* PUT IN COL 42 NOTE ***************************************************************************

SPACE

NOTE FOLLOWING VALUES ALL MUST BE EQUAL TO OR NEAR ZERO. SPACE ABRIDGE ROW 1 OF COLUMNS 1 41 42 SPACE NOTE ***************************************************************************

FREQUENCY OF COL 2, 10 CELLS LOWER BND IN COL 21 UPPER IN COL 22 FREQ IN COL 23

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM 33 TO 10.

108
OMNITAB 80 TEST 27 STATISTICAL ANALYSIS. (6.3) PAGE 8

LIST OF DATA, INSTRUCTIONS AND DIAGNOSTICS

MOVE ROW 51 OF COL 3 SIZE 10X1 TO ROW 1 OF COL 24 SUM COL 24 STORE IN COL 24 SUM COL 23 STORE IN COL 25 SUBTRACT COL 25 FROM COL 24 STORE IN COL 25 NEW PAGE NOTE COL 21 COL 22 COL 23 SPACE

NOTE LOWER BOUNDARY UPPER BOUNDARY FREQUENCY

SPACE NPRINT 21 22 23 ADD COL 21 TO COL 22 MULTIPLY BY .5 ADD 0.0 AND STORE IN COL 26 RESET NRMAX TO 1

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM 10 TO 1

SUBTRACT 1.0 FROM VALUE IN *2,3* STORE IN COL 30 SQUARE VALUE IN *21,3* STORE IN COL 31 F PROBABILITY OF 1.0 AND COL 30 DEG OF FREEDOM IN COL 31 STORE IN COL 32 SUBTRACT VALUE IN *22,3* FROM COL 32 STORE IN COL 32 SPACE

N0TE1 THE RESULTS ABOVE IN COL 23 ARE DIFFERENT FROM THE FREQUEN

N0TE2CIES IN THE STATISTICAL ANALYSIS PRINT OUT BECAUSE

PRINT NOTE

NOTE DIFFERENT METHODS FOR COMPUTING WERE USED. SPACE 2 NOTE ***************************************************************************

SPACE

NOTE THE FOLLOWING VALUES MUST BE EQUAL TO OR NEAR ZERO. SPACE ABRIDGE ROW 1 OF COL 25 32 SPACE

NOTE ***************************************************************************

RESET NRMAX TO 10

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM 1 TO 10.

HISTOGRAM MID PTS IN COL 26 FREQ. IN COL 23 SPACE 5 NOTE ABOVE PRINT OUT IS FROM HISTOGRAM COMMAND

NATIONAL BUREAU OF STANDARDS. WASHINGTON, D. C. 20234 OMNITAB 80 VERSION 6.00 MARCH 2, 1981

109
OMNITAB 80 TEST 28 POLYFIT INSTRUCTION. (6.4) EXAMPLE FROM NBS HANDBOOK 91, PAGE 6-27. PAGE 1

LEAST SQUARES FIT OF RESPONSE, COLUMN 2, AS A POLYNOMIAL OF DEGREE 3. INDEPENDENT VARIABLE IS COLUMN

USING 7 NON-ZERO WEIGHTS = 1.0000000

INDEP VAR.

IW COLUMN 1

1 10.000000

2 20.000000

3 30.000000

4 40.000000

5 50.000000

6 60.000000

7 70.000000

RESPONSE

COLUMN 2

3 . 4000000

1 1 . 700000 37.200000

80.099999

151.40000 253.20000

392 . 60000

PREDICTED STD. DEV. OF STD. RESPONSE PRED. RESPONSE RESIDUALS RES. WEIGHT!

3.2380953 .72044574 .16190474 .81 1.000 12.326190 .50285847 -.62619044 -1.13 1.000 36.290476 .50285847 .90952384 1.64 1.000 80.714285 .43165123 -.61428591 -1.01 1.000 151.18095 .50285847 .21904787 .40 1.000 253.27381 .50285847 -.073809660 -.13 1.000 392.57619 . 72044574 .023809552 .12 1.000

DIAGNOSTIC INFORMATION FOR IDENTIFYING INFLUENTIAL MEASUREMENTS.

I = ROW, FOR 7 LARGEST VALUES, T(I) = STANDARDIZED RESIDUAL,

H(I) = DIAGONAL OF HAT MATRIX, D(I) = COOK STATISTIC,

WSSD(I) = DANIEL-WOOD STATISTIC, V(I) = VAR(YHAT) / VAR (RES I DUAL )

I T(I) I H(I) I D(I) I WSSD(I) I V(I)

3 1.64 1 .929 1 2.13 7 87984.78 1 13.00

2 -1.13 7 .929 3 .56 1 21452.96 7 13.00

4 -1.01 2 .452 2 .26 2 18395.27 2 .83

1 .81 3 .452 4 .13 6 18395.27 3 .83

5 .40 5 .452 7 .05 3 11953.39 5 .83 6 -.13 6 .452 5 .03 4 3667.74 6 .83

7 .12 4 .333 6 .00 5 431.66 4 .50

THE DURBIN-WATSON STATISTIC IS D = 3.6324348

110
OMNITAB 80 TEST 28 POLYFIT INSTRUCTION. (6.4) EXAMPLE FROM NBS HANDBOOK 91, PAGE 6-27.

STANDARDIZED RESIDUALS VS ROW NUMBER

3 . 75 + + + X + +

PAGE 2

STANDARDIZED RESIDUALS VS PREDICTED RESPONSE

3 . 75 + + + X + + +

2.25+ + 2.25+

.75+' + .75+'

-.75+ + -.75+

-2.25+ + -2.25+

-3 . 75 + + + X + +- 1.0 4.0000 -+ -3.75 + +- 7.0 3.2381+000

-+ X +-

1.9791+002

-+ + 3.9258+002

STANDARDIZED RESIDUALS VS COLUMN 1 3 . 75 + + + X + + NORMAL PROBABILITY PLOT OF STANDARDIZED RESIDUALS

-+ 3.75 + + + X + + +

2.25+ + 2.25+

.75+" + .75 +

.75+ + -.75+

* *

-2.25+ + -2.25+

-3.75 + +- 1.0000+001

-+ —

+-

4.0000+001

.+ + _3 .75 + __ 7.0000+001 -2.5

.+ x +- 0.0 —

2.5

111
OMNITAB 80 TEST 28 POLYFIT INSTRUCTION. (6.4) EXAMPLE FROM NBS HANDBOOK 91, PAGE 6-27. PAGE

LEAST SQUARES FIT OF RESPONSE, COLUMN 2, AS A POLYNOMIAL OF DEGREE 3. INDEPENDENT VARIABLE IS COLUMN 1 USING 7 NON-ZERO WEIGHTS = 1.0000000

TERM

SAMPLE VARIANCE-COVARIANCE 12MATRIX OF THE ESTIMATED COEFFICIENTS WITH CORRELATIONS ABOVE THE DIAGONAL.

3

4.7113046 -.9547 .8960 -.8437

1 -.45382909 .047959634 -.9835 .9524

2 .011977894 -.0013264408 3.7929996-05 -.9912

3 -9.3161392-05 1.0610048-05 -3.1053798-07 2.5878165-09

THERE ARE NO REPLICATIONS FOR A LACK OF FIT ANALYSIS OF VARIANCE.

ANALYSIS OF VARIANCE -DEPENDENT ON ORDER INDEPENDENT VARIABLES ARE ENTERED, UNLESS VECTORS ARE ORTHOGONALTERM SS=RED. DUE TO COEF. CUM. RESIDUAL MS D.F. F(COEF=0) P(F) F(C0EFS=0) P(F)

123450.88

111232.82

14242.838

187.04163

20944.063

2886.3113 47.179633

.55896837

6 220854.850 .000 111416.669 .000

5 198996.625 .000 74937.274 .000

4 25480.580 .000 12907.599 .000

3 334.619 .000 334.619 .000

RESIDUAL 1.6769051

TOTAL 249115.26

ESTIMATES FROM LEAST SQUARES FIT

TERM COEFFICIENT S.D. OF COEFF. RATIO ACCURACY*

3.4428573

1 -.29900796

2 .018547619

3 .00093055554

2.1705540

.21899688 .0061587333 .000050870586

1.59 -1.37

3.01 18.29

6.24

6.05 6.32

7.03

RESIDUAL STANDARD DEVIATION = BASED ON DEGREES OF FREEDOM

.74764188

7 - 4 =

*THE NUMBER OF CORRECTLY COMPUTED DIGITS IN EACH COEFFICIENT USUALLY DIFFERS BY LESS THAN 1 FROM THE NUMBER GIVEN HERE.

THE NUMBER OF ITERATIONS WAS 2. SCALING WAS NOT USED. THE AVERAGE NUMBER OF DIGITS IN AGREEMENT BETWEEN INITIAL SOLUTION AND 1ST ITERATION IS 6.02.

112
OMNITAB 80 TEST 28 POLYFIT INSTRUCTION. (6.4) PAGE 4 EXAMPLE FROM NBS HANDBOOK 91, PAGE 6-27. ***************************************************************************

THE CORRECT COEFFICIENTS (TO 8 SIGNIFICANT DIGITS) FOR A THIRD

DEGREE POLYNOMIAL FIT TO THE GIVEN DATA ARE

3.4428571, -.29900794, .018547619 AND .00093055556.

THE CORRECT RESIDUAL STANDARD DEVIATION IS .74764180.

THE FOLLOWING VALUES MUST BE EQUAL TO OR NEAR ZERO.

0. *-3. 7252903-08 * 4.6566129-10 0. 0. ttttt»tt»ttttt»tt»*»»»*t*t»*»»t»*t*mtmt«*tt»«ttt«*t»t*t»t*tt**t»t*»t*»t

THE DATA USED ABOVE ARE FROM N. B. S. HANDBOOK 91, 'EXPERIMENTAL

STATISTICS,' PAGES 6-27.

THE RELATIONSHIP OF THE FOURIER COEFFICIENTS TO LEAST SQUARES PROBLEMS IS GIVEN IN DAVIS AND RABINOWITZ'S 'ADVANCES IN ORTHONORMALIZING

COMPUTATION,' A CHAPTER IN 'ADVANCES IN COMPUTERS,' EDITED BY FRANZ ALT, PUBLISHED BY ACADEMIC PRESS, 1961.

113
OMNITAB 80 TEST 28 POLYFIT INSTRUCTION. (6.4) EXAMPLE FROM NBS HANDBOOK 91, PAGE 6-27. PAGE 5

N COEFFS. $ RESIDUALS $$ SD OF PRED.Y FOURIER $$$

1.0 3.4428573 .16190474 . 72044574 * 1.2345088+05 2.0 -.29900796 -.62619044 .50285847 • 1.1123282+05

3.0 .018547619 .90952384 .50285847 * 1.4242838+04 4.0 * 9.3055554-04 -.61428591 .43165123 * 1.8704163+02

5.0 2.1705540 .21904787 .50285847 1.6769051

6.0 .21899688 -.073809660 .50285847 * 2.4911526+05

7.0 .0061587333 .023809552 .72044574

8.0 * 5.0870586-05

9.0 7.0000000

10. 4.0000000

11. 3.0000000

12. .74764188

13. .55896837

14. . 99998666

VARIANCE - COVARIANCE MATRIX.

1. 4.7113046 -.45382909 .011977894 * -9.3161392-05

2. -.45382909 .047959634 -.0013264408 • 1.0610048-05

3. .011977894 -.0013264408 «' 3.7929996-05 • -3.1053798-07

4. *-9. 3161392-05 * 1.0610048-05 *-3. 1053798-07 * 2.5878165-09

ABOVE OUTPUT IS A PRINT OUT OF THE INFORMATION STORED IN COLS 3-6, 11-14.

$ N=l,...,4 COEFFICIENTS.

N=5 8 STANDARD DEVIATIONS OF THE COEFFICIENTS.

N=9 NUMBER OF NON-ZERO WEIGHTS. N=10 DEGREE PLUS 1. N=ll DEGREES OF FREEDOM FOR RESIDUAL STANDARD DEV. N=12 RESIDUAL STANDARD DEV. N=13 RESIDUAL VARIANCE. N=14 MULTIPLE CORRELATION COEFF. SQUARED.

$$ N=l, ... ,7 RESIDUALS: DEVS. OF PRED. VALUES FROM MEASUREMENTS.

$$$ N=l , . .

. ,4 SQUARED FOURIER COEFFICIENTS.

N=5 RESIDUAL SUM OF SQUARES. N=6 TOTAL SUM OF SQUARES.

114
OMNITAB 80 TEST 28 POLYFIT INSTRUCTION. (6.4) PAGE

LIST OF DATA, INSTRUCTIONS AND DIAGNOSTICS

TITLE1EXAMPLE FROM NBS HANDBOOK 91, PAGE 6-27. SET X IN COLUMN 1 10 20 30 40 50 60 70

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM TO 7.

SET Y IN COLUMN 2 3.4 11.7 37.2 80.1 151.4 253.2 392.6 POLYFIT Y IN COL 2 WTS 1. DEG 3, X IN 1 PUT COEF 3 RES 4 SD PV 5 FC 6 VC (1 , 11)

$ SD PV DENOTES STANDARD DEVIATIONS OF PREDICTED VALUES

$ FC DENOTES FOURIER COEFFICIENTS

$ VC DENOTES VARIANCE COVARIANCE MATRIX

HEAD 4/RESIDUALS $$ HEAD 3/COEFFS. $ HEAD 5/SD OF PRED.Y HEAD 6/FOURIER $$$ NEW PAGE NOTE ***************************************************************************

SPACE NOTE THE CORRECT COEFFICIENTS (TO 8 SIGNIFICANT DIGITS) FOR A THIRD

NOTE DEGREE POLYNOMIAL FIT TO THE GIVEN DATA ARE

SPACE

NOTE 3.4428571, -.29900794, .018547619 AND .00093055556. NOTE

NOTE THE CORRECT RESIDUAL STANDARD DEVIATION IS .74764180. SPACE NOTE THE FOLLOWING VALUES MUST BE EQUAL TO OR NEAR ZERO. SPACE RESET NRMAX 1

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM 7 TO 1.

SUBTRACT 3.4428573 FROM VALUE IN *1,3* STORE IN COL 20 SUBTRACT -.29900792 FROM VALUE IN *2,3* STORE IN COL 21 SUBTRACT .018547619 FROM VALUE IN *3,3* STORE IN COL 22 SUBTRACT .93055555-3 FROM VALUE IN *4,3* STORE IN COL 23 SUBTRACT .74764188 FROM VALUE IN *12,3* STORE IN COL 24 ABRIDGE ROW 1 COL 20 *** 24 SPACE

NOTE ***************************************************************************

NOTE NOTE THE DATA USED ABOVE ARE FROM N. B. S. HANDBOOK 91, 'EXPERIMENTAL NOTE STATISTICS,' PAGES 6-27. NOTE

NOTE THE RELATIONSHIP OF THE FOURIER COEFFICIENTS TO LEAST SQUARES PROBLEMS IS NOTE GIVEN IN DAVIS AND RABINOWITZ'S 'ADVANCES IN ORTHONORMALIZING

NOTE COMPUTATION,' A CHAPTER IN 'ADVANCES IN COMPUTERS,' EDITED BY NOTE FRANZ ALT, PUBLISHED BY ACADEMIC PRESS, 1961.

115
OMNITAB 80 TEST 28 POLYFIT INSTRUCTION. (6.4)

LIST OF DATA, INSTRUCTIONS AND DIAGNOSTICS

PAGE

GENERATE FROM 1 IN STEPS OF 1 THRU 14 IN COL 20

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM 1 TO 14.

HEAD 20/ N PRINT COL 20 WITH 2. SIG DIGITS, COLS 3***6 WITH 8.0 SIG DIGITS

SPACE

NOTE VARIANCE - COVARIANCE MATRIX. SPACE RESET NRMAX 4

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM 14 TO 4.

NPRINT COL 20 WITH 1. SIG DIGIT, COLS 11***14 WITH 8.0 SIG DIGITS

SPACE 2 NOTE ABOVE OUTPUT IS A PRINT OUT OF THE INFORMATION STORED IN COLS 3-6, 11-14. SPACE N=l,...,4 COEFFICIENTS.

N=5 8 STANDARD DEVIATIONS OF THE COEFFICIENTS.

N=9 NUMBER OF NON-ZERO WEIGHTS. N=10 DEGREE PLUS 1. N=ll DEGREES OF FREEDOM FOR RESIDUAL STANDARD DEV. N=12 RESIDUAL STANDARD DEV. N=13 RESIDUAL VARIANCE. N=14 MULTIPLE CORRELATION COEFF. SQUARED.

NOTE $ NOTE NOTE

NOTE NOTE

NOTE

NOTE

NOTE SPACE

NOTE $$ SPACE

NOTE $$$ NOTE NOTE

N=l, ,7 RESIDUALS: DEVS. OF PRED. VALUES FROM MEASUREMENTS.

N=l , . .

. ,4 SQUARED FOURIER COEFFICIENTS.

N=5 RESIDUAL SUM OF SQUARES. N=6 TOTAL SUM OF SQUARES.

NATIONAL BUREAU OF STANDARDS. WASHINGTON, D. C. 20234 OMNITAB 80 VERSION 6.00 MARCH 2, 1981

116
OMNITAB 80 TEST 29 ONEWAY AND SONEWAY INSTRUCTIONS. AUTOMATIC OUTPUT FROM THE COMMAND ONEWAY.

(6.6) PAGE 1

ONEWAY ANALYSIS OF 30 MEASUREMENTS IN COLUMN 1 CLASSIFIED INTO 6 GROUPS WITH NUMBERS IN COLUMN 2

I ANALYSIS OF VARIANCE I

SOURCE D.F. SUMS OF SQUARES MEAN SQUARES F RATIO PROB.

BETWEEN GROUPS

SLOPE ABOUT LINE WITHIN GROUPS

TOTAL

5

14 24

29

1320.0000

1282.5714 37.428574

888.00000

2208 . 0000

264.00000

1282.5714 9.3571434

37 . 000000

7.135 .000 38.806 .000

.253 .905

KRUSKAL-WALLIS RANK TEST FOR DIFFERENCE BETWEEN MEANS SIGNIFICANCE LEVEL IS APPROXIMATELY .001

I ESTIMATES I

GROUP NO. MEAN MINIMUM MAXIMUM SUM RANKS

12

34

56

TOTAL

5

5

5

5

5

5

30

45 . 000000

51.000000 55.000000

58.000000

63 . 000000

64.000000

56.000000

40.000000

45.000000

45.000000

52.000000

56.000000

57.000000

40.000000

51.000000

58.000000

63 . 000000

65 . 000000

71.000000

70.000000

71.000000

23. 5L 52.0

74.0

86.5

111.5

117. 5H

GROUP WITHIN S.D. S.D. OF MEAN 95 PCT CONF INT FOR MEAN

12

34

56 MODEL

FIXED RANDOM UNGROUPED

4.3011627

6.0415230

7.6485293 6.0415230 6.6708320

5 . 2440442

6.0827625

7.2663608

8.7257051

1.9235384 2.7018512

3.4205263 2.7018512

2.9832868

2.3452079

1.1105554 2.9664794

1.5930885

39.659488 TO 43.498580 TO

45.503251 TO

50.498580 TO

54.717203 TO

57.488766 TO

50.340512 58.501420

64.496749

65.501419

71.282797

70.511234

53.707927 TO 58.292073 48.374538 TO 63.625462

52.741768 TO 59.258232

117
OMNITAB 80 TEST 29 ONEWAY AND SONEWAY INSTRUCTIONS. (6.6) AUTOMATIC OUTPUT FROM THE COMMAND ONEWAY. PAGE

I PAIRWISE MULTIPLE COMPARISION OF MEANS I

THE MEANS ARE PUT IN INCREASING ORDER IN GROUPS SEPARATED BY ***. A MEAN IS ADJUDGED NON-SIGN I FICANTLY DIFFERENT FROM ANY MEAN IN THE SAME GROUP AND SIGNIFICANTLY DIFFERENT AT THE .05 LEVEL FROM ANY MEAN IN ANOTHER GROUP. ***** INDICATES ADJACENT GROUPS HAVE NO COMMON MEAN.

- NEWMAN-KEULS TECHNIQUE, HARTLEY MODIFICATION - (APPROXIMATE, IF THE NUMBERS OF MEASUREMENTS IN THE GROUPS DIFFER)

45.000000,

*** 51.000000,

*** 55.000000,

51.000000

55.000000, 58.000000

58.000000, 63.000000, 64.000000

- SCHEFFE TECHNIQUE -

51.000000, 55.000000, 58.000000

51.000000, 55.000000, 58.000000, 63.000000, 64.000000

45.000000

***

I TESTS FOR HOMOGENEITY OF VARIANCES I

COCHRAN'S C = MAX VARIANCE/SUM( VARIANCES) = .2635, APPROX SL BARTLETT-BOX F = .272, SIGNIFICANCE LEVEL = .929 MAXIMUM VARIANCE / MINIMUM VARIANCE = 3.1621621

.853

I MODEL II - COMPONENTS OF VARIANCE I

ESTIMATE OF BETWEEN COMPONENT OF VARIATION IS 45.400000

118
OMNITAB 80 TEST 29 ONEWAY AND SONEWAY INSTRUCTIONS. (6.6) AUTOMATIC OUTPUT FROM THE COMMAND ONEWAY. PAGE 3

I BOX PLOTS I

40.000000 55.500000

GROUP NO. + 1 + 1 1- 71.000000

-I +

I I 5 *__H M HI I

I —H M

I

I M HI

* HM

I

I --H

I

IH—

I

IH—

I

119
OMNITAB 80 TEST 29 ONEWAY AND SONEWAY INSTRUCTIONS. (6.6) PAGE 4

a.**************************************************************************

THE FOLLOWING VALUES MUST BE EQUAL TO OR NEAR ZERO.

0. 0. 0. 0. J**************************************************************************

120
OMNITAB 80 TEST 29 ONEWAY AND SONEWAY INSTRUCTIONS. (6.6) PAGE 5

LIST OF DATA, INSTRUCTIONS AND DIAGNOSTICS

SET THE FOLLOWING DATA IN COL 1 40,51,42,47,45,57,47,58,48,45

49,60,58,45,63,55,64,65,54,52

56,71,58,61,69,61,68,70,64,57

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM TO 30.

SET THE FOLLOWING DATA IN COL 2 1,1,1,1,1,2,2,2,2,2,3,3,3,3,3

4,4,4,4,4,5,5,5,5,5,6,6,6,6,6

TITLE1 AUTOMATIC OUTPUT FROM THE COMMAND ONEWAY. ONEWAY ANALYSIS OF DATA IN COL 1 PUT TAG IN COL 2 AND STATISTICS IN COLS 11***14 SONEWAY ANALYSIS OF COL 1, PUT TAG IN COL 2 AND STATISTICS IN COLS 21***24

1/SUB COL 11 FROM COL 21 STORE IN COL 21 2/AVERAGE COL 21 STORE IN COL 21 3/INCREMENT INSTRUCTION 1 BY 1 , 1 AND 1 4/INCREMENT INSTRUCTION 2 BY 1 AND 1 REPEAT INSTRUCTIONS 1 THRU 4, 4 TIMES

TITLE

NEW PAGE SPACE 2 NOTE ***************************************************************************

SPACE NOTE THE FOLLOWING VALUES MUST BE EQUAL TO OR NEAR ZERO. SPACE ABRIDGE 1 21***24

SPACE 1 NOTE ***************************************************************************

NATIONAL BUREAU OF STANDARDS. WASHINGTON, D. C. 20234 OMNITAB 80 VERSION 6.00 MARCH 2, 1981

121
OMNITAB 80 TEST 30 TWOWAY AND STWOWAY INSTRUCTIONS. (6.6) PAGE 1

ANALYSIS OF VARIANCE FOR TWOWAY 3X4 TABLE OF COLUMN 11

SOURCE D.F. SUMS OF SQUARES MEAN SQUARES F RATIO F PROB.

BETWEEN ROWS 2 7.1666666 3.5833333 .942 .528 BETWEEN COLS 3 24.916667 8.3055556 2.182 .191 RESIDUALS 6 22.833333 3.8055555 TOTAL 11 54.916667

TUKEY'S TEST FOR NON-ADDITIVITY

NON-ADDITIVITY

BALANCE

RESIDUALS

7.9069895

14.926344 22.833333

7.9069895 2.9852688

3.8055555

2.649 165

COEFFICIENT ESTIMATE RANK SUM

GRAND MEAN 2.4166667

ROW 1 ROW 2 ROW 31.0833333 H -.66666666L -.4166666610. OH 7.0L

7.0L

COLUMN 1 COLUMN 2 COLUMN 3 COLUMN 4

2.2500000 H -1.4166667 L -1.0833333

.25000001

11. OH

5.0L

5.0L 9.0

SAMPLE STANDARD DEVIATIONS

GRAND MEAN = .56314263 ROW EFFECT = .79640394 COL EFFECT = .97539166 RESIDUAL = 1.9507833

RANK SUM TEST STATISTICS . .

ROWS - KENDALL W = .188 FRIEDMAN CHISQ = 1 . 500 COLS - KENDALL W = .600 FRIEDMAN CHISQ = 5.400 3X4 TABLE OF RESIDUALS, STANDARDIZED BY DIVIDING EACH RESIDUAL BY ITS STANDARD DEVIATION.

COLUMN

ROW

1 2 3 4

1 1.63 -.06 -1.03 -.54

2 -1.45 .48 -.48 1.45

3 -.18 -.42 1.51 -.91

THE ABOVE OUTPUT IS FROM THE COMMAND TWOWAY.

122
OMNITAB 80 TEST 30 TWOWAY AND STWOWAY INSTRUCTIONS. (6.6) PAGE 2

***************************************************************************

THE FOLLOWING VALUES MUST BE EQUAL TO OR NEAR ZERO.

0. 0. 0.

0. 0. 0. **t*tt*t*>tttttttt>tf*«t«t*tt*«l*ttttttt«tt«l>««Mtt«t«t*ttttttt«ttt<«tM«t

123
OMNITAB 80 TEST 30 TWOWAY AND STWOWAY INSTRUCTIONS. (6.6) PAGE 3

LIST OF DATA. INSTRUCTIONS AND DIAGNOSTICS

SET DATA IN COLUMN 11 8 2 13

2 10 4

4 3 1

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM TO 12.

TWOWAY ANALYSIS FOR 3 BY 4 TABLE, DATA IN COL 11. STORE IN 31 AND SUCC. COLS SFIT Y IN COL 11 WTS=1. FOR 6 V.AR. IN COLS 31***36 PUT IN COLS 41***44 R=1,C=45

RESET NRMAX 40

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM 12 TO 40.

1 /SUBTRACT COL 38 FROM COL 42. PUT IN COL 51 2/INCREMENT INSTRUCTION 1 BY 1 . 1 ANT) 1 3/AVERAGE COL 51 STORE IN COL 51 4/INCREMENT INSTRUCTION 3 BY 1 AND 1 PERFORM INSTRUCTIONS 1 THRU 4, 3 TIMES

SPACE 2 NOTE THE ABOVE OUTPUT IS FROM THE COMMAND TO* AY. NEW PAGE

\QTP ***************************************************************************

SPACE NOTE THE FOLLOWING VALUES MUST BE EQUAL TO OR NEAR ZERO. SPACE ABRIDGE ROW 1 OF COLS 51 52 53 MOVE DATA IN ROW 1 OF COL 37 SIZE 30X4 TO ROW 1 OF COL 41 RESET NRMAX 12

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM 40 TO 12.

STWOWAY ANALYSIS FOR 3 BY 4 TABLE. DATA IN COL 11, STORE IN 31 AND SUCC. COLS RESET NRMAX 40

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM 12 TO 40.

1 /SUBTRACT COL 38 FROM COL 42, PUT IN COL 51 3/AVERAGE COL 51 STORE IN COL 51 PERFORM INSTRUCTIONS 1 THRU 4, 3 TIMES ABRIDGE ROW 1 OF COLS 51 52 53 SPACE NOTE ***************************************************************************

NATIONAL BUREAU OF STANDARDS. WASHINGTON. D. C. 20234 OMNITAB 80 MRS ION 6.00 MARCH 2, 1981

124
OMNITAB 80 TEST 31 CORRELATION AND SCORRELATION INSTRUCTIONS. (6.7) PAGE 1

CORRELATION ANALYSIS FOR 7 VARIABLES WITH 16 OBSERVATIONS

SIMPLE CORRELATION COEFFICIENTS

COLUMN 12 3 4 5 6

1 1.0000

2 .9916 1.0000

3 .6206 .6043 1.0000

4 .4647 .4464 -.1774 1.0000

5 .9792 .9911 .6866 .3644 1.0000

6 .9911 .9953 .6683 .4172 .9940 1.0000

.9708 .9835 .5024 .4570 .9604 .9713

COLUMN

8 1.0000

SIGNIFICANCE LEVELS OF SIMPLE CORRELATION COEFF'S (ASSUMING NORMALITY)

COLUMN 12 3 4 5 6

1 .0000

2 .0000 .0000

3 .0103 .0132 .0000

4 .0697 .0830 .5109 .0000

5 .0000 .0000 .0033 .1652 .0000

6 .0000 .0000 .0047 .1078 .0000 .0000

8 .0000 .0000 .0473 .0751 .0000 .0000

COLUMN 8

8 . 0000

PARTIAL CORRELATION COEFFICIENTS WITH 5 REMAINING VARIABLES FIXED

COLUMN 12 3 4 5 6

1 1.0000

2 .6296 1.0000

3 .3712 -.7952 1.0000

4 .2316 -.5177 -.8783 1.0000

5 -.6525 .7592 .3876 .0391 1 . 0000

6 -.1560 .7213 .9376 .8527 -.1753

8 .0554 -.3344 -.8080 -.8479 -.0717

COLUMN 8

8 1.0000

1.0000

.7993

125
OMNITAB 80 TEST 31 CORRELATION AND SCORRELATION INSTRUCTIONS. (6.7) PAGE

SIGNIFICANCE LEVELS OF PARTIAL CORRELATION COEF'S (ASSUMING NORMALITY)

COLUMN 12 3 4 5 6

1 .0000

2 .0379 .0000

3 .2610 .0034 .0000

4 .4931 .1029 .0004 .0000

5 .0295 .0067 .2389 .9091 .0000

6 .6468 .0122 .0000 .0009 .6061 .0000

8 .8715 .3148 .0026 .0010 .8340 .0032

COLUMN 8

8 .0000

SPEARMAN RANK CORRELATION COEFFICIENTS (ADJUSTED FOR TIES)

COLUMN 12 3 4 5

1 1.0000

2 .9971 1.0000

3 .6647 .6382 1.0000

4 .2206 .2235 -.3412 1.0000

5 .9971 .9941 .6853 .2265 1.0000

6 .9971 .9941 .6853 .2265 1.0000 1 . 0000

8 .9824 .9853 .5647 .2265 .9765 .9765

COLUMN 8

8 1.0000

SIGNIFICANCE LEVEL OF QUADRATIC FIT OVER LINEAR FIT

BASED ON F RATIO WITH 1 AND 13 DEGREES OF FREEDOM

(FOR EXAMPLE . 1099 IS THE SIGNIFICANCE LEVEL OF THE QUADRATIC TERM WHEN COLUMN 2 IS FITTED TO COLUMN 1)

COLUMN 12 3 4 5

1 1.0000 .0465 .4560 .0001 .0009 .1908

2 .1099 1 . 0000 .5834 .0001 .0068 .6670

3 .0560 .1795 1.0000 .0028 .4280 .1796

4 .0007 .0018 .2827 1.0000 .0108 .0030

5 .0013 .0027 .5545 .0002 1.0000 .0000

6 .0896 .8106 .6234 .0001 .0000 1 . 0000

8 .8852 .3038 .7556 .0001 .0444 .6047

126
OMNITAB 80 TEST 31 CORRELATION AND SCORRELATION INSTRUCTIONS. (6.7) PAGE

COLUMN

1 .6482

2 .4973

3 .1435

4 .0006

5 .0920

6 .5806

8 1 . 0000

CONFIDENCE INTERVALS FOR SIMPLE CORRELATION COEFF'S (FISHER APPROX.)

95 PER CENT LIMITS BELOW DIAGONAL, 99 PER CENT LIMITS ABOVE DIAGONAL

COLUMN 1 2 3 4 5 6

1 99.0000

95.0000

.9980

.9654

.8938

.0116 .8390 -.2080

.9950

.9158 .9979 .9636

2 .9972

.9753 99 . 0000

95 . 0000

.8884 -.0146

.8320 -.2300.9979

.9633 .9989.9804

3 .8537

.1804

.8464 .1550 99.0000

95.0000

.4893 -.7132.9147

.1263 .9090

.0929

4 .7806 -.0402.7714 -.0633.3490 -.618799 . 0000

95 . 0000

.7992 -.3207.8206 -.2637

5 .9929

.9394 .9970.9738

.8821 .2893 .7285 -.160299 . 0000

95 . 0000

.9985 .9750

6 .9970

.9740

.9984 .9860.8743 .2580.7565 -.0989.9980

.9822 99 . 000095 . 0000

8 .9900

.9157 .9944

.9518

.7991 .0090

.7767

- . 0500

.9865

.8869

.9902

.9171

COLUMN 8

1 .9929 .8834

2 .9960

.9329

3 .8530 -.1605

4 .8361 -.2174

5 .9904

.8444

127
OMNITAB 80 TEST 31 CORRELATION AND SCORRELATION INSTRUCTIONS. (6.7) PAGE 4

6 .9930

.8853

99.0000

95.0000

128
OMNITAB 80 TEST 31 CORRELATION AND SCORRELATION INSTRUCTIONS. (6.7) PAGE 5

THE OUTPUT ON THE PREVIOUS PAGE IS THE AUTOMATIC PRINT OUT OF CORRELATION. THE DATA USED IN THIS PROBLEM WAS TAKEN FROM AN ARTICLE BY JAMES W. LONGLEY IN 'JOURNAL OF THE AMERICAN STATISTICAL

ASSOCIATION', VOL. 62, (1967), PAGES 819-841.

*»**********» »** ***»*»*»•»•»*»»*»**»•«*»»»»«»*»«•«•*•«******«*»****»«**»*»****»*««««»****«*»**»»*»************»***

THE FOLLOWING VALUES MUST BE EQUAL TO OR NEAR ZERO.

0. 0. 0. 0. 0. 0. 0.

129
OMNITAB 80 TEST 31 CORRELATION AND SCORRELATION INSTRUCTIONS. (6.7)

LIST OF DATA, INSTRUCTIONS AND DIAGNOSTICS

PAGE 6

READ DATA INTO COLS 1***8 83.0 234289 2356 1590 107608 1947 347873.0 60343

88.5 259426 2325 1456 108632 1948 373875.5 61122

88.2 258054 3682 1616 109773 1949 375162.2 60171 96.2 328975 2099 3099 112075 1951 448295.2 63221 89.5 284599 3351 1650 110929 1950 402568.5 61187

98.1 346999 1932 3594 113270 1952 467845.1 63639

99.0 365385 1870 3547 115094 1953 487948.0 64989

100.0 363112 3578 3350 116219 1954 488313.0 63761

101.2 397469 2904 3048 117388 1955 522865.2 66019

104.6 419180 2822 2857 118734 1956 545653.6 67857

108.4 442769 2936 2798 120445 1957 571013.4 68169

110.8 444546 4681 2637 121950 1958 575882.8 66513

112.6 482704 3813 2552 123366 1959 614506.6 68655

114.2 502601 3931 2514 125368 1960 636488.2 69564

115.7 518173 4806 2572 127852 1961 655479.7 69331

116.9 554894 4007 2827 130081 1962 693887.9 70551

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM TO 16.

CORRELATION 7 VARIABLES IN COLS 1***6, 8 PUT IN ROW 1 OF COL 9, ROW 8 OF COL 9 SCORRELATION 7 VARIABLES IN COLS 1***6,8 PUT IN ROW 1 COL 19 AND ROW 8 COL 19 RESET NRMAX TO 14

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM 16 TO 14.

NEW PAGE

NOTE i***************************************************************************

N0TE2* **************************************************** ******** PRINT NOTE

SPACE

NOTE THE OUTPUT ON THE PREVIOUS PAGE IS THE AUTOMATIC PRINT OUT OF CORRELATION. NOTE THE DATA USED IN THIS PROBLEM WAS TAKEN FROM AN ARTICLE BY NOTE JAMES W. LONGLEY IN 'JOURNAL OF THE AMERICAN STATISTICAL

NOTE ASSOCIATION', VOL. 62, (1967), PAGES 819-841. SPACE PRINT NOTE

1 /SUBTRACT COL 9 FROM COL 19 STORE IN COL 19 2/AVERAGE COL 19 STORE IN COL 19 3/INCREMENT INSTRUCTION 1 BY 1 1 AND 1 4/ INCREMENT INSTRUCTION 2 BY 1 AND 1 REPEAT INSTRUCTIONS 1 THRU 4, 7 TIMES

SPACE 2 PRINT NOTE

SPACE NOTE THE FOLLOWING VALUES MUST BE EQUAL TO OR NEAR ZERO. SPACE ABRIDGE ROW 1 COLS 19 *** 25

130
OMNITAB 80 TEST 31 CORRELATION AND SCORRELATION INSTRUCTIONS. (6.7) PAGE

LIST OF DATA, INSTRUCTIONS AND DIAGNOSTICS

SPACE PRINT NOTE

NATIONAL BUREAU OF STANDARDS. WASHINGTON, D. C. 20234 OMNITAB 80 VERSION 6.00 MARCH 2, 1981

131
OMNITAB 80 TEST 32 CONTINGENCY TABLE ANALYSIS. (6.8) PAGE

CONTINGENCY TABLE .ANALYSIS OF 5 BY 3 TABLE. OBSERVED COUNTS IN COLUMNS 1 1 TO 13. SHOWING HYPOTHESIS IS P(IJ) = P(I.)P(.J).

OBSERVED COUNT EXPECTED COUNT

DIFFERENCE

COL R0*11

13.29

TOTALS

-2.03

22

12

12.99

5.24

20

13

116.72

-2.29 -1.99 4.28

12.78 2.53105.69

-1.78 -2.53 4.31

87.08

46.44

1614.48

.92 -2.44 1.52

115.82

75.29

5 11.90

5.18 1.71 -6.90

13.0382.76

36.21

-3.21

45

TOTALS

13

28

23

12

87

FREEMAN-TUKEY DEVIATES

COL 11 12 13 ROW

1 -1.35 -1.18 1.50

2 -1.07 -2.33 1.60

3 .41 -.94 .45 4 1.85 .77 -2.28

5 -1.21 2.36 -1.35

REFERENCE. FREEMAN, M. F. AND TUKEY, J. W. (1950). TRANSFORMATIONS

RELATED TO THE ANGULAR AND THE SQUARE ROOT. ANN. MATH. STATIST. ,21 , 607.

132
OMNITAB 80 TEST 32 CONTINGENCY TABLE ANALYSIS. (6.8) PAGE

ANALYSIS OF INFORMATION TABLES

INDEPENDENCE

COMPONENT DUE LIKELIHOOD CHI-SQUARED CHI-SQUARED

TO HYPOTHESIS INFORMATION VALUE D.F. PROBABILITY

P(IJ) = 1/15 61.976 14 .000

P(I.) = 1/5 P(.J) = 1/3 P(IJ) = P(I.)P(.J)12.891 12.525 36.560

4

2

8

.012

.002 .000

(PEARSON CHI -SQUARED

HOMOGENEITY

35.923

OF R SAMPLES

8 .000)

P(RJ) = 1/3 EACH SAMPLE 49.085 10 .000

P( J) = 1/3 ALL SAMPLES HOMOGENEITY OF R SAMPLES

12.525 36.5602

8 .002 .000

(PEARSON CHI-SQUARED 35.923 8 .000)

REFERENCE . .

.

KU, H. H., VARNER, R. N. , AND KULLBACK, S. (1971). ON THE ANALYSIS OF MULTIDIMENSIONAL CONTINGENCY TABLES, J. AMER. STATIST. ASSOC. ,66,55.

ASYMPTOTIC

MEASU1fcES OF ASSOCIATION VALUE STANDARD ERROR RATIO

BASED ON CHI-SQUARED STATISTIC

PHI (CRAMER) .454 CONTINGENCY COEFFICIENT .541

BASED ON RANK ORDER CORRELATION

KENDALL'S TAU -.344 .073 -4.713 SPEARMAN'S RHO -.422 .098 -4.289 KRUSKAL'S GAMMA -.478 .100 -4.795

BASED ON PROBABILITY OF PREDICTION

LAMBDA A .119 .088 1.353 LAMBDA B .262 .103 2.531 LAMBDA .178 .089 1.998

NOTE . . . DISCUSSIONS OF THESE MEASURES AND FORMULAS FOR COMPUTING

STANDARD ERRORS MAY BE FOUND IN . .

.

GOODMAN, L. A. AND KRUSKAL, W. H. , MEASURES OF ASSOCIATION FOR CROSS CLASSIFICATIONS. PART I, II, AND III, J. OF AMER. STATIST. ASSOC.

VOL. 49,732. (1954). VOL. 54,123. (1959), VOL. 58,310 (1963).

KENDALL, M. AND STUART, A. (1973). THE ADVANCED THEORY OF STAT., V 2.

HAYS, W. L. (1973). STATISTICS FOR THE SOCIAL SCIENCES. 2ND ED.

133
OMNITAB 80 TEST 32 CONTINGENCY TABLE ANALYSIS. (6.8) PAGE 3

LIST OF DATA, INSTRUCTIONS AND DIAGNOSTICS

READ DATA INTO COLUMNS 11, 12 AND 13

1 1 11

1 10

8 4 16 117 5

1 8 3

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM TO 5.

CONTINGENCY TABLE ANALYSIS OF 5 X 3 TABLE STARTING IN COLUMN 11

NATIONAL BUREAU OF STANDARDS. WASHINGTON, D. C. 20234 OMNITAB 80 VERSION 6.00 MARCH 2, 1981

134
OMNITAB 80 TEST 33 EXAMPLES OF TABLE AND NTABLE INSTRUCTIONS. (6.9) PAGE 1

3-WAY TABLE OF FREQUENCIES OF 15 MEASUREMENTS

(1) = (2) = (3) =

COLUMN

AGE COLUMN

7

27

24

3

LEVELS

LEVELS

LEVELS

(2)

(3) (1)

23 24 25 26 TOTALS

40 6

7

1

1

2 3

1

48 6

7 1 3 1 1 6

49 6

7

1 3

1 4

1

TOTALS 15

3-WAY TABLE OF FREQUENCIES OF 15 MEASUREMENTS

(1)

(2)

(3)

= COLUMN

AGE

= COLUMN

7 ,

28 \

24

3

LEVELS

LEVELS

LEVELS

(3)

(2) 23

(1) 24 25 26 TOTALS

988 6

7

1 2

1

3

1

988 6

7 1 3 1 1 6

988 6 1 73

1 41

TOTALS 15

***************************************************************************

THE FOLLOWING VALUES SHOULD BE CLOSE TO OR EQUAL TO .98765 AND 0.0.

.98764992 0. J************************************************************************

135
OMNITAB 80 TEST 33 EXAMPLES OF TABLE AND STABLE INSTRUCTIONS. (6.9) 2

3-WAY TABLE OF SUMS OF 15 MEASUREMENTS IN COLUMN 50

( 1

)

= COLUMN 7 , 2 LEVELS

(2) = AGE ,4 LEVELS

(3) = COLUMN 27 , 3 LEVELS

24

(3) (2)

(1) 23

40 6

7

**

48 6

7

* 107

49 6

7 105

*

25 26 TOTALS

101 209 310

104 * 104

* * * 103 108 630

318 * 423

• 107 107

626 424 1574

312

TOTALS 212 312

* 14 OF THE 24 CELLS IN THE TABLE ARE EMPTY.

3-WAY TABLE OF SUMS OF 15 MEASUREMENTS IN COLUMN 50

(1) = COLUMN 7 . 2 LEVELS

(2) = AGE ,4 LEVELS

(3) = COLUMN 27 , 3 LEVELS

24

(3) (2)(1) 23

40 6

7

*

*

48 6

7

* 107

49 6

7 105

*

25 26 TOTALS

101 209 310

104 * 104

* * * 103 108 630

318 * 423

* 107 107

626 424 1574

312

TOTALS 212 312

* 14 OF THE 24 CELLS IN THE TABLE ARE EMPTY.

it*********************************************************************

THE FOLLOWING VALUE SHOULD BE CLOSE TO OR EQUAL TO ZERO.

0.

136
OMNITAB 80 TEST 33 EXAMPLES OF TABLE AND NTABLE INSTRUCTIONS. (6.9)

3-WAY TABLE OF AVERAGES OF 15 MEASUREMENTS IN COLUMN 50

(1) = (2) = (3) =

COLUMN

AGE

COLUMN

7

27

'

2

4

3

LEVELS LEVELS

LEVELS

(3)

(2) (1) 23 24 25 26

40 6

7

*

*

*

* 101.0

104.0

104.5

*

48 6

7

* 107.0 104

* .0

* 103.0* 108.0

49 6

7 105.0

•

*

* 106.0

*

* 107.0

14 OF THE 24 CELLS IN THE TABLE ARE EMPTY.

3-WAY TABLE OF AVERAGES OF 15 MEASUREMENTS IN COLUMN 50

(1) = COLUMN 7 , 2 LEVELS

(2) = AGE ,4 LEVELS

(3) = COLUMN 27 , 3 LEVELS

(3) (2)(1) 23 24 25 26

40 6

7

*

*

*

* 101.0

104.0

104.5

*

48 6

7

* 107.0* 104.0

* 103.0* 108.0

49 6

7 105.0

*

*

* 106.0*

* 107.0

***********************************************************************

THE FOLLOWING VALUE SHOULD BE CLOSE TO OR EQUAL TO ZERO.

0. ***********************************************************************

137
OMNITAB 80 TEST 33 EXAMPLES OF TABLE AND NTABLE INSTRUCTIONS. (6.9) 4

3-WAY TABLE OF STANDARD DEVIATIONS OF 15 MEASUREMENTS IN COLUMN 50

(1)

(2)

(3)

= COLUMN

AGE

= COLUMN

7

28

, 2 LEVELS

, 4 LEVELS

, 3 LEVELS

(3) (2)(1)

23 24

40.988 6

7

***

*

48.988 6

7

* .0000* 3.4641

49.988 6

7 .0000

*

* 4

*

25 26

0000 2.1213 0000 *

0000

4.3589

.0000

* .0000

14 OF THE 24 CELLS IN THE TABLE ARE EMPTY.

3-WAY TABLE OF STANDARD DEVIATIONS OF 15 MEASUREMENTS IN COLUMN 50

(1) = COLUMN

(2) = AGE

2 LEVELS

4 LEVELS

(3) = COLUMN 28 , 3 LEVELS

(2) 23 24 25

(3) (1)

40.988

48.988

49.988

26

.0000 2.1213

. 0000 *

.0000 3.4641

. 0000 *

.0000

4.3589

.0000

* * * .0000

14 OF THE 24 CELLS IN THE TABLE ARE EMPTY.

***********************************************************************

THE FOLLOWING VALUE SHOULD BE CLOSE TO OR EQUAL TO ZERO.

0. ***********************************************************************

138
OMNITAB 80 TEST 33 EXAMPLES OF TABLE AND NTABLE INSTRUCTIONS. (6.9)

3-WAY TABLE OF MINIMUMS OF 15 MEASUREMENTS IN COLUMN 50

(1) = COLUMN 7 , 2 LEVELS

(2) = AGE ,4 LEVELS

(3) = COLUMN 27 , 3 LEVELS

24 25 26 TOTALS

101 103 101 104 * 104

102 103 108 102

* 101 * 101

* * 107 107

102 101 103 101

24 CELLS IN THE TABLE ARE EMPTY.

3-WAY TABLE OF MINIMUMS OF 15 MEASUREMENTS IN COLUMN 50

(2)

(3) (1) 23

40 6

7

*

*

48 6

7

* 107

49 6

7 105

*

TOTALS 105

14 OF THE 2

(1) = (2) = (3) =

COLUMN

AGE

COLUMN

7 ,

27 \

2 LEVELS

4 LEVELS

3 LEVELS

(2)

(3) (1) 23 24 25 26 TOTALS

40 6

7

*

*

*

* 101 104

103

* 101 104

48 6

7

* 107

* 102* 103* 108

* 102

49 6

7 105

*

** 101

*

* 107

101 107

TOTALS 105 102 101 103 101

* 14 OF THE 24 CELLS IN THE TABLE ARE EMPTY.

***********************************************************************

THE FOLLOWING VALUE SHOULD BE CLOSE TO OR EQUAL TO ZERO.

0. ***********************************************************************

139
OMNITAB 80 TEST 33 EXAMPLES OF TABLE AND NTABLE INSTRUCTIONS. (6.9) 6

3-WAY TABLE OF MAXIMUMS OF 15 MEASUREMENTS IN COLUMN 50

(1) = COLUMN 7 , 2 LEVELS

(2) = AGE ,4 LEVELS

(3) = COLUMN 28 , 3 LEVELS

(3) (2)(1)

23 24 25 26 TOTALS

40.988 6

7

***

* 101 104 106

* 106 104

48.988 6

7

* 107* 108* 103

* 108

* 108

49.988 6

7 105

*

*

* 109*

* 107 109

107

TOTALS 107 108 109 108 109

* 14 OF THE 24 CELLS IN THE TABLE ARE EMPTY.

3-WAY TABLE OF MAXIMUMS OF 15 MEASUREMENTS IN COLUMN 50

(1) = COLUMN 7 , 2 LEVELS

(2) = AGE ,4 LEVELS

(3) = COLUMN 28 , 3 LEVELS

24

(3)

(2)

(1) 23

40.988 6

7

*

*

48.988 6

7

* 107

49.988 6

7 105

•

TOTALS 107

108

108

25 26 TOTALS

101 106 106

104 * 104

* * * 103 108 108

109 * 109

* 107 107

109 108 109

* 14 OF THE 24 CELLS IN THE TABLE ARE EMPTY.

a**********************************************************************

THE FOLLOWING VALUE SHOULD BE CLOSE TO OR EQUAL TO ZERO.

0. •it*****************************************************************

140
OMNITAB 80 TEST 33 EXAMPLES OF TABLE AND NTABLE INSTRUCTIONS. (6.9)

-WAY TABLE OF RANGES OF 15 MEASUREMENTS '.

(1) = (2) = (3) =

COLUMN

AGE COLUMN

7 ,

27 \

24

3

LEVELS

LEVELS

LEVELS

(3)

(2)

(1)

23 24 25 26 TOTALS

40 6

7

**

*

* 3*

5

48 6

7

* *6* * *6

49 6

7

*

*

* 8*

• 8

50

TOTALS 2 6 8 5 8

14 OF THE 24 CELLS IN THE TABLE ARE EMPTY.

3-WAY TABLE OF RANGES OF

(1) = COLUMN 7 (2) = AGE

(3) = COLUMN 28

15 MEASUREMENTS IN COLUMN 50

2 LEVELS

4 LEVELS

3 LEVELS

(3)

(2)

(1) 23

40.988 6

7

**

48.988 6

7

*

49.988 6

7

*

TOTALS 2

14 OF THE 24 (

24 25 26 TOTALS

24 CELLS IN THE TABLE ARE EMPTY.

***********************************************************************

THE FOLLOWING VALUES SHOULD BE CLOSE TO OR EQUAL TO .98765 AND 0.0.

.98764992 0. ***********************************************************************

141
OMNITAB 80 TEST 33 EXAMPLES OF TABLE AND NTABLE INSTRUCTIONS. (6.9) 8

3-WAY TABLE OF MEDIANS OF 15 MEASUREMENTS IN COLUMN 50

(1) = COLUMN

(2) = AGE

2 LEVELS

4 LEVELS

(3) = COLUMN 28 , 3 LEVELS

(2) 23 24 25

(3) (1) 40.988

48.988

49.988

26

101.0 104.5 104.0 *

107.0 102.0 103.0 108.0

105.0 * 108.0 *

• * * 107.0

14 OF THE 24 CELLS IN THE TABLE ARE EMPTY.

3-WAY TABLE OF MEDIANS OF 15 MEASUREMENTS IN COLUMN 50

(1) = COLUMN 7 (2) = AGE

(3) = COLUMN 28

(2) (3) (1)

40.988

48.988

49.988

23

2 LEVELS

4 LEVELS

3 LEVELS

24 25 26

101.0 104.5 104.0 *

107.0 102.0 103.0 108.0

105.0 * 108.0 *

* * * 107.0

14 OF THE 24 CELLS IN THE TABLE ARE EMPTY.

a**********************************************************************

THE FOLLOWING VALUE SHOULD BE CLOSE TO OR EQUAL TO ZERO.

0.

142
OMNITAB 80 TEST 33 EXAMPLES OF TABLE AND NTABLE INSTRUCTIONS. (6.9) 10

3-WAY TABLE OF PERCENTAGES IN ROWS OF 15 MEASUREMENTS

(1) = COLUMN 7 , 2 LEVELS

(2) = AGE ,4 LEVELS

(3) = COLUMN 27 , 3 LEVELS

24 25 26 TOTALS

.00 33.33 66.67 100.00

.00 100.00 .00 100.00

(3)

(2)

(1) 23

40 6

7 .00

.00

48 6

7 .00 16.67

49 6

7 25.00.00

.00 .00 .00 100.00

16.67 50.00 16.67 16.67 100.00

.00 75.00 .00 100.00

.00 .00 100.00 100.00

3-WAY TABLE OF PERCENTAGES IN ROWS OF 15 MEASUREMENTS

(1) = COLUMN 7 , 2 LEVELS

(2) = AGE ,4 LEVELS

(3) = COLUMN 27 , 3 LEVELS

(2) 23 24 25 26 TOTALS

(3) (1)

40 6 .00 .00 33.33 66.67 100.00

7 .00 .00 100.00 .00 100.00

48 6 .00 .00 .00 .00 100.00

7 16.67 50.00 16.67 16.67 100.00

49 6 25.00 .00 75.00 .00 100.00

7 .00 .00 .00 100.00 100.00

THE FOLLOWING VALUE SHOULD BE CLOSE TO OR EQUAL TO ZERO.

0.

143
OMNITAB 80 TEST 33 EXAMPLES OF TABLE AND NTABLE INSTRUCTIONS. (6.9)

3-WAY TABLE OF PERCENTAGES OF 15 MEASUREMENTS

(1) = (2) = (3) =

COLUMN

AGE COLUMN

7 ,

27 \

24

3

LEVELS

LEVELS

LEVELS

(3)

(2)

(1) 23 24 25 26 TOTALS

40 6

7 .00 .00

.00

.00 6.676.67

13.33

.00 20.006.67

48 6

7 .00 6.67

.00 20.00.00 6.67.00 6.67.00 40.00

49 6

7 6.67

.00 .00.00 20.00.00 .00 6.67 26.676.67

TOTALS 13.33 20.00 40.00 26.67 100.00

3-WAY TABLE OF PERCENTAGES OF 15 MEASUREMENTS

(1) = COLUMN 7 , 2 LEVELS

(2) = AGE ,4 LEVELS

(3) = COLUMN 27 , 3 LEVELS

(2)

(3) (1)

23 24 25 26 TOTALS

40 6

7 .00.00

.00

.00 6.676.67

13.33

.00 20.006.67

48 6

7 .00 6.67 20

.00 .00.00 6.67.00 6.67.00 40.00

49 6

7 6.67.00

.00

.00 20.00.00 .00 6.67 26.67

6.67

TOTALS 13.33 20 .00 40.00 26.67 100.00

tit*********************************************************************

THE FOLLOWING VALUE SHOULD BE CLOSE TO OR EQUAL TO ZERO.

0. in**********************************************************************

144
OMNITAB 80 TEST 33 EXAMPLES OF TABLE AND NTABLE INSTRUCTIONS. (6.9) 11

3-WAY TABLE OF PERCENTAGES IN COLUMNS OF 15 MEASUREMENTS

(1) = COLUMN 7 , 2 LEVELS

(2) = AGE ,4 LEVELS

(3) = COLUMN 27 , 3 LEVELS

(2)

(3) (1) 23 24 25 26

40 6

7 .00

.00

.00

.00 16.67

16.67 50.00

.00

48 6

7 50

.00

.00 100

.00

.00

.00 16.67.00 25.00

49 6

7 50 .00

.00 .00

.00 50.00

.00

.00 25.00

TOTALS 100 .00 100 .00 100.00 100.00

3-WAY TABLE OF PERCENTAGES IN COLUMNS OF 15 MEASUREMENTS

(1) = COLUMN 7 , 2 LEVELS

(2) = AGE ,4 LEVELS

(3) = COLUMN 27 , 3 LEVELS

(3)

(2)

(1)

23 24 25 26

40 6

7 .00

.00

.00 .00 16.67

16.67 50.00

.00

48 6

7 50

.00 .00 100

.00

.00

.00 16.67.00 25.00

49 6

7 50 .00.00

.00

.00 50.00.00 .00 25.00

TOTALS 100.00 100.00 100.00 100.00

THE FOLLOWING VALUE SHOULD BE CLOSE TO OR EQUAL TO ZERO.

0. ****************************************************** *****************

145
OMNITAB 80 TEST 33 EXAMPLES OF TABLE AND NTABLE INSTRUCTIONS. (6.9) 12

3-WAY TABLEi OF PROPORTIONS OF 15 MEASUREMENTS

(1)

(2) (3)

= COLUMN 7 AGE

= COLUMN 28

, 2 LEVELS

, 4 LEVELS

, 3 LEVELS

(3)

(2)

(1) 23 24 25 26 TOTALS

40 .988 6

7 .0000

.0000

.0000

.0000

.0667

.0667 .1333 .0000 .2000.0667

48 .988 6

7 .0000.0667 .0000.2000 .0000.0667

.0000

.0667 .0000.4000

49 .988 6

7 .0667 .0000

.0000

.0000 .2000.0000

.0000

.0667

.2667

.0667

TOTALS .1333 .2000 .4000 .2667 1.0000

3-WAY TABLE OF PROPORTIONS OF 15 MEASUREMENTS

(1)

(2)

(3)

= COLUMN 7 AGE

= COLUMN 28

, 2 LEVELS

, 4 LEVELS

, 3 LEVELS

(3)

(2)

(1)

23 24 25 26 TOTALS

40 .988 6

7 .0000.0000

.0000

.0000

.0667

.0667 .1333 .0000

.2000

.0667

48 .988 6

7 .0000

.0667 .0000

.2000

.0000

.0667 .0000.0667 .0000.4000

49 .988 6

7 .0667 .0000

.0000 .0000

.2000 .0000 .0000

.0667

.2667

.0667

TOTALS .1333 .2000 .4000 .2667 1 . 0000

THE FOLLOWING VALUE SHOULD BE CLOSE TO OR EQUAL TO ZERO.

0. ***********************************************************************

146
OMNITAB 80 TEST 33 EXAMPLES OF TABLE AND NTABLE INSTRUCTIONS. (6.9) 13

3-WAY TABLE OF PROPORTIONS IN ROWS OF 15 MEASUREMENTS

(1) = (2) = (3) =

COLUMN

AGE COLUMN

7 ,

27 ',

24

3

LEVELS

LEVELS

LEVELS

(3)

(2)

(1) 23 24 25 26 TOTALS

40 6

7 .0000 .0000

.0000 .0000

.3333

I. 0000

.6667 .0000 1.0000

1.0000

48 6

7 .0000.1667 .0000 .5000

.0000

.1667 .0000.1667 1.00001.0000

49 6

7 .2500

.0000 .0000.0000

.7500

.0000

.0000 1.00001.0000 1.0000

3-WAY TABLE OF PROPORTIONS IN ROWS OF 15 MEASUREMENTS

(1) = COLUMN 7 , 2 LEVELS

(2) = AGE ,4 LEVELS

(3) = COLUMN 27 , 3 LEVELS

(3)

(2) (1) 40 6

7

48 6

7

49 6

7

23 24 25 26 TOTALS

.0000 .0000 .3333 .6667 1.0000

.0000 .0000 1.0000 .0000 1.0000

.0000 .0000 .0000

.1667 .5000 .1667 .0000 1.0000.1667 1.0000

.2500 .0000 .7500 .0000 1.0000

.0000 .0000 .0000 1.0000 1.0000

ft**********************************************************************

THE FOLLOWING VALUE SHOULD BE CLOSE TO OR EQUAL TO ZERO.

0. I**********************************************************************

147
OMNI TAB 80 TEST 33 EXAMPLES OF TABLE AND NTABLE INSTRUCTIONS. (6.9) 14

3-WAY TABLE OF PROPORTIONS IN COLUMNS OF 15 MEASUREMENTS

(1) = COLUMN 7 . 2 LEVELS

(2) = AGE ,4 LEVELS

(3) = COLUMN 27 , 3 LEVELS

(2) 23 24 25 26

(3) (1)

40 6 .0000 .0000 .1667 .5000

7 .0000 .0000 .1667 .0000

48 6 .0000 .0000 .0000 .0000

7 .5000 1.0000 .1667 .2500

49 6 .5000 .0000 .5000 .0000

7 .0000 .0000 .0000 .2500

TOTALS 1.0000 1.0000 1.0000 1.0000

3-WAY TABLE OF PROPORTIONS IN COLUMN'S OF 15 MEASUREMENTS

( 1

)

= COLUMN 7 , 2 LEVELS

(2) = AGE ,4 LEVELS

(3) = COLUMN 27 , 3 LEVELS

(2) 23 24 25 26

(3) (1)

40 6 .0000 .0000 .1667 .5000

7 .0000 .0000 .1667 .0000

48 6 .0000 .0000 .0000 .0000

7 .5000 1.0000 .1667 .2500

49 6 .5000 .0000 .5000 .0000

7 .0000 .0000 .0000 .2500

TOTALS 1.0000 1.0000 1.0000 1.0000

***********************************************************************

THE FOLLOWING VALUE SHOULD BE CLOSE TO OR EQUAL TO ZERO.

0. it******************************************************************

148
OMNITAB 80 TEST 33 EXAMPLES OF TABLE AND NTABLE INSTRUCTIONS. (6.9) 15

LIST OF DATA, INSTRUCTIONS AND DIAGNOSTICS

READ DATA INTO COLUMNS 7 5 27 50

$ 6 25 40 101

7 23 48 107

7 25 40 104

6 25 49 109

6 26 40 106

7 24 48 102

6 26 40 103

6 25 49 108

6 23 49 105

7 24 48 108

7 24 48 102

6 25 49 101

7 26 48 108

7 25 48 103

7 26 49 107

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM TO 15.

WIDTH OF 80 CHARACTERS PER LINE

HEAD COL 5/ AGE TABLE FREQUENCY 3 WAY FOR DATA IN COLUMNS 7, 5 AND 27 STORE STARTING IN COL 41

$ADD 0.98765 TO COLUMN 27 AND PUT IN COLUMN 28 SPACE 3 NTABLE FREQUENCY 3 WAY FOR DATA IN COLUMNS 7, 5 AND 28 STORE STARTING IN COL 31 ROW SUM COLS 32 THRU 35 PUT IN COL 39 ROW SUM COLS 42 THRU 45 PUT IN COL 49 SUBTRACT COL 49 FROM COL 39 PUT IN COL 39 AVERAGE COL 39 PUT IN COL 39 SUBTRACT COL 48 FROM COL 38 PUT IN COL 51 PROMOTE BY 1 ROW VALUES IN COL 51 PUT IN COL 51 SPACE 3 NOTE ***************************************************************************

SPACE

NOTE THE FOLLOWING VALUES SHOULD BE CLOSE TO OR EQUAL TO .98765 AND 0.0. SPACE ABRIDGE ROW 1 OF COL 51 AND 39 SPACE

NOTE ***************************************************************************

WIDTH OF 72 CHARACTERS PER LINE TABLE SUM 3 WAY WITH LEVELS IN COLS 7, 5 AND 27 FOR DATA IN COL 50 PUT IN COL 41 SPACE 3 NTABLE SUM 3 WAY WITH LEVELS IN COLS 7 5 AND 27 FOR DATA IN COL 50 PUT IN COL 31 ROW SUM COLS 32 THRU 35 PUT IN COL 39 ROW SUM COLS 42 THRU 45 PUT IN COL 49 SUBTRACT COL 49 FROM COL 39 PUT IN COL 39

149
OMNITAB 80 TEST 33 EXAMPLES OF TABLE AND STABLE INSTRUCTIONS. (6.9) 16

LIST OF DATA. INSTRUCTIONS AND DIAGNOSTICS

AVERAGE COL 39 PIT IN COL 39 SPACE 3

\ | | J

£ ***************************************************************************

SPACE NOTE THE FOLLOWING VALUE SHOULD BE CLOSE TO OR EQUAL TO ZERO. SPACE ABRIDGE ROW 1 OF COL 39 SPACE \OTE ***************************************************************************

TABLE AVERAGE 3 WAY WITH LEVELS IN COLS 7, 5 AND 27 DATA IN COL 50 PUT IN COL 11 SPACE 3 STABLE AVERAGE 3 WAY WITH LEVELS IN COLS 7 5 AND 27 DATA IN COL 50 PLT IN COL 31 ROW SUM COLS 32 THRU 35 PIT IN COL 39 ROW SUM COLS 12 THRU 15 PLT IN COL 49 SUBTRACT COL 49 FROM COL 39 PLT IN COL 39 AVERAGE COL 39 PLT IN COL 39 SPACE NOTE ***************************************************************************

SPACE NOTE THE FOLLOWING VALUE SHOULD BE CLOSE TO OR EQUAL TO ZERO. SPACE ABRIDGE ROW 1 OF COL 39 SPACE

\ ri y

f it*************************************************************************

TABLE STDDEV 3 WAY WITH LEVELS IN COLS 7. 5 AND 28 DATA IN COL 50 PLT IN COL 41 SPACE 5 NTABLE STDDEV 3 WAY WITH LEVELS IN COLS 7. 5 .AND 28 DATA IN COL 50 PLT IN COL 31 ROW SUM COLS 32 THRU 35 PLT IN COL 39 ROW SUM COLS 42 THRU 45 PLT IN COL 49 SUBTRACT COL 49 FROM COL 39 PLT IN COL 39 AVERAGE COL 39 PLT IN COL 39 SPACE 3 \f)7E ***************************************************************************

SPACE NOTE THE FOLLOWING VALUE SHOULD BE CLOSE TO OR EQUAL TO ZERO. SPACE ABRIDGE ROW 1 OF COL 39 SPACE

\OTE ***************************************************************************

TABLE MINIMUM 3 WAY WITH LEVELS IN COLS 7. 5 AND 27 DATA IN COL 50 PLT IN COL 41 SPACE 3 NTABLE MINIMUM 3 WAY WITH LEVELS IN COLS 7 5 .AND 27 DATA IN COL 50 PLT IN COL 11 ROW SUM COLS 42 THRU 45 PLT IN COL 49 ROW SUM COLS 12 THRU 15 PLT IN COL 39 SUBTRACT COL 49 FROM COL 39 PUT IN COL 39 AVERAGE COL 39 PLT IN COL 39 SPACE 3 \'OTE ***************************************************************************

SPACE NOTE THE FOLLOWING VALUE SHOULD BE CLOSE TO OR EQUAL TO ZERO.

150
OMNITAB 80 TEST 33 EXAMPLES OF TABLE AND NTABLE INSTRUCTIONS. (6.9) 17

LIST OF DATA, INSTRUCTIONS AND DIAGNOSTICS

SPACE ABRIDGE ROW 1 OF COL 39 SPACE

NOTE ***************************************************************************

TABLE MAXIMUM 3 WAY WITH LEVELS IN COLS 7, 5 AND 28 DATA IN COL 50 PUT IN COL 41 SPACE 3 NTABLE MAXIMUM 3 WAY WITH LEVELS IN COLS 7 5 AND 28 DATA IN COL 50 PUT IN COL 31 ROW SUM COLS 32 THRU 35 PUT IN COL 39 ROW SUM COLS 42 THRU 45 PUT IN COL 49 SUBTRACT COL 49 FROM COL 39 PUT IN COL 39 AVERAGE COL 39 PUT IN COL 39 SPACE 3 NOTE ***************************************************************************

SPACE NOTE THE FOLLOWING VALUE SHOULD BE CLOSE TO OR EQUAL TO ZERO. SPACE ABRIDGE ROW 1 OF COL 39 SPACE NOTE ***************************************************************************

TABLE RANGE 3 WAY WITH LEVELS IN COLS 7, 5 AND 27 DATA IN COL 50 PUT IN COL 31 SPACE 3 NTABLE RANGE 3 WAY WITH LEVELS IN COLS 7, 5 AND 28 DATA IN COL 50 PUT IN COL 41 ROW SUM COLS 32 THRU 35 PUT IN COL 39 ROW SUM COLS 42 THRU 45 PUT IN COL 49 SUBTRACT COL 49 FROM COL 39 PUT IN COL 39 AVERAGE COL 39 PUT IN COL 39 SUBTRACT COL 38 FROM COL 48 PUT IN COL 51 PROMOTE BY.l ROW VALUES IN COL 51 PUT IN COL 51 SPACE 3 NOTE ***************************************************************************

SPACE NOTE THE FOLLOWING VALUES SHOULD BE CLOSE TO OR EQUAL TO .98765 AND 0.0. SPACE ABRIDGE ROW 1 OF COL 51 AND 39 SPACE

NOTE ***************************************************************************

TABLE MEDIAN 3 WAY WITH LEVELS IN COLS 7, 5 AND 28 DATA IN COL 50 PUT IN COL 31 SPACE 3 NTABLE MEDIAN 3 WAY WITH LEVELS IN COLS 7, 5 AND 28 DATA IN COL 50 PUT IN COL 41 SPACE 3 NOTE ***************************************************************************

SPACE

NOTE THE FOLLOWING VALUE SHOULD BE CLOSE TO OR EQUAL TO ZERO. SPACE ABRIDGE ROW 1 OF COL 39 SPACE

NOTE ***************************************************************************

TABLE PERCENTAGES 3 WAY FOR DATA IN COLUMNS 7, 5 AND 27 STORE STARTING IN COL 31 SPACE 3 NTABLE PERCENTAGES 3 WAY FOR DATA IN COLUMNS 7 5 AND 27 STORE STARTING IN COL 41

151
OMNITAB 80 TEST 33 EXAMPLES OF TABLE AND STABLE INSTRUCTIONS. (6.9) 18

LIST OF DATA. INSTRUCTIONS AND DIAGNOSTICS

R0« SUM COLS 32 THRU 35 PUT IN COL 39 ROW SUM COLS 42 THRU 45 PUT IN COL 49 SUBTRACT COL 49 FROM COL 39 PUT IN COL 39 AVERAGE COL 39 PUT IN COL 39 SPACE 3

\ <

i T E ***************************************************************************

SPACE NOTE THE FOLLOWING VALUE SHOULD BE CLOSE TO OR EQUAL TO ZERO. SPACE ABRIDGE ROW 1 OF COL 39 SPACE

\"Oyj£ ****************************************************************************

TABLE RPERCENTAGE 3 WAY FOR DATA IN COLUMNS 7, 5 .AND 27 STORE STARTING IN COL 31 SPACE 3 STABLE RPERCENTAGE 3 WAY FOR DATA IS COLUMNS 7, 5 AND 27 START STORING IN COL 41 ROW SUM COLS 32 THRU 35 PUT IN COL 39 ROW SUM COLS 42 THRU 45 PUT IN COL 49 SUBTRACT COL 49 FROM COL 39 PUT IN COL 39 AVERAGE COL 39 PUT IN COL 39 SPACE 3 \f y

£ ***************************************************************************

SPACE NOTE THE FOLLOWING VALUE SHOULD BE CLOSE TO OR EQUAL TO ZERO. SPACE ABRIDGE ROW 1 OF COL 39 SPACE NOTE ***************************************************************************

TABLE CPERCESTAGE 3 WAY FOR DATA IS COLUMNS 7, 5 .AND 27 STORE STARTING IN COL 31 SPACE 3 STABLE CPERCESTAGE 3 WAY FOR DATA IS COLUMNS 7, 5 AND 27 START STORISG IS COL 41 ROW SUM COLS 32 THRU 35 PUT IN COL 39 ROW SUM COLS 42 THRU 45 PUT IN COL 49 SUBTRACT COL 49 FROM COL 39 PUT IN COL 39 A\TRAGE COL 39 PUT IN COL 39 SPACE 3 NOTE ***************************************************************************

SPACE NOTE THE FOLLOWING VALUE SHOULD BE CLOSE TO OR EQUAL TO ZERO. SPACE ABRIDGE ROW 1 OF COL 39 SPACE

v;OTE it*************************************************************************

•TABLE PROPORTIONS 3 WAY FOR DATA IN COLUMNS 7, 5 AND 28 STORE STARTING IN COL 41 SPACE 3 NTABLE PROPORTIONS 3 WAY FOR DATA IS COLUMNS 7, 5 AND 28 START STORING IN C9L 31 ROW SUM COLS 32 THRU 35 PUT IN COL 39 ROW SUM COLS 42 THRU 45 PUT IN COL 49 SUBTRACT COL 49 FROM COL 39 PUT IN COL 39 AVERAGE COL 39 PUT IN COL 39 SPACE 3

152
OMNITAB 80 TEST 33 EXAMPLES OF TABLE AND NTABLE INSTRUCTIONS. (6.9) 19

LIST OF DATA, INSTRUCTIONS AND DIAGNOSTICS

NOTE ***************************************************************************

SPACE

NOTE THE FOLLOWING VALUE SHOULD BE CLOSE TO OR EQUAL TO ZERO. SPACE ABRIDGE ROW 1 OF COL 39 SPACE NOTE ***************************************************************************

TABLE RPROPORTION 3 WAY FOR DATA IN COLUMNS 7, 5 AND 27 STORE STARTING IN COL 31 SPACE 3 NTABLE RPROPORTION 3 WAY FOR DATA IN COLUMNS 7, 5 AND 27 START STORING IN COL 41 ROW SUM COLS 32 THRU 35 PUT IN COL 39 ROW SUM COLS 42 THRU 45 PUT IN COL 49 SUBTRACT COL 49 FROM COL 39 PUT IN COL 39 AVERAGE COL 39 PUT IN COL 39 SPACE 3 NOTE ***************************************************************************

SPACE NOTE THE FOLLOWING VALUE SHOULD BE CLOSE TO OR EQUAL TO ZERO. SPACE ABRIDGE ROW 1 OF COL 39 SPACE NOTE ***************************************************************************

TABLE CPROPORTION 3 WAY FOR DATA IN COLUMNS 7, 5 AND 27 STORE STARTING IN COL 31 SPACE 3 NTABLE CPROPORTION 3 WAY FOR DATA IN COLUMNS 7, 5 AND 27 START STORING IN COL 41 ROW SUM COLS 32 THRU 35 PUT IN COL 39 ROW SUM COLS 42 THRU 45 PUT IN COL 49 SUBTRACT COL 49 FROM COL 39 PUT IN COL 39 AVERAGE COL 39 PUT IN COL 39 SPACE 3 NOTE ***************************************************************************

SPACE

NOTE THE FOLLOWING VALUE SHOULD BE CLOSE TO OR EQUAL TO ZERO. SPACE ABRIDGE ROW 1 OF COL 39 SPACE NOTE ***************************************************************************

NATIONAL BUREAU OF STANDARDS. WASHINGTON, D. C. 20234 OMNITAB 80 VERSION 6.00 MARCH 2, 1981

153
OMNI TAB 80 TEST 34 PROBABILITY DENSITY FUNCTIONS. (7.1) EXAMPLES OF PROBABILITY' DENSITY" FUNCTIONS

X LOGNORMAL HALFNORMAL EXTREME

COLUMN 1 COLUMN 11 COLUMN 12 COLUMN 13

. 20000000

. 30000000

. 40000000

. 50000000

. 60000000

. "0000000

. 80000000

. 90000000

54626787

64420326

65544417

62749608 58357382

53479484

48641578

44081569

.78208539

.76277563

.73654028 .70413066

. 66644920

.62450787

.57938311 .53217050

.36105292 .35316560

.34289876

.33070430

.31701327

. 30222446

.28669712 .27074722

*E I BULL COLUMN 1

5

.71487912 .52788156

.42001816

.34865221 .29750298

.25885953

.22854947

.20409898

PAGE 1

BETA COLUMN 17

.27525120

.47647845

.52254720

.41015625 .23224320

.087516455

.017203201 .00076545005

***************************************************************************

THE FOLLOWING VALUES MUST EQUAL OR BE NEAR .565. .674, .321. .375 AND .253.

.565 .674 .321 .375 .253 ***************************************************************************

. 2000000-000

. 3000000-000

.4000000-000

. 5000000-000

. 6000000-000

. 7000000-000

. 8000000-000

. 9000000-000

PARETO 3.8O36289-O01

3.3733001-001

3.0184081-001 2.7216553-001

2.4705294-001

2.2557794-001

2.0704333-001

1.9091480-001

***************************************************************************

THE FOLLOWING VALUE MUST BE EQUAL TO OR NEAR .27028603

2.7028603-001 ***************************************************************************

154
OMNITAB 80 TEST 34 PROBABILITY DENSITY FUNCTIONS. (7.1) EXAMPLES OF PROBABILITY DENSITY FUNCTIONS

PAGE

X BINOMIAL NEGBINOMIAL POISSON GEOMETRIC

COLUMN 2 COLUMN 1

COLUMN 20 COLUMN 19 COLUMN 21

. 0000000 1.1529215-002 1.0485759-014 1.8315639-002 2.0000000-001

1.0000000+000 5 . 7646076-002 1.6777215-013 7.3262556-002 1.6000000-001

2 . 0000000+000 1.3690943-001 1.4092860-012 1.4652511-001 1.2800000-001

3 . 0000000+000 2.0536414-001 8.2678115-012 1.9536681-001 1.0240000-001 4.0000000*000 2.1819940-001 3.8031933-011 1.9536681-001 8.1920000-002 5.0000000+000 1.7455952-001 1.4604262-010 1.5629345-001 6.5536000-002 6.0000000+000 1.0909970-001 4.8680874-010 1.0419563-001 5.2428800-002

7 . 0000000+000 5.4549850-002 1.4465174-009 5.9540363-002 4.1943040-002

THE FOLLOWING VALUES MUST EQUAL OR BE NEAR .121, .0.0, .119 AND .104.

.121 .000 .119 104 ***************************************************************************

155
OMNITAB 80 TEST 34 PROBABILITY DENSITY' FUNCTIONS. (7.1) PAGE 3

LIST OF DATA, INSTRUCTIONS AND DIAGNOSTICS

$GENERATE 0.2(0.1)0.9 IN COLUMN 1

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM TO 8.

GENERATE 0.0(1.0)7.0 IN COLUMN 2 ADD 1.0 TO COLUMN 1 AND PUT IN COLUMN 3 $LOGNORMAL DENSITY' OF COLUMN 1 PIT IN COLUMN 11 HALFNORMAL DENSITY' OF COLUMN 1 PUT IN COLUMN 12 EXTREME DENSITY' OF COLUMN 1 PUT IN COLUMN 13

$WEI BULL DENSITY OF COLUMN 1, PARAMETER 0.5, PUT IN COLUMN 15 PARETO DENSITY' OF COLUMN 3, PARAMETER 0.5, PUT IN COLUMN 16 BETA DENSITY' OF COLUMN 1, PARAMETERS 3.0 AND 5.0, PUT IN COLUMN 17

$BINOMIAL DENSITY OF COLUMN 2, N=20.0, P = 0.2, PUT IN COLUMN 18 POISSON DENSITY' OF COLUMN 2, P = 4.0, PUT IN COLUMN 19 NEGBINOMIAL DENSITY' OF COLUMN 2, N=20.0, P = 0.2, PUT IN COLUMN 20 GEOMETRIC DENSITY OF COLUMN 2, P = 0.2, PUT IN COLUMN 21

$TITLE1 EXAMPLES OF PROBABILITY' DENSITY' FUNCTIONS

TITLE3 X LOGNORMAL HALFNORMAL EXTREME

TITLE4 WE I BULL BETA PRINT COLUMN 1 AND COLUMNS 11, 12, 13, 15 AND 17 AVERAGE COL 11 PUT IN COL 41 AVERAGE COL 12 PUT IN COL 42 AVERAGE COL 13 PLT IN COL 43 AVERAGE COL 15 PUT IN COL 44 AVERAGE COL 17 PUT IN COL 45 SPACE 3 NOTE ***************************************************************************

SPACE NOTE THE FOLLOWING VALUES MUST EQUAL OR BE NEAR .565, .674, .321, .375 AND .253. FIXED 3 SPACE ABRIDGE ROW 1 OF COLUMNS 41 *** 45 FLOATING

SPACE NOTE ***************************************************************************

SPACE 3 NOTE X PARETO NPRINT COLUMN 3 AND COLUMN 16 AVERAGE COL 16 AND PUT IN 41 SPACE 3 NOTE ***************************************************************************

SPACE NOTE THE FOLLOWING VALUE MUST BE EQUAL TO OR NEAR .27028603 SPACE

156
OMNITAB 80 TEST 34 PROBABILITY DENSITY FUNCTIONS. (7.1) PAGE 4

LIST OF DATA, INSTRUCTIONS AND DIAGNOSTICS

ABRIDGE ROW 1 OF COLUMN 41 SPACE NOTE ***************************************************************************

SPACE 3 TITLE3 X BINOMIAL NEGBINOMIAL POISSON TITLE4 GEOMETRIC

PRINT COLUMN 2 AND COLUMNS 18, 20, 19 AND 21 AVERAGE COL 18 PUT IN COL 41 AVERAGE COL 20 PUT IN COL 42 AVERAGE COL 19 PUT IN COL 43 AVERAGE COL 21 PUT IN COL 44 SPACE 3 NOTE ***************************************************************************

SPACE NOTE THE FOLLOWING VALUES MUST EQUAL OR BE NEAR .121, .0.0, .119 AND .104. FIXED 3 SPACE ABRIDGE ROW 1 OF COLUMNS 41 *** 44

SPACE NOTE ***•******••*****•*••*******•**••••*•******•*•••*****•*************•*******

NATIONAL BUREAU OF STANDARDS. WASHINGTON, D. C. 20234 OMNITAB 80 VERSION 6.00 MARCH 2, 1981

157
OMNITAB 80 TEST 35 PROB DENS, CUMUL DIST AND PERCENT PT. (7.1), (7.2) AND (7.3) PAGE 1 EXAMPLES OF PROBABILITY DENSITY FUNCTIONS

X NORMAL UNIFORM CAUCHY EXPONENTIAL DEXPONENTIAL

COLUMN 1 COLUMN 11 COLUMN 12 COLUMN 13 COLUMN 14 COLUMN 15 LOGISTIC COLUMN 16

. 20000000

. 30000000

. 39999999

. 50000000

. 59999999

.39104269

.38138781 .36827014

.35206533

.33322461

1.0000000 1.0000000

1.0000000

1 . 0000000

1.0000000

. 30606720

. 29202742

.27440508

.25464791 .23405139

.81873076

.74081822 .67032006 .60653066

.54881164

.40936538

.37040911 .33516003

.30326533

.27440582

.24751657

.24445831

. 24026075

.23500371 .22878424

. 69999999

.79999999

. 89999998

.31225394

.28969156

.26608525

1.0000000

1.0000000

1 . 0000000

.21363080 .19409140

.17586182

.49658531 .44932897

.40656967

.24829265

. 22466449

.20328483

.22171287 .21390970

.20550031

***************************************************************************

THE FOLLOWING VALUES MUST BE EQUAL TO OR NEAR ZERO.

7.4505806-09

0.

0. * 1.1175871-08

0. * 3.7252903-09 ***************************************************************************

158
OMNITAB 80 TEST 35 PROB DENS, CUMUL DIST AND PERCENT PT. (7.1), (7.2) AND (7.3) EXAMPLES OF CUMULATIVE DISTRIBTION FUNCTIONS

X NORMAL LOGNORMAL HALFNORMAL UNIFORM

COLUMN 1 COLUMN 17 COLUMN 18 COLUMN 19 COLUMN 20

PAGE

. 20000000

. 30000000

. 39999999

. 50000000

.59999999

.57925969

.61791137 .65542170

.69146247

.72574693

.053760290

.11430009

.17975718

.24410851 .30473654

.15851939

.23582274

.31084341 .38292494 .45149386

. 20000000

. 30000000

.39999999

. 50000000

. 59999999

.69999999 .79999999

. 89999998

.75803643 .78814468

.81593992

.36066762

.41171192 .45804480

.51607287 .57628936

.63187984

.69999999

.79999999

.89999998

. 20000000

. 30000000

.39999999

. 50000000

.59999999

CAUCHY

.56283296

.59277358 .62111894

.64758362

.67202087

EXPONENTIAL

.18126925 .25918178 .32967994

.39346934

.45118836

DEXPONENTIAL

. 59063462

.62959089

.66483998

.69673467

.72559418

LOGISTIC

. 54983400

.57444251 .59868766

.62245933 .64565630

. 69999999

.79999999

.89999998

.69440011 .71477671 .73326229

.50341469

.55067103

.59343033

.75170735

.77533551 ,79671517

.66818777

.68997448 .71094950

***************************************************************************

THE FOLLOWING VALUES MUST BE EQUAL TO OR NEAR ZERO.

* 7.4505806-09 * 4.6566129-10 *-l . 8626451-09 0.

* 1.4901161-08 * 7.4505806-09 *-7. 4505806-09 * 1.4901161-08 ***************************************************************************

159
OMNITAB 80 TEST 35 PROB DENS, CUMUL DIST AND PERCENT FT. (7.1), (7.2) AND (7.3) EXAMPLES OF PERCENT POINT FUNCTIONS

X NORMAL LOGNORMAL HALFNORMAL UNIFORM COLUMN 1 COLUMN 26 COLUMN 27 COLUMN 28 COLUMN 29

PAGE

. 20000000

30000000

.39999999

. 50000000

.59999999

0.

-.84162122

-.52440055

-.25334713

'. 25334704

.43101119

.59191008

.77619839

. 0000000

.2883303

.25334708 .38532047

. 52440049

. 67448974

.84162118

. 20000000

. 30000000

.39999999

. 50000000

.59999999

.69999999 .79999999

.89999998

. 52440049

.84162118 1.2815514

1.6894457 2.3201253 3.6022240

1.0364333

1.2815515

1.6448535

.69999999

.79999999

.89999998

. 20000000

. 30000000

.39999999

CAUCHY

-1.3763819 -.72654254

-.32491974

.50000000 *- 1.2 194766- 16 .59999999 32491965

EXPONENTIAL

.22314355 .35667494

.51082560

.69314718 .91629070

DEXPONENTIAL -.91629074

-.51082563

-.22314358

0..22314352

LOGISTIC

-1.3862944 -.84729788

-.40546516

0..40546505

.69999999 .72654247 1.2039728 .51082558 .84729780

.79999999 1.3763818 1.6094379 .91629068 1.3862943

.89999998 3.0776830 2.3025849 1.6094377 2.1972244

***************************************************************************

THE FOLLOWING VALUES MUST BE EQUAL TO OR NEAR ZERO.

*-7. 4505806-09 * 3.7252903-09 * 7.4505806-09 0. *_4. 4703484-08 * 1.1175871-08 0. * 2.9802322-08 ***************************************************************************

160
OMNITAB 80 TEST 35 PROB DENS, CUMUL DIST AND PERCENT PT. (7.1), (7.2) AND (7.3) PAGE 4

LIST OF DATA, INSTRUCTIONS AND DIAGNOSTICS

10 X 200

UNIFORM DENSITY, CAUCHY DENSITY, EXPONENTIAL DENSITY, DEXPONENTIAL DENSITY, LOGISTIC DENSITY,

DIMENSION

$$ NORMAL DENSITY,

$

$

$$

$

$$

$

$ READ IN JJF RESULTS

$READ X INTO COLUMN

. 20000000+00

. 30000000+00

. 39999999+00

. 50000000+00

.59999999+00

.69999999+00

.79999999+00

.89999999+00

NORMAL

LOGNORMAL HALFNORMAL

UNIFORM CAUCHY EXPONENTIAL

CUMULATIVE,

CUMULATIVE,

CUMULATIVE,

CUMULATIVE,

CUMULATIVE,

CUMULATIVE,

NORMAL

LOGNORMAL HALFNORMAL

UNIFORM CAUCHY

EXPONENTIAL

PERCENTILE

PERCENTILE

PERCENTILE

PERCENTILE PERCENTILE

PERCENTILE DEXPONENTIAL CUMULATIVE, LOGISTIC CUMULATIVE, DEXPONENTIAL PERCENTILE

LOGISTIC PERCENTILE

1 AND RESULTS

.39104269+00

.38138781+00 .36827014+00

.35206532+00

. 33322460+00

.31225393+00

.28969155+00

.26608525+00

INTO COLS 41

. 10000000+01

. 10000000+01

. 10000000+01

. 10000000+01

. 10000000+01

. 10000000+01

. 10000000+01

. 10000000+01

* 44 .30606719+00

.29202742+00

.27440507+00 .25464791+00

.23405139+00 .21363080+00

.19409139+00 .17586182+00

INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION

NRMAX HAS BEEN RESET FROM TO 8.

READ RESULTS INTO .40936538+00 .37040911+00

.33516002+00

.30326533+00

.27440582+00

.24829265+00

. 22466449+00

.20328483+00

READ RESULTS INTO

. 20000000+00

. 30000000+00

.39999999+00

. 50000000+00

. 59999999+00

.69999999+00

.79999999+00

. 89999999+00

READ RESULTS INTO .55900899+00 - .52327631+00 - .48845518*00 - .45476079*00 -

COLS 45 *** 49 .24751657+00

.24445832+00 .24026075+00

.23500371+00

.22878424+00

.22171287+00 .21390970+00

.20550031+00

COLS 50 *** 54 .56283295+00

.59277357+00

.62111893+00

.64758361+00

.67202087+00

.69440010+00

.71477670+00

.73326229+00

COLS 55 *** 59 .84162122+00

.52440055+00 .25334713+00

. 44703484-07

57925969+00 61791137+00

.65542170+00 .69146247+00 72574694+00

.75803643+00

.78814468+00

.81593992+00

.18126924+00

.25918178+00

.32967995+00

.39346935+00

.45118837+00

.50341469+00

.55067104+00

.59343034+00

.43101119+00

.59191008+00 .77619839+00

.99999996+00

.53760290-01 .11430009+00

.17975718+00

.24410851+00

.30473655+00

. 36066762+00

.41171192+00

.45804480+00

.59063463+00

.62959090+00

.66483998+00

.69673468+00

.72559419+00

.75170735+00

.77533552+00

,79671517-rOO

.25334708+00 .38532047+00

. 52440049+00

.67448971+00

.81873076+00

.74081822+00

.67032005+00

.60653066+00

.54881164+00

.49658531+00 .44932897+00

.40656966+00

.15851939+00

.23582274+00

.31084341+00

.38292494+00

.45149389+00

.51607287+00

.57628936+00

.63187984+00

.54983399+00

.57444251+00

.59868766+00

.62245933+00

.64565630+00

.66818777+00

.68997448+00

.71094950+00

. 20000000+00

. 30000000+00

.39999999+00

. 50000000+00
OMNITAB 80 TEST 35 PROB DENS, CUMUL DIST AND PERCENT PT. (7.1), (7.2) AND (7.3) PAGE 5

LIST OF DATA, INSTRUCTIONS AND DIAGNOSTICS

.42236416+00

.39139469+00 .36194384+00

.33406930+00

.25334708+00

. 52440049+00

.84162118+00

.12815515+01 READ RESULTS INTO COLS 60 64 -.13763819+01 -.72654254+00

-.32491972+00

-.15893255-07

.32491967+00

. 72654244+00

.13763818+01

.30776831+01

$NORMAL UNIFORM

CAUCHY EXPONENTIAL DEXPONENTIAL

LOGISTIC

NORMAL LOGNORMAL HALFNORMAL UNIFORM

CAUCHY

EXPONENTIAL

.22314354+00

.35667494+00

.51082561+00 .69314715+00

.91629072+00

.12039728+01

.16094378+01

.23025850+01

.12883304+01

.16894457+01 .23201253+01

.36022243+01

-.91629074+00

-.51082563-00

-.22314356+00

-.74505806-08 .22314354+00

.51082558+00

.91629064+00

.16094378+01

.84162122+00

.10364333+01

.12815515+01 .16448535+01

-.13862944+01 .84729788+00

.40546514+00

-.37252904-07 .40546508+00

.84729780+00

.13862943+01

.21972245+01

. 59999999+00

.69999999+00

.79999999+00

.89999999+00

.47588500+00

.18562676+00

.87421557-01 .36651292+00

.67172699+00

. 10309304+01

.14999399-01

.22503673+01

DENSITY

DENSITY

DENSITY

DENSITY

DENSITY

DENSITY

OF COLUMN

OF COLUMN

OF COLUMN

OF COLUMN OF COLUMN

OF COLUMN CUMULATIVE OF COLUMN CUMULATIVE OF COLUMN CUMULATIVE OF COLUMN CUMULATIVE OF COLUMN CUMULATIVE OF COLUMN CUMULATIVE OF COLUMN DEXPONENTIAL CUMULATIVE OF COLUMN LOGISTIC CUMULATIVE OF COLUMN

NORMAL PERCENTILE OF COLUMN LOGNORMAL PERCENTILE OF COLUMN

HALFNORMAL PERCENTILE OF COLUMN

UNIFORM PERCENTILE OF COLUMN CAUCHY PERCENTILE OF COLUMN

EXPONENTIAL PERCENTILE OF COLUMN DEXPONENTIAL PERCENTILE OF COLUMN

LOGISTIC PERCENTILE OF COLUMN

$ FROM

FROM

FROM FROM

COL

COL COL

COL

SUBTRACT COL 41 SUBTRACT COL 42 SUBTRACT COL 43 SUBTRACT COL 44 SUBTRACT COL 45 FROM COL SUBTRACT COL 46 FROM COL SUBTRACT COL 47 FROM COL SUBTRACT COL 48 FROM COL SUBTRACT COL 49 FROM COL

SUBTRACT COL 50 FROM COL 20 AND PUT SUBTRACT COL 51 FROM COL 21 AND PUT SUBTRACT COL 52 FROM COL 22 AND PUT SUBTRACT COL 53 FROM COL 23 AND PUT

11 AND PUT

12 AND PUT

13 AND PUT

14 AND PUT

15 AND PUT

16 AND PUT

17 AND PUT

18 AND PUT

19 AND PUT

PUT PUT

PUT

PUT

PUT

PUT

PUT

PUT PUT

PUT

PUT

PUT

PUT

PUT

PUT

PUT PUT

PUT

PUT

PUT

PUT

PUT

IN

IN

ININ

ININ

ININ

IN

IN

ININ

IN COLUMN

IN COLUMN

IN COLUMN

IN COLUMN

IN COLUMN

IN COLUMN

IN COLUMN

IN COLUMN

IN COLUMN

IN COLUMN

IN COLUMN 21 IN COLUMN 22

IN COLUMN

IN COLUMN

IN COLUMN

IN COLUMN

IN COLUMN

IN COLUMN

IN COLUMN

IN COLUMN

IN COLUMN

IN COLUMN

COL 71 COL 72 COL 73 COL 74 COL 75 COL 76 COL 77 COL 78 COL 79 COL 80 COL 81 COL 82

IN COL 83

162
OMNITAB 80 TEST 35 PROB DENS, CUMUL DIST AND PERCENT PT. (7.1), (7.2) AND (7.3) PAGE 6

LIST OF DATA, INSTRUCTIONS AND DIAGNOSTICS

SUBTRACT COL 54 FROM COL 24 AND PUT IN COL 84 SUBTRACT COL 56 FROM COL 26 AND PUT IN COL 86 SUBTRACT COL 57 FROM COL 27 AND PUT IN COL 87 SUBTRACT COL 58 FROM COL 28 AND PUT IN COL 88 SUBTRACT COL 59 FROM COL 29 AND PUT IN COL 89 SUBTRACT COL 60 FROM COL 30 AND PUT IN COL 90 SUBTRACT COL 61 FROM COL 31 AND PUT IN COL 91 SUBTRACT COL 62 FROM COL 32 AND PUT IN COL 92 SUBTRACT COL 63 FROM COL 33 AND PUT IN COL 93

$PARSUM COL 71 AND PUT IN COL 101 PARSUM COL 72 AND PUT IN COL 102 PARSUM COL 73 AND PUT IN COL 103 PARSUM COL 74 AND PUT IN COL 104 PARSUM COL 75 AND PUT IN COL 105 PARSUM COL 76 AND PUT IN COL 106 PARSUM COL 77 AND PUT IN COL 107 PARSUM COL 78 AND PUT IN COL 108 PARSUM COL 79 AND PUT IN COL 109 PARSUM COL 80 AND PUT IN COL 110 PARSUM COL 81 AND PUT IN COL 111 PARSUM COL 82 AND PUT IN COL 112 PARSUM COL 83 AND PUT IN COL 113 PARSUM COL 84 AND PUT IN COL 114 PARSUM COL 86 AND PUT IN COL 116 PARSUM COL 87 AND PUT IN COL 117 PARSUM COL 88 AND PUT IN COL 118 PARSUM COL 89 AND PUT IN COL 119 PARSUM COL 90 AND PUT IN COL 120 PARSUM COL 91 AND PUT IN COL 121 PARSUM COL 92 AND PUT IN COL 122 PARSUM COL 93 AND PUT IN COL 123

$TITLE1 EXAMPLES OF PROBABILITY DENSITY FUNCTIONS

TITLE3 X NORMAL UNIFORM CAUCHY

TITLE4 EXPONENTIAL DEXPONENTIAL LOGISTIC

PRINT COLUMN 1 AND COLUMNS 11***16 SPACE 3 NOTE ***************************************************************************

SPACE

NOTE THE FOLLOWING VALUES MUST BE EQUAL TO OR NEAR ZERO. SPACE ABRIDGE ROW 1 OF COLUMNS 101 *** 103 ABRIDGE ROW 1 OF COLUMNS 104 *** 106 SPACE

NOTE ***************************************************************************

$TITLE1 EXAMPLES OF CUMULATIVE DISTRIBTION FUNCTIONS

TITLE3 X NORMAL LOGNORMAL HALFNORMAL

TITLE4 UNIFORM

163
OMNITAB 80 TEST 35 PROB DENS, CUMUL DIST AND PERCENT PT. (7.1), (7.2) AND (7.3) PAGE 7

LIST OF DATA, INSTRUCTIONS AND DIAGNOSTICS

PRINT COLUMN 1 AND COLUMNS 17***20 SPACE 3 N0TE1 X CAUCHY EXPONENTIAL DEXPONENTIA

N0TE2L LOGISTIC

PRINT NOTE NPRINT COLUMN 1 AND COLUMNS 21***24

SPACE 3 NOTE ***************************************************************************

SPACE

NOTE THE FOLLOWING VALUES MUST BE EQUAL TO OR NEAR ZERO. SPACE ABRIDGE ROW 1 OF COLUMNS 107 *** 110 ABRIDGE ROW 1 OF COLUMNS 111 *** 114 SPACE

NOTE ***************************************************************************

$TITLE1 EXAMPLES OF PERCENT POINT FUNCTIONS

PRINT COLUMN 1 AND COLUMNS 26***29

SPACE 3 PRINT NOTE

NPRINT COLUMN 1 AND COLUMNS 30***33 SPACE 3 NOTE ***************************************************************************

SPACE NOTE THE FOLLOWING VALUES MUST BE EQUAL TO OR NEAR ZERO. SPACE ABRIDGE ROW 1 OF COLUMNS 116 *** 119 ABRIDGE ROW 1 OF COLUMNS 120 *** 123 SPACE

NOTE ***************************************************************************

NATIONAL BUREAU OF STANDARDS. WASHINGTON, D. C. 20234 OMNITAB 80 VERSION 6.00 MARCH 2, 1981

164
OMNITAB 80 TEST 36 PROB DENS, CUMUL DIST AND PERCENT PT. (7.1), (7.2) AND (7.3) PAGE EXAMPLES OF CUMULATIVE DISTRIBUTION FUNCTIONS.

X LAMBDA DEN GAMMA LAMBDA WE I BULL PARETO COLUMN 1 COLUMN 11 COLUMN 12 COLUMN 13 COLUMN 14 COLUMN 15

. 20000000

. 30000000

. 39999999

. 50000000

. 59999999

.69999999

. 79999999

.89999998

.35089626

.34755898

. 34285709

.33675984

.32922624

. 32020409

. 30962830

.29741726

.47291074

.56142197

.62890662 .68268950

.72667832

.76327643

.79409678 .82028750

.57053280 .60546780

. 64000034

.67399311 .70730495

.73978901 .77129269

.80165958

.36059268 .42173472

.46871439 .50693130

.53911036

.56684516

.59115828

.61274941

.087129067

.12294198 .15484574

.18350342

.20943058

.23303501 .25464400

.27452375

EXTREME COLUMN 16

. 10687792

. 16109809

. 20574066

.24311673 .27499717

.30263476

.32692189

.34850853

******************************************************************************************

THE FOLLOWING VALUES MUST BE EQUAL TO OR NEAR ZERO.

* 3.7252903-09 * 3.7252903-09 0. * 3.7252903-09 *-3. 7252903-09 * 5.5879354-09 ******************************************************************************************

EXAMPLES OF PERCENT POINT FUNCTIONS.

X

. 20000000

. 30000000

. 39999999

. 50000000

. 59999999

.69999999

.79999999

.89999998

GAMMA

.032092377 .074235929

.13749794

.22746821 .35416313

.53709706

.82118717 1.3527716

LAMBDA -.89442721 -.57787494

-.28428233

0..28428222

.57787490

.89442715 1.2649110

WE I BULL

. 049793044

.12721701

. 26094280

.48045301 .83958864

1.4495504 2.5902902

5.3018973

PARETO

1 . 5625000

2.0408163

2.7777777 4.0000000

6.2499996

11.111110 24.999997 99.999968

EXTREME

.38605710

.68986902 1.1910593 2.0813690

3.8322569

7.8605829

20.083124 90.083256

***************************************************************************

THE FOLLOWING VALUES MUST BE EQUAL TO OR NEAR ZERO.

* 4.6566129-10 *-7. 4505806-09 * 6.5192580-09 0. 0. ***************************************************************************

165
OMNITAB 80 TEST 36 PROB DENS, CUMUL DIST AND PERCENT PT. (7.1), (7.2) AND (7.3) PAGE 2

LIST OF DATA, INSTRUCTIONS AND DIAGNOSTICS

DIMENSION 10 X 100

$

$

$ LAMBDA DENSITY,

$

$

GAMMA CUMULATIVE, GAMMA

LAMBDA CUMULATIVE, LAMBDA WEIBULL CUMULATIVE, WEIBULL

PARETO CUMULATIVE, PARETO

EXTREME CUMULATIVE, EXTREME

READ X INTO COLUMN

. 20000000+00

. 30000000+00

. 39999999+00

. 50000000+00

.59999999+00

.69999999+00

.79999999+00

. 89999999+00

1 AND RESULTS 35089626+00

34755898+00 34285709+00

33675984+00

32922624+00

32020409+00

30962830+00

29741726+00

INTO COLS 31 .47291074+00

.56142197 t 00 .62890662+00

.68268949+00

.72667832+00

.76327642t00

.79409678+00

.82028750+00

*** 34 .57053280+00

.60546780*00

. 64000034+00

.67399311+00

.70730495+00

.73978901+00

.77129269+00

.80165958+00

INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION

NRMAX HAS BEEN RESET FROM TO 8.

PERCENTILE

PERCENTILE

PERCENTILE PERCENTILE

PERCENTILE

.36059268+00

.42173472+00

.46871439+00 .50693130*00

.53911038+00

.56684516+00 .59115829+00

.61274943+00

READ RESULTS INTO iZOLS 35 *** 39 .87129071-01 .10687792+00 .32092377-01 -.89442721*00 .49793038-01 .12294199+00 . 16109809+00 .74235929-01 -.57787494+00 .12721701+00

.15484574+00 .20574066+00 .13749794+00 -.28428230+00 .26094281+00 .18350342+00 .24311673+00 .22746821+00 -.29802322-07 .48045297+00

.20943059+00 .27499717+00 .35416314+00 .28428227+00 .83958867+00

.23303501+00 . 30263476+00 .53709705+00 .57787490+00 . 14495504+01 .25464401+00 .32692190+00 .82118717+00 .89442715+00 .25902901+01 .27452375+00 .34850854+00 .13527717+01 .12649110+01 .53018977+01 READ RESULTS INTO iCOLS 40 *** 41 .15625000+01 .38605710+00

.20408163+01 .68986901+00

.27777777+01 .11910593+01

.39999998+01 .20813689+01

.62499998+01 .38322571+01 .11111110+02 .78605829+01 .24999995+02 .20083124+02

.99999982+02 .90083270+02

ADD 1.0 TO COLUMN

$

1 AND PUT IN COLUMN 2

$LAMBDA DENSITY OF COL 1 WITH PARAMETER 0.5 PUT IN COL 11 GAMMA CUMULATIVE OF COL 1 WITH PARAMETER 0.5 PUT IN COL 12 LAMBDA CUMULATIVE OF COL 1 WITH PARAMETER 0.5 PUT IN COL 13 WEIBULL CUMULATIVE OF COL 1 WITH PARAMETER 0.5 PUT IN COL 14 PARETO CUMULATIVE OF COL 2 WITH PARAMETER 0.5 PUT IN COL 15 EXTREME CUMULATIVE OF COL 1 WITH PARAMETER 0.5 PUT IN COL 16 GAMMA PERCENTILE OF COI 1 WITH PARAMETER 0.5 PUT IN COL 17

166
OMNITAB 80 TEST 36 PROB DENS, CUMUL DIST AND PERCENT PT. (7.1), (7.2) AND (7.3) PAGE 3

LIST OF DATA, INSTRUCTIONS AND DIAGNOSTICS

LAMBDA PERCENTILE OF COL WEIBULL PERCENTILE OF COL PARETO PERCENTILE OF COL

EXTREME PERCENTILE OF COL

$SUBTRACT COL 31 FROM COL SUBTRACT COL 32 FROM COL SUBTRACT COL 33 FROM COL SUBTRACT COL 34 FROM COL SUBTRACT COL 35 FROM COL SUBTRACT COL 36 FROM COL SUBTRACT COL 37 FROM COL SUBTRACT COL 38 FROM COL SUBTRACT COL 39 FROM COL SUBTRACT COL 40 FROM COL SUBTRACT COL 41 FROM COL

$PARSUM COL 51 AND PUT IN PARSUM COL 52 AND PUT IN PARSUM COL 53 AND PUT IN PARSUM COL 54 AND PUT IN PARSUM COL 55 AND PUT IN PARSUM COL 56 AND PUT IN PARSUM COL 57 AND PUT IN PARSUM COL 58 AND PUT IN PARSUM COL 59 AND PUT IN PARSUM COL 60 AND PUT IN PARSUM COL 61 AND PUT IN

1 WITH PARAMETER 0.5 PUT IN COL 18

1 WITH PARAMETER 0.5 PUT IN COL 19

1 WITH PARAMETER 0.5 PUT IN COL 20

1 WITH PARAMETER 0.5 PUT IN COL 21

11 AND PUT

12 AND PUT

13 AND PUT

14 AND PUT

15 AND PUT

16 AND PUT

17 AND PUT

18 AND PUT

19 AND PUT

20 AND PUT

21 AND PUT

COL 81 COL 82 COL 83 COL 84 COL 85 COL 86 COL 87 COL 88 COL 89 COL 90 COL 91

IN COL 51 IN COL 52

IN COL 53

IN COL 54

IN COL 55

IN COL 56

IN COL 57

IN COL 58

IN COL 59

IN COL 60

IN COL 61

EXAMPLES OF CUMULATIVE

GAMMA LAMBDA EXTREME

TITLE1 TITLE2 DISTRIBUTION FUNCTIONS. TITLE3 X LAMBDA DEN TITLE4 WEIBULL PARETO

PRINT COLUMN 1 AND COLUMNS 11***16 SPACE 3 NOTE ]************************************************************

N0TE2 ******************************

PRINT NOTE SPACE

NOTE THE FOLLOWING VALUES MUST BE EQUAL TO OR NEAR ZERO. SPACE ABRIDGE ROW 1 OF COLUMNS 81 *** 86 SPACE PRINT NOTE SPACE 3 NOTE EXAMPLES OF PERCENT POINT FUNCTIONS.

N0TE1 X GAMMA LAMBDA WEIBULL

N0TE2 PARETO EXTREME

PRINT NOTE

NPRINT COLUMN 1 AND COLUMNS 17***21

167
OMNITAB 80 TEST 36 PROB DENS, CUMUL DIST AND PERCENT PT. (7.1), (7.2) AND (7.3) PAGE 4

LIST OF DATA, INSTRUCTIONS AND DIAGNOSTICS

SPACE 3 NOTE ***************************************************************************

SPACE

NOTE THE FOLLOWING VALUES MUST BE EQUAL TO OR NEAR ZERO. SPACE ABRIDGE ROW 1 OF COLUMNS 87 *** 91 SPACE

NOTE ***************************************************************************

NATIONAL BUREAU OF STANDARDS. WASHINGTON, D. C. 20234 OMNITAB 80 VERSION 6.00 MARCH 2, 1981

168
OMNITAB 80 TEST 37 CUMULATIVE DIST AND PERCENT PT. (7.2) AND (7.3) EXAMPLES OF CUMULATIVE DISTRIBUTION FUNCTIONS

X BINOMIAL NEGBINOMIAL POISSON GEOMETRIC

COLUMN 1 COLUMN 11 COLUMN 12 COLUMN 13 COLUMN 14

PAGE 1

1 . 0000000

2.0000000

3 . 0000000 4.0000000

5.0000000

6.0000000

7.0000000

8.0000000

.069175296 * 1.7826192-13

.20608473 * 1.5875478-12

.41144888 * 9.8553578-12

.62964828 * 4.7887276-11

.80420779 * 1.9392983-10

.91330750

.96785734

.99001822

6.8073831-10

2.1272552-09

6.0328511-09

.091578195

.23810331 .43347012 .62883694

.78513039

.88932602

.94886638 .97863656

. 36000000

.48800000

. 59040000

.67232000

.73785600

.79028480

.83222784

.86578227

***************************************************************************

THE FOLLOWING VALUES MUST BE EQUAL TO OR NEAR ZERO.

* 4.6566129-09 *-9. 3132257-10 * 2.2351742-08 *-l .7296413-18 ***************************************************************************

EXAMPLES OF PERCENT POINT FUNCTIONS

BINOMIAL

1.0000000 2.0000000

3.0000000 4.0000000

5 . 0000000

6.0000000

7.0000000

8.0000000

NEGBINOMIAL

1 . 0000000

2 . 0000000

3.0000000 4.0000000

5.0000000

6.0000000

7.0000000

8.0000000

POISSON

1.0000000 2.0000000

3 . 0000000 4.0000000

5 . 0000000

6.0000000

7 . 0000000

8 . 0000000

GEOMETRIC

1.0000000 2.0000000

3 . 0000000 4.0000000

5 . 0000000

6.0000000

7.0000000

8.0000000

***************************************************************************

THE FOLLOWING VALUES MUST BE EQUAL TO OR NEAR ZERO.

0. 0. 0. 0. ***************************************************************************

169
OMNITAB 80 TEST 37 CUMULATIVE DIST AND PERCENT PT. (7.2) AND (7.3)

LIST OF DATA, INSTRUCTIONS .AND DIAGNOSTICS

PAGE

s

s BINOMIAL CUMULATIVE, BINOMIAL PERCENTILE

s NEGBINOMIAL CUMULATIVE, NEGBINOMIAL PERCENTILE

s POISSON CUMULATIVE, POISSON PERCENTILE

$

$

s

GEOMETRIC CUMULATIVE, GEOMETRIC PERCENTILE

READ IN JJF RESULTS

READ X INTO COLUMN 1 AND RESULTS INTO COLS 2 *** 5 .10000000-01 .69175291-01 .91578196-01 .35999998-00 .17826365-12

.20000000-01 .20608472-00 .23810331-00 .48799998-00 .15875513-11

.30000000-01 .41144886-00 .43347012-00 .59039998-00 .98553648-11

.40000000-01 .62964826-00 .62883694-00 .67231998-00 .47887297-10

.50000000-01 .80420779-00 .78513039-00 .73785599-00 . 19392992-09

.60000000-01 .91330748-00 .88932602-00 .79028478-00 .68073865-09

.70000000-01 .96785733-00 .94886638-00 .83222783-00 .21272560-08

.80000000-01 .99001821-00 .97863656-00 .86578226-00 .60328530-08

.10000000-01 . 10000000-01 .10000000-01 .10000000-01

.20000000-01 .20000000-01 .20000000-01 .20000000-01

.30000000-01 .30000000-01 .40000000-01 .30000000-01

.40000000-01 .40000000-01 .40000000-01 .40000000-01

.50000000-01 .50000000-01 .60000000-01 .50000000-01

.60000000-01 .60000000-01 .70000000-01 .60000000-01

.70000000-01 .70000000-01 .80000000-01 .70000000-01

.80000000-01 .80000000-01 .90000000-01 .80000000-01

INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION

NRMA.X EAS BEEN RESET FROM TO 16.

MOVE ROW 1 OF COL MOVE ROW 9 OF COL RESET NRM.AX TO 8

SIZE 8X4 TO ROW

SIZE 8X4 TO ROft

1 OF COL 21

1 OF COL 25

INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION

NRM.AX HAS BEEN RESET FROM 16 TO 8.

5BINOMIAL CUMULATIVE OF COL 1 WITH N =20., P = 0.2, PUT IN COL 11 POISSON CUMULATIVE OF COL 1 WITH LAMBDA = 4.0. PUT IN COL 13 GEOMETRIC CUMULATIVE OF COL 1 WITH P = 0.2. PUT IN COL 14 NEGBINOMIAL CUMULATIVE OF COL 1 WITH N =20.. P = 0.2, PUT IN COL 12 BINOMIAL PERCENTILE OF COL 11 WITH N = 20. . P = 0.2, PUT IN COL 15 POISSON PERCENTILE OF COL 13 WITH LAMBDA = 4.0. PUT IN COL 17 GEOMETRIC PERCENTILE OF COL 14 WITH P = 0.2, PUT IN COL 18 NEGBINOMIAL PERCENTILE OF COL 12 WITH N =20.. P = 0.2, PIT IN COL lo

SUBTRACT COL 21 FROM COL 11 AND PIT IN COL 31 SUBTRACT COL 22 FROM COL 13 AND PIT IN COL 32 SUBTRACT COL 23 FROM COL 14 .AND PUT IN COL 33 SUBTRACT COL 24 FROM COL 12 AND PUT IN COL 34

170
OMNI TAB 80 TEST 37 CUMULATIVE DIST AND PERCENT PT. (7.2) AND (7.3) PAGE 3

LIST OF DATA, INSTRUCTIONS AND DIAGNOSTICS

SUBTRACT COL 25 FROM COL 15 AND PUT IN COL 35 SUBTRACT COL 26 FROM COL 17 AND PUT IN COL 36 SUBTRACT COL 27 FROM COL 18 AND PUT IN COL 37 SUBTRACT COL 28 FROM COL 16 AND PUT IN COL 38

$PARSUM COL 31 AND PUT IN COL 41 PARSUM COL 32 AND PUT IN COL 42 PARSUM COL 33 AND PUT IN COL 43 PARSUM COL 34 AND PUT IN COL 44 PARSUM COL 35 AND PUT IN COL 45 PARSUM COL 36 AND PUT IN COL 46 PARSUM COL 37 AND PUT IN COL 47 PARSUM COL 38 AND PUT IN COL 48

$

$TITLE1 EXAMPLES OF CUMULATIVE DISTRIBUTION FU TITLE2NCTI0NS

TITLE3 X BINOMIAL NEGBINOMIAL POISSON

TITLE4 GEOMETRIC

PRINT COLUMN 1 AND COLUMNS 11***14 SPACE 3 NOTE ***************************************************************************

SPACE

NOTE THE FOLLOWING VALUES MUST BE EQUAL TO OR NEAR ZERO. SPACE ABRIDGE ROW 1 OF COLUMNS 41 *** 44 SPACE NOTE ***************************************************************************

SPACE 3 NOTE EXAMPLES OF PERCENT POINT FUNCTIONS

N0TE1 BINOMIAL NEGBINOMIAL POISSON

N0TE2 GEOMETRIC

PRINT NOTE NPRINT COLUMN 19 AND COLUMNS 15***18 SPACE 3 NOTE ***************************************************************************

SPACE

NOTE THE FOLLOWING VALUES MUST BE EQUAL TO OR NEAR ZERO. SPACE ABRIDGE ROW 1 OF COLUMNS 45 *** 48 SPACE NOTE ***************************************************************************

NATIONAL BUREAU OF STANDARDS. WASHINGTON, D. C. 20234 OMNITAB 80 VERSION 6.00 MARCH 2, 1981

171
OMNITAB 80 TEST 38 CUMULATIVE DISTRIBUTION AND PERCENT FT. (7.2) AND (7.3) PAGE 1 EXAMPLES OF CUMULATIVE DISTRIBUTION FUNCTIONS

X T CHI SQUARED F COLUMN 1 COLUMN 11 COLUMN 12 COLUMN 13

.20000000 .57531974 .00088611276 .049036206

.30000000 .61187547 .0023570045 .10375355

.39999999 .64716344 .0046705807 .16674804

.50000000 .68085057 .0078768630 .23197282

.59999999 .71266985 .011996927 .29580291

.69999999 .74242552 .017031450 .35625157 .79999999 .76999296 .022966755 .41236100

.89999998 .79531439 .029778413 .46379254

***************************************************************************

THE FOLLOWING VALUES MUST BE EQUAL TO OR NEAR ZERO.

* 7.4505806-09 0. *-4. 6566 129- 10 it**************************************************************************

EXAMPLES OF PERCENT POINT FUNCTIONS

X T CHISQUARED

.20000000 -.91954378 2.3425343

.30000000 -.55942965 2.9999081

.39999999 -.26718090 3.6554995

.50000000 0. 4.3514602

.59999999 .26718083 5.1318669

.69999999 .55942961 6.0644299

.79999999 .91954374 7.2892760

.89999998 1.4758839 9.2363565

THE FOLLOWING VALUES MUST BE EQUAL TO OR NEAR ZERO.

*-7. 4505806-09 * 2.9802322-08

172
OMNITAB 80 TEST 38 CUMULATIVE DISTRIBUTION AND PERCENT PT. (7.2) AND (7.3) EXAMPLE OF CUMULATIVE DISTRIBUTION FUNCTION

X A B BETA COLUMN 1 COLUMN 11 COLUMN 12 COLUMN 21

.10000000 .50000000 .50000000 .20483276

.20000000 .50000000 3.5000000 .77254718 .30000000 1.0000000 2.0000000 .51000000

.40000000 18.500000 1.0000000 * 4.3462010-08

.50000000 22.500000 10.000000 .012168825

.60000000 10.000000 17.500000 .99396206

.70000000 60.000000 60.500000 .99999809

.80000000 50.500000 100.00000 1.0000000

.90000000 1.0000000 .50000000 .68377223

••ft************************************************************************

THE FOLLOWING VALUES MUST BE EQUAL TO OR NEAR ZERO.

*-7. 4505806-09 * 2.9064735-08 ***************************************************************************

PAGE

173
OMNITAB 80 TEST 38 CUMULATIVE DISTRIBUTION AND PERCENT PT. (7.2) AND (7.3)

LIST OF DATA, INSTRUCTIONS AND DIAGNOSTICS

PAGE

$

$ T CUMULATIVE., T PERCENTILE

$ CHI SQUARED CUMULATIVE , CHI SQUARED PERCENTILE

$ F CUMULATIVE

$ BETA CUMULATIVE

READ X INTO COLUMN 1 AND RESULTS INTO COLS 2 *** 5

. 20000000+00 .57531974+ 00 .88611276-03 .49036207-01 -.91954378+00

. 30000000+00 .61187547+00 .23570045-02 .10375355+00 -.55942965+00

. 39999999+00 .64716344+00 .46705770-02 .16674804-00 -.26718088-00

. 50000000+00 .68085056+00 .78768645-02 .23197281+00 -.98135527-08

. 59999999+00 .71266985+00 .11996925-01 .29580291+00 .26718085-00 .69999999+00 .74242552+00 .17031450-01 .35625157+00 .55942960-00 .79999999+00 .76999296+00 .22966755-01 .41236100+00 .91954374-00

. 89999999+00 .79531439+00 .29778411-01 .46379254+00 .14758840-01

.23425343+01 .29999081+01

.36554996+01

.43514602+01

.51318670+01

.60644298+01

.72892759+01

.92363566+01

INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION

NRMAX HAS BEEN RESET FROM TO 16.

MOVE ROW 1 OF COL MOVE ROW 9 OF COL RESET NRMAX TO 8

2 SIZE 8X4 TO ROW 1 OF COL 21

1 SIZE 8X1 TO ROW 1 OF COL 25

5.0 D.F. PUT IN COL 11 5.0 D.F. PUT IN COL 12 5.0 AND 6.0 D.F. PUT IN COL 13 5.0 D.F. PUT IN COL 14 5.0 D.F. PUT IN COL 15

INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION

NRMAX HAS BEEN RESET FROM 16 TO 8.

$T CUMULATIVE OF COL 1 WITH CHISQUARED CUMULATIVE OF COL 1 WITH

F CUMULATIVE OF COL 1 WITH

T PERCENTILE OF COL 1 WITH CHISQUARED PERCENTILE OF COL 1 WITH

SUBTRACT COL 21 FROM COL 11 AND PUT IN COL 31 SUBTRACT COL 22 FROM COL 12 AND PUT IN COL 32 SUBTRACT COL 23 FROM COL 13 AND PUT IN COL 33 SUBTRACT COL 24 FROM COL 14 AND PUT IN COL 34 SUBTRACT COL 25 FROM COL 15 AND PUT IN COL 35

$PARSUM COL 31 AND PUT IN COL 41 PARSUM COL 32 AND PUT IN COL 42 PARSUM COL 33 AND PUT IN COL 43

174
OMNITAB 80 TEST 38 CUMULATIVE DISTRIBUTION AND PERCENT PT. (7.2) AND (7.3) PAGE 4

LIST OF DATA, INSTRUCTIONS AND DIAGNOSTICS

PARSUM COL 34 AND PUT IN COL 44 PARSUM COL 35 AND PUT IN COL 45

$TITLE1 EXAMPLES OF CUMULATIVE DISTRIBUTION FUNCTIONS

TITLE3 X T CHI SQUARED F PRINT COLUMN 1 AND COLUMNS 11***13 SPACE 3 NOTE ***************************************************************************

SPACE NOTE THE FOLLOWING VALUES MUST BE EQUAL TO OR NEAR ZERO. SPACE ABRIDGE ROW 1 OF COLS 41***43

SPACE

NOTE ***************************************************************************

SPACE 3 NOTE EXAMPLES OF PERCENT POINT FUNCTIONS

NOTE X T CHI SQUARED

SPACE

$NPRINT COLUMN 1 AND COLUMNS 14 AND 15 SPACE 3 NOTE ***************************************************************************

SPACE NOTE THE FOLLOWING VALUES MUST BE EQUAL TO OR NEAR ZERO. SPACE ABRIDGE ROW 1 OF COLS 44 AND 45 SPACE

NOTE ***************************************************************************

GENERATE NOS STARTING WITH .1 IN STEPS OF 0.1 THRU .9 IN COL 1

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM 8 TO 9.

SET NUMERATOR DEGREES OF FREEDOM INTO COL 2

1, 7, 4, 2, 20, 35, 121, 200 AND 1 SET DENOMINATOR DEGREES OF FREEDOM INTO COL 3

1, 1, 2, 37, 45, 20, 120, 101 AND 2 DIVIDE COL 3 BY 2.0 AND PUT A IN COL 11 DIVIDE COL 2 BY 2.0 AND PUT B IN COL 12 BETA CUMULATIVE OF COL 1, A= COL 11, B= COL 12 PUT IN COL 21

$

$ COMPUTE F

$DIVIDE COL 3 BY COL 2 AND PUT IN COL 4 SUBTRACT COL 1 FROM 1.0 AND PUT IN COL 5 DIVIDE COL 5 BY COL 1 AND PUT IN COL 6 MULTIPLY COL 4 BY COL 6 AND PUT IN COL 10 F PROBABILITY COL 2, 3, 10, PUT IN 22 F CUMULATIVE COL 10, 2, 3 AND PUT IN 23 SUBTRACT COL 23 FROM 1.0 AND PUT IN COL 24

175
OMN'ITAB 80 TEST 38 CUMULATIVE DISTRIBUTION AND PERCENT PT. (7.2) AND (7.3) PAGE 5

LIST OF DATA, INSTRUCTIONS AND DIAGNOSTICS

SUBTRACT COL 21 FROM 22 AND PUT IN COL 31 SUBTRACT COL 21 FROM COL 24 AND PUT IN COL 32 SUM COL 31 AND PUT IN COL 41 SUM COL 32 AND PUT IN COL 42 TITLE1 EXAMPLE OF CUMULATIVE DISTRIBUTION FUNCTION

TITLE3 X A B BETA PRINT COLUMN 1 AND COLUMNS 11. 12 AND 21 SPACE 3 NOTE ***************************************************************************

SPACE NOTE THE FOLLOWING VALUES MUST BE EQUAL TO OR NEAR ZERO. SPACE ABRIDGE ROW 1 OF COLS 41 AND 42 SPACE NOTE ***************************************************************************

NATIONAL BUREAU OF STANDARDS. WASHINGTON, D. C. 20234 OMNITAB 80 VERSION 6.00 MARCH 2, 1981

176
OMNITAB 80 TEST 39 RANDOM NUMBER INSTRUCTIONS. (7.4) PAGE 1

COLUMN 1 COLUMN 2 COLUMN 3 COLUMN 4 COLUMN 5

.38174057 5.0680000 .97418261 1.0396345 .0037880444 1.0018944 .56210667 1.4778752 .50540576 2.3000000

.81148265 -.022678865 -.012298160 1.6512011 2.5760000

-.055414933 1.1417662 4.9159999 .034876147 2.0216545

***************************************************************************

THE FOLLOWING VALUE MUST BE EQUAL TO OR NEAR 6.594304.

6.5943040 it*************************************************************************

177
OMNI TAB 80 TEST 39 RANDOM NUMBER INSTRUCTIONS. (7.4) UNIFORM RANDOM NUMBERS STARTING VALUE

1.0 3473.0 NOS IN COL 1 3473.0 COLUMN 1 COLUMN 2 COLUMN 3 COLUMN 4

PAGE

.031860352 .033569336

.56024170

.78155518 .78375244

.21527100

.24884033

.80908203

.59063721 .37438965

.031860352 .033569336

.56024170

.78155518 .78375244

.21527100

.24884033

.80908203

.59063721 .37438965

.011657715

.41015625 .53076172

.53369141 .091735840

.38604736

.79620361 .32696533 .86065674

.95239258

.011657715

.41015625 .53076172

.53369141 .091735840

.38604736

.79620361 .32696533 .86065674

.95239258

.12353516

.12524414 .65191650

.87322998

.87542725

.075927734

.20117188

.85308838 .72631836

.60174561

.12353516

.12524414 .65191650

.87322998

.87542725

.075927734

.20117188

.85308838 .72631836

.60174561

.10333252

.50183105

.62243652

.62536621 .18341064

.70507813

.20690918 .82934570

.45471191 .63812256

.10333252

.50183105

.62243652

.62536621 .18341064

.70507813

.20690918 .82934570

.45471191 .63812256

FIRST TWENTY SECOND TWENTY FIRST FORTY

THE FOLLOWING VALUE MUST BE EQUAL TO OR NEAR ZERO.

0. •••a*********************************************************************

178
OMNITAB 80 TEST 39 RANDOM NUMBER INSTRUCTIONS. (7.4)

LIST OF DATA, INSTRUCTIONS AND DIAGNOSTICS

PAGE

DIMENSION 250 X 8 RESET 250

INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION NRMAX HAS BEEN RESET FROM TO 250.

BETA RANDOM WITH PARAMETERS =3. AND

BINOMIAL RANDOM WITH N = 10. AND PARAM CAUCHY RANDOM CHISQUARED RANDOM WITH PARAM

5.

= 0.5

IN COLUMN

IN COLUMN

IN COLUMN

1.0 IN COLUMN

DEXPONENTIAL RANDOM IN COLUMN

1 /AVERAGE COLUMN 1 PUT RESULT IN COLUMN 1 2/INCREMENT INSTRUCTION 1 BY 1 AND 1 PERFORM INSTRUCTIONS 1 THRU 2, 5 TIMES

MTRANSPOSE ROW 1 OF COLUMN 1 SIZE 1 BY 5 INTO ROW 1 OF COLUMN 8 EXPONENTIAL RANDOM EXTREME RANDOM

F RANDOM WITH D.F. = 5. AND D.F. GAMMA RANDOM WITH PARAM : GEOMETRIC RANDOM WITH PARAM ;

IN COLUMN

IN COLUMN

IN COLUMN

0.5 IN COLUMN

0.3 IN COLUMN

7.

1 /AVERAGE COLUMN 1 PUT RESULT IN COLUMN 1 PERFORM INSTRUCTIONS 1 THRU 2, 5 TIMES MTRANSPOSE ROW 1 OF COLUMN 1 SIZE 1 BY 5 INTO ROW 6 OF COLUMN 8 HALFNORMAL RANDOM IN COLUMN 1 LAMBDA RANDOM WITH PARAM = 0.5 IN COLUMN 2 LOGISTIC RANDOM IN COLUMN 3 LOGNORMAL RANDOM IN COLUMN 4 NEGBINOMIAL RANDOM WITH N = 10. AND PARAM = 0.8 IN COLUMN 5

1 /AVERAGE COLUMN 1 PUT RESULT IN COLUMN 1 PERFORM INSTRUCTIONS 1 THRU 2, 5 TIMES

MTRANSPOSE ROW 1 OF COLUMN 1 SIZE 1 BY 5 INTO ROW 11 OF COLUMN 8 NORMAL PARETO

POISSON

TWEI BULL

RANDOM

RANDOM

RANDOM

RANDOM RANDOM

WITH PARAM WITH PARAM WITH PARAM

WITH PARAM

IN COLUMN

8.0 IN COLUMN

5.0 IN COLUMN

10. IN COLUMN

0.5 IN COLUMN

1 /AVERAGE COLUMN 1 PUT RESULT IN COLUMN 1 PERFORM INSTRUCTIONS 1 THRU 2, 5 TIMES MTRANSPOSE ROW 1 OF COLUMN 1 SIZE 1 BY 5 INTO ROW 16 OF COLUMN 8

1 /AVERAGE COLUMN 1 PUT RESULT IN COLUMN 1 PERFORM INSTRUCTIONS 1 THRU 2, 5 TIMES MTRANSPOSE ROW 1 OF COLUMN 8 SIZE 5 BY MTRANSPOSE ROW 6 OF COLUMN 8 SIZE 5 BY MTRANSPOSE ROW 11 OF COLUMN 8 SIZE 5 BY MTRANSPOSE ROW 16 OF COLUMN 8 SIZE 5 BY RESET NRMAX = 4

1 INTO ROW 1 OF COLUMN 1 INTO ROW

INTO ROW

INTO ROW

OF COLUMN 1 OF COLUMN 1 OF COLUMN 1

INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION

NRMAX HAS BEEN RESET FROM 250 TO 4.

179
OMNITAB 80 TEST 39 RANDOM NUMBER INSTRUCTIONS. (7.4) PAGE 4

LIST OF DATA, INSTRUCTIONS AND DIAGNOSTICS

PRINT COLUMNS 1***5

ROW SUM COLUMN 1 THRU COLUMN 5 PUT IN COLUMN 6 AVERAGE COLUMN 6 INTO COLUMN 6 SPACE 2 NOTE ***************************************************************************

SPACE NOTE THE FOLLOWING VALUE MUST BE EQUAL TO OR NEAR 6.594304. SPACE ABRIDGE ROW 1 OF COLUMN 6 SPACE NOTE ***************************************************************************

RESET NRM.AX 20

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION -

NRM.AX HAS BEEN RESET FROM 4 TO 20.

UNIFORM RANDOM NUMBERS STARTING WITH 1.0 PUT IN COLUMN 1 UNIFORM RANDOM NUMBERS STARTING WITH THE 21 ST RANDOM NUMBER PUT IN COLUMN 2 RESET NRM.AX 40

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM 20 TO 40.

UNIFORM RANDOM NUMBERS, STARTING WITH INTEGER 1, PUT IN COLUMN 3 MOVE DATA STARTING IN ROW 21 OF COLUMN 3 SIZE 20X1 INTO ROW 1 OF COLUMN 4 RESET NRMAX 20

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX EAS BEEN RESET FROM 40 TO 20.

SUBTRACT COLUMN 2 FROM COLUMN 4 PUT IN COLUMN 5 TITLE 1 UNIFORM RANDOM NUMBERS STARTING VALUE

TITLE3 1.0 3473.0 NOS IN COL 1 3473.0

PRINT COLUMNS 1 *** 4 AVERAGE COLUMN 4 STORE IN COLUMN 4 SPACE 2 NOTE FIRST TWENTY SECOND TWENTY FIRST FORTY

SPACE 2 NOTE ***************************************************************************

SPACE NOTE THE FOLLOWING VALUE MUST BE EQUAL TO OR NEAR ZERO. SPACE ABRIDGE ROW 1 COLUMN 5 SPACE

NOTE ***************************************************************************

NATIONAL BUREAU OF STANDARDS. WASHINGTON, D. C. 20234 OMNITAB 80 VERSION 6.00 MARCH 2, 1981

180
OMNITAB 80 TEST 40 EXAMPLES OF SAMPLE WITH AND WITHOUT REPEAT. (7.6) PAGE 1

COLUMN 7 COLUMN 13

1 1

1 2

2 7

2 9

2 4

1 6

1 8

2 5 2 10

1 3

••a************************************************************************

THE FOLLOWING VALUES MUST BE EQUAL TO OX NEAR 1.5 AND 5.5

1.5 5.5

181
OMNI TAB 80 TEST 40 EXAMPLES OF SAMPLE WITH AND WITHOUT REPEAT. (7.6) PAGE

LIST OF DATA, INSTRUCTIONS AND DIAGNOSTICS

SAMPLE WITHR OF SIZE 10 FROM A POPULATION OF SIZE 2 PUT IN COL 7

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM TO 10.

SAMPLE WITHOLTR OF SIZE 10 FROM A POPULATION OF SIZE 10 PUT IN COL 13 FIXED 0, PRINT ZERO DIGITS AFTER DECIMAL PT. PRINT COLS 7 AND 13 AVERAGE COL 7 PUT IN COL 8 AVERAGE COL 13 PUT IN COL 9 FIXED 1, PRINT ONE DIGIT AFTER DECIMAL PT. SPACE 3 \ 07 £ ***************************************************************************

SPACE NOTE THE FOLLOWING VALUES MUST BE EQUAL TO OR NEAR 1.5 AND 5.5 SPACE ABRIDGE ROW 1 OF COLS 8 AND 9 SPACE NOTE ***************************************************************************

NATIONAL BUREAU OF STANDARDS. WASHINGTON, D. C. 20234 OMNITAB 80 VERSION 6.00 MARCH 2, 1981

182
OMNITAB 80 TEST 41 EXAMPLES OF ELLIPTICAL INTEGRAL OF ORDERS 1 AND 2. (8.1) PAGE

COL 1 COL 2 COL 3 COL 4 COL 5 COL 6 X K (X) E (X) Y K (Y) E (Y) ELLIPT 1ST ELLIPT 2ND Y=l-X ELLIPT 1ST ELLIPT 2ND

0.

. 050000000

. 10000000

.15000000

. 20000000

1 . 5707963 1.5910034

1.6124413 1.6352567

1.6596236

1.5707963 1.5509734

1.5307576

1.5101218

1.4890351

1 . 0000000

. 95000000

.90000001 .85000001

.80000001

0.2.9083373

2.5780921 2.3890165 2.2572054

1 . 0000000

1.0604737

1.1047747

1.1433958 1.1784899

. 25000000

. 30000000

. 35000000

. 40000000

. 45000000

1.6857504 1.7138894

1.7443506 1.7775194

1.8138839

1.4674622

1.4453631

1.4226911

1.3993921 1.3754020

.75000000

. 70000000

.65000001

.60000001

.55000001

1565157

0753631 0075984

9495678

8989249

1.2110560

1.2416706

1.2707075 1.2984280

1.3250245

. 50000000 1 . 8540747 1.3506439 . 50000000 1 . 8540747 1.3506439

**************************************************************************

LET Y=l-X, K(X) AND K(Y) ARE ELLIPTICAL INTEGRALS OF 1ST ORDER, AND E(X) AND E(Y) ARE ELLIPTICAL INTEGRALS OF 2ND ORDER, THEN E(X)*K(Y)+E(Y)*K(X)-K(X)*K(Y)=PI/2 (HANDBOOK OF MATH. FUNC. AMS 55 PG 591). THEREFORE THE FOLLOWING VALUE MUST BE EQUAL TO OR NEAR 1.5707963.

1.5707963 **************************************************************************

183
OMNITAB 80 TEST 41 EXAMPLES OF ELLIPTICAL INTEGRAL OF ORDERS 1 AND 2. (8.1) PAGE 2

LIST OF DATA, INSTRUCTIONS AND DIAGNOSTICS

GENERATE FROM 0. IN STEPS OF .05 THRU .5 IN COL 1

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM TO 11.

SUBTRACT COL 1 FROM 1.0 STORE IN COL 4 ELLIPTICAL FIRST ORDER OF COL 1 STORE IN COL 2 ELLIPTICAL SECOND ORDER OF COL 1 STORE IN COL 3 ELLIPTICAL FIRST ORDER OF COL 4 STORE IN COL 5

** ARITHMETIC FAULT IN ABOVE INSTRUCTION. ZERO RETURNED 1 TIMES

X FOR ELLIPTICAL INTEGRAL IS GREATER THAN OR EQUAL TO ONE.

ELLIPTICAL SECOND ORDER OF COL 4 STORE IN COL 6

** ARITHMETIC FAULT IN ABOVE INSTRUCTION. ZERO RETURNED 1 TIMES

SQRT, LOG OR RAISE OF NEGATIVE NUMBER.

TITLE 1 COL 1 COL 2 COL 3 COL 4 TITLE2 COL 5 COL 6 HEAD 1/ HEAD 2/ ELLIPT 1ST HEAD 3/ ELLIPT 2ND HEAD 4/ Y=l-X

HEAD 5/ ELLIPT 1ST HEAD 6/ ELLIPT 2ND TITLE3 X K (X) E (X) Y TITLE4 K (Y) E (Y) PRINT COLS 1***6 MULTIPLY COL 6 BY COL 2 STORE IN COL 7 SUBTRACT COL 2 FROM COL 3 MULTIPLY BY COL 5 ADD TO COL 7 AND STORE IN COL 7 AVERAGE COL 7 STORE IN COL 8 SPACE 2 NOTE **************************************************************************

SPACE NOTE LET Y=l-X, K(X) AND K(Y) ARE ELLIPTICAL INTEGRALS OF 1ST ORDER, NOTE AND E(X) AND E(Y) ARE ELLIPTICAL INTEGRALS OF 2ND ORDER, THEN

NOTE E(X)*K(Y)-E(Y)*K(X)-K(X)*K(Y)=PI/2 (HANDBOOK OF MATH. FUNC. AMS 55 PG 591). NOTE THEREFORE THE FOLLOWING VALUE MUST BE EQUAL TO OR NEAR 1.5707963. SPACE ABRIDGE ROW 1 COL 8 SPACE NOTE **************************************************************************

NATIONAL BUREAU OF STANDARDS. WASHINGTON, D. C. 20234 OMNITAB 80 VERSION 6.00 MARCH 2, 1981

184
OMNITAB 80 TEST 42 ERROR AND COMPLEMENTARY ERROR INSTRUCTIONS. (8.1) EXACT COMPUTED EXACT COMPUTED

X ERF(X) ERF(X) ERFC(X) ERFC(X) COLUMN 1 COLUMN 11 COLUMN 21 COLUMN 12 COLUMN 22

PAGE 1

0.

. 10000000

. 20000000

. 30000000

. 40000000

0..11246292 .22270259

.32862676 .42839236

0..11246292

.22270259 .32862676

.42839235

1 . 0000000

.88753709

.77729742

.67137325 .57160765

1 . 0000000

.88753708

.77729741 .67137324

.57160765

. 50000000

.59999999

. 70000000

. 80000000

. 90000000

.52049988 .60385609

.67780118

.74210095

.79690821

.52049988 .60385609 .67780119 .74210096

.79690821

.47950013

.39614391 .32219882

.25789905 .20309180

.47950012

.39614391

.32219881 .25789904

.20309179

1 . 0000000

1 . 1000000

1 . 2000000

1 . 3000000

1 . 4000000

. 84270079

.88020507

.91031398

. 93400794

.95228512

. 84270079

.88020507

.91031397

.93400794

.95228512

.15729922

.11979493

.089686021 .065992072

.047714889

.15729921 .11979493 .089686025 .065992055 .047714882

1 . 5000000

1 . 6000000

1 . 7000000

1 . 8000000

1 . 9000000

.96610515 .97634838

.98379046

.98909049 .99279042

.96610515

.97634839 .98379046

.98909050

.99279043

.033894852 .023651630

.016209543

.010909513

.0072095841

.033894854

.023651617

.016209542 .010909499 .0072095710

2 . 0000000 .99532226 .99532226 .0046777427 .0046777350

***********************************************************************

THE FOLLOWING VALUE MUST BE EQUAL TO OR NEAR ZERO.

* 4.2574746-09

*********************** >f*********^****************«**********»********

185
OMNITAB 80 TEST 42 ERROR AND COMPLEMENTARY ERROR INSTRUCTIONS. (8.1)

LIST OF DATA, INSTRUCTIONS AND DIAGNOSTICS

PAGE

GENERATE FROM 0. IN STEPS OF 1 THRU 20 PUT IN COL 1 $ 21 VALUES

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM TO 21.

DIVIDE COLUMN 1 BY 10.0 AND PUT IN COLUMN 1 SET IN COLUMN 11 $ AMS 55, 310-311 VALUES OF ERF 0.00000000 0.11246292 0.22270259 0.32862676 0.42839236 0.52049988 0.60385609 0.67780119 0.74210096 0.79690821 0.84270079 0.88020507

0.91031398 0.93400794 0.95228512 0.96610515 0.97634838 0.98379046 0.98909050 0.99279043 0.99532226

SUBTRACT COLUMN 11 FROM 1.0 AND PUT CERF IN COLUMN 12 ERROR OF COLUMN 1 PUT IN COLUMN 21 CERF OF COLUMN 1 PUT IN COLUMN 22 ADD COLUMN 21 TO COLUMN 22 AND PUT IN COLUMN 23 SUBTRACT COLUMN 23 FROM 1 . PUT IN COLUMN 33 AVERAGE COLUMN 33 PUT IN COLUMN 43 TITLE 1 EXACT COMPUTED EXACT

TITLE2 COMPUTED

TITLE3 X ERF(X) ERF(X) ERFC(X) TITLE4 ERFC(X) PRINT COLUMNS 1,11,21,12,22

SPACE 2 NOTE ***********************************************************************

SPACE NOTE THE FOLLOWING VALUE MUST BE EQUAL TO OR NEAR ZERO. SPACE ABRIDGE ROW 1 OF COLUMN 43 SPACE NOTE ***********************************************************************

NATIONAL BUREAU OF STANDARDS. WASHINGTON, D. C. OMNITAB 80 VERSION 6.00 MARCH 2, 20234

1981

186
OMNITAB 80 TEST 43 EXAMPLE OF GAMMA INSTRUCTION. (8.1)

X

PAGE 1

COLUMN 1

1.0000000

2 . 0000000

5 . 0000000

1 . 5000000

2 . 5000000

1 . 1050000 1.2250000

1.7350000

1.9950000 25.000000

-.50000000

-1.5000000

-2 . 5000000 -4.5000000

-1.7350000

. 50000000

. 75000000

. 25000000 -.75000000

-.25000000

-1

-1-2

-3

2500000

50399999 5730000 6110000

6350000

GAMMA(X) COLUMN 2

1.0000000

1.0000000 24.000000

.88622692

1 . 3293404

.94935418

.91191561

.91573621 .99789636

* 6.2044840+23

-3 . 5449077 2.3632718 -.94530872

-.060019601 2.6734055

1.7724538 1.2254167 3.6256099 -4.8341466

-4.9016668

3.9213335 -3.5446437

2.3024101 -.88813674

.24512766

GAMMA(2.5) COLUMN 3

1 . 3293404

1 . 3293404

1 . 3293404

1 . 3293404

1 . 3293404

1 . 3293404

1 . 3293404

1.3293404

1 . 3293404

1.3293404

1.3293404

1 . 3293404

1.3293404

1 . 3293404

1 . 3293404

1.3293404

1 . 3293404

1 . 3293404

1 . 3293404

1 . 3293404

1.3293404 1.3293404

1 . 3293404

1 . 3293404

1.3293404

***************************************************************************

THE FOLLOWING VALUE MUST BE EQUAL TO OR NEAR ZERO.

0. ***************************************************************************

187
OMNITAB 80 TEST 43 EXAMPLE OF GAMMA INSTRUCTION. (8.1) PAGE 2

LIST OF DATA, INSTRUCTIONS AND DIAGNOSTICS

SET IN COLUMN 1 1.000, 2.000, 5.000, 1.500, 2.500

1.105, 1.225, 1.735, 1.995, 25.000

-0.500, -1.500, -2.500. -4.500, -1.735

0.500. 0.750, 0.250, -0.750. -0.250

-1.250, -0.504, -1.573, -2.611, -3.635

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION -

NRMA.X HAS BEEN RESET FROM TO 25.

GAMMA OF COLUMN 1 PIT IN COLUMN 2 GAMMA OF 2.5 PUT IN COLUMN 3 TITLE3 X GAMMA(X) GAMMA (2. 5) PRINT COLUMNS 1 , 2 AND 3 SUBTRACT VALUE IN *5,2* FROM COL 3 PUT IN COL 4 AVERAGE COL 4 PUT IN COL 4 SPACE 3 NOTE ***************************************************************************

SPACE

NOTE THE FOLLOWING VALUE MUST BE EQUAL TO OR NEAR ZERO. SPACE ABRIDGE ROW 1 OF COL 4 SPACE

\,'OTE tit************************************************************************

NATIONAL BUREAU OF STANDARDS. WASHINGTON. D. C. 20234 OMNITAB 80 VERSION 6.00 MARCH 2, 1981
OMNITAB 80 TEST 44 SPECIAL INTEGRALS. (8.1)

COLUMN 1 EI(X) COLUMN 2 EXP(-X)EI(X) COLUMN 3 EN(X) COLUMN 4 EXP(X)EN(X) COLUMN 5

PAGE 1

1.0000000 1.8951178 2.0000000 4.9542344

3.0000000 9.9338325 5.0000000 40.185276

20.000000 * 2.5615653+07

.69717488

.67048271 .49457640

.27076625

.14849551 .037534262

.010641925

9 . 9646904-04

.052797795 * 9.4048564-11

.40365264

.27734277

.21374878 .14788912 .045629090

•a*****************************************************************

THE FOLLOWING VALUES SHOULD BE EQUAL TO OR NEAR ZERO.

* 3.2782555-07 * 1.1920929-08 ***************************************************************************

189
OMNI TAB 80 TEST 44 SPECIAL INTEGRALS. (8.1) PAGE 2

X CI(X) SI(X) CHI(X) SHI(X) COLUMN 1 COLUMN 2 COLUMN 3 COLUMN 4 COLUMN 5

1.0000000 .33740392 .94608307 .83786694 1.0572509 2.0000000 .42298083 1.6054130 2.4526669 2.5015674

3.0000000 .11962979 1.8486525 4.9603921 4.9734405 5.0000000 -.19002975 1.5499312 20.092063 20.093212 20.000000 .044419821 1.5482417 * 1.2807826-07 * 1.2807826-07

it************************************************************************

THE FOLLOWING VALUES SHOULD BE EQUAL TO OR NEAR .7344, 7.498 AND .25

.73440000 7.4980000 .25000000 ***************************************************************************

190
OMNITAB 80 TEST 44 SPECIAL INTEGRALS. (8.1) PAGE 3

LIST OF DATA, INSTRUCTIONS AND DIAGNOSTICS

SET IN COLUMN 1 1., 2., 3., 5., AND 20.

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM TO 5.

E INTEGRAL OF COLUMN 1 PUT IN COLUMN 2 NEGEINTEGRAL OF COLUMN 1 PUT IN COLUMN 3 DIVIDE COLUMN 2 BY COLUMN 3 PUT IN COLUMN 14 EXPONENTIAL OF COLUMN 1 PUT IN COLUMN 15 SUBTRACT COLUMN 15 FROM COLUMN 14 AND PUT IN COLUMN 14 AVERAGE COLUMN 14 PUT IN COLUMN 14 TITLE3 X EI(X) EXP(-X)EI(X) EN(-X) TITLE4 EXP(X)EN(X) EXPINTEGRAL FOR N = 2 OF COLUMN 1 PUT IN COLUMN 4 EEXP INTEGRAL FOR N = 2 OF COLUMN 1 PUT IN COLUMN 5 DIVIDE COLUMN 5 BY COLUMN 4 PUT IN COLUMN 11 SUBTRACT COLUMN 15 FROM COLUMN 11 PUT IN COLUMN 11 AVERAGE COLUMN 11 PUT IN COLUMN 11 PRINT 1***5 SPACE 3 NOTE ***************************************************************************

SPACE

NOTE THE FOLLOWING VALUES SHOULD BE EQUAL TO OR NEAR ZERO. SPACE ABRIDGE ROW 1 OF COL 14 AND 11 SPACE NOTE ***************************************************************************

COSINTEGRAL OF COLUMN 1 PUT IN COLUMN 2 HCOS INTEGRAL OF COLUMN 1 PUT IN COLUMN 4 SININTEGRAL OF COLUMN 1 PUT IN COLUMN 3 HSININTEGRAL OF COLUMN 1 PUT IN COLUMN 5 TITLE3 X CI(X) SI(X) CHI(X) TITLE4 SHI(X) PRINT 1***5 SUM COLUMN 4 PUT RESULT IN COL 6 SUM COLUMN 5 PUT RESULT IN COL 7 SUBTRACT COL 6 FROM COL 7 PUT IN COL 6 SUM COLUMN 2 PUT RESULT IN COL 8 SUM COLUMN 3 PUT RESULT IN COL 9 ROUND COL 8 TO 4 SIG. DIGITS PUT IN COL 8 ROUND COL 9 TO 4 SIG. DIGITS PUT IN COL 9

' SPACE 3 NOTE ***************************************************************************

SPACE

NOTE THE FOLLOWING VALUES SHOULD BE EQUAL TO OR NEAR .7344, 7.498 AND .25 SPACE ABRIDGE ROW 1 OF COLS 8, 9 AND 6 SPACE

NOTE ***************************************************************************

191
OMNITAB 80 TEST 44 SPECIAL INTEGRALS. (8.1) PAGE 4

LIST OF DATA, INSTRUCTIONS AND DIAGNOSTICS

NATIONAL BUREAU OF STANDARDS. WASHINGTON, D. C. 20234 OMNITAB 80 VERSION 6.00 MARCH 2, 1981

192
OMNITAB 80 TEST 45 STRUVE FUNCTIONS AND INTEGRAL OF J(0). (8.1) AND (12.10) PAGE 1

COL 1 X COL 2 H ZERO (X) COL 3 H ONE (X) COL 4 INTEGRAL OF J ZERO

0..50 1.0

1.5 2.0

0..30955591

. 56865662

.73672347

.79085885

0..052173744

. 19845734

.41028848

.64676373

0..48968051

.91973041 1.2414495

1.4257703

2.5 3.0

3.5 4.0

4.5

.72995774

.57430615

. 36082077

.13501457 -.058543316

.86315421 1.0201096

1.0915723 1.0697267

.96597435

1.4679809

1.3875673 1.2233057

1.0247342

.84186254

5.0 -.18521682 .80781195 .71531191

***************************************************************************

INTEGRAL OF J ZERO = X *J0+(PI*X/2)*(H0*J1-H1*J0)

WHERE Jl = J ONE(X), HI = H ONE(X), WHERE JO = J ZERO (X), HO = H ZERO (X), AND

Jl = J ONE (X), HI = H ONE (X). HANDBOOK MATHEMATICAL FUNCTIONS AMS 55 PAGE 480. THEREFORE THE FOLLOWING VALUE MUST BE NEAR OR EQUAL TO ZERO.

*- 1.4562498-08

193
OMNITAB 80 TEST 45 STRLTE FUNCTIONS AND INTEGRAL OF J(0). (8.1) AND (12.10) PAGE 2

LIST OF DATA. INSTRUCTIONS AND DIAGNOSTICS

GENERATE FROM 0.0 IN STEPS OF .5 THRU 5.0 AND STORE IN COL 1

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM TO 11.

STRUYE ZERO OF VALUES IN COL 1 AND STORE IN COL 2 STRUYE ONE OF VALUES IN COL 1 AND STORE IN COL 3

I NTJO INTEGRAL OF J ZERO OF COL 1 AND STORE IN COL 4 NEW PAGE NOTE COL 1 COL 2 COL 3 COL 4 NOTE X H ZERO (X) H ONE (X) INTEGRAL OF J ZERO

SPACE NPRINT COL 1 WITH 2. SIGNIFICANT DIGITS AND COLS 2, 3 AND 4 WITH 8.0 SIG DIGITS

BJ ZERO OF COL 1 AND STORE IN COL 5 BJONE OF COL 1 AND STORE IN COL 6 MULTIPLY COL 3 BY COL 5 .MULTIPLY BY -1.0 .ADD TO COL 7 .AND STORE IN COL 7 MULT COL 2 BY COL 6 MULTIPLY BY 1.0 ADD TO COL 7 AND STORE IN COL 7 DIVIDE COL 1 BY 2.0 AND STORE IN COL 8 MULT COL 1 BY COL 5 AND STORE IN COL 9 MULT COL 8 BY *PI* MULTIPLY BY COL 7 .ADD COL 9 .AND STORE IN COL 7 SUBTRACT COL 4 FROM COL 7 AND STORE IN COL 7 AVERAGE COL 7 .AND STORE IN COL 7 SPACE 2 \OTE ***************************************************************************

SPACE NOTE INTEGRAL OF J ZERO = X *JO-(PI*X/2)*(HO*J1-H1*JO)

.

NOTE WHERE Jl = J ONE(X). HI = H ONE(.X), NOTE WHERE JO = J ZERO (X). HO = H ZERO (X), AND

NOTE Jl = J ONE (X), HI = H ONE (X). NOTE HANDBOOK MATHEMATICAL FUNCTIONS .VMS 55 PAGE 480. NOTE THEREFORE THE FOLLOWING VALUE MUST BE NEAR OR EQUAL TO ZERO. SPACE ABRIDGE ROW 1 COL 7 SPACE NOTE ***************************************************************************

NATIONAL BUREAU OF STANDARDS. WASHINGTON. D. C. 20234 OMNITAB 80 VERSION 6.00 MARCH 2, 1981

194
OMNITAB 80 TEST 46 CHEBYSHEV, HERMITE, LAGUERRE AND LEGENDRE POLYS. (8.2) PAGE 1

4TH ORDER T CHEBYSHEV POLYNOMIAL

COL 1 X COL 3 ORDER 1 COL 4 ORDER 2 COL 5 ORDER 3 COL 6 ORDER 4

1

1

25000000

50000000

75000000 0000000

2500000

. 25000000

. 50000000

.75000000

1 . 0000000

1 . 2500000

-.87500000

- . 50000000

. 12500000

1 . 0000000

2.1250000

-.68750000

-1.0000000

-.56250000

1 . 0000000 4.0625000

.53125000

- . 50000000 -.96875000

1.0000000 8.0312500

1

12

5000000

.7500000 .0000000

1 . 5000000

1.7500000

2 . 0000000

3 . 5000000

5.1250000

7 . 0000000

9 . 0000000

16.187500 26.000000

23 . 500000 51.531250

97 . 000000

4TH ORDER U CHEBYSHEV POLYNOMIAL

1

1

COL 1 X .25000000

. 50000000

.75000000

.0000000

.2500000

COL 12 ORDER 1

. 50000000

1.0000000

1 . 5000000 2.0000000

2 . 5000000

COL 13 ORDER 2 -.75000000

0.1.2500000

3 . 0000000

5.2500000

COL 14 ORDER 3 -.87500000

-1.0000000

. 37500000 4.0000000

10.625000

COL 15 ORDER 4 .31250000 -1.0000000

-.68750000

5.0000000 21.312500

1

12

. 5000000

.7500000

.0000000

3 . 0000000

3 . 5000000 4.0000000

8 . 0000000

1 1 . 250000

15.000000

21.000000

35.875000

56.000000

55.000000

114.31250 209.00000

***************************************************************************

LET TN = T (X) OF ORDER N, VN = U (X) ORDER N, AND VN1=U (X) ORDER N-l WHERE T AND U ARE THE T AND U CHEBYSHEV POLYNOMIALS RESPECTIVELY,

THEN TN-VN+X*VN1=0. REFERENCE - HANDBOOK MATHEMATICAL FUNCTIONS AMS 55 PAGE 777. THE FOLLOWING VALUES MUST BE EQUAL TO OR NEAR ZERO.

0. 0. 0. 0. ***************************************************************************

195
OMNI TAB 80 TEST 46 CHEBYSHEV, HERMITE, LAGUERRE AND LEGENDRE POLYS. (8.2) PAGE

3RD ORDER LAGUERRE POLYNOMIAL

COL 1 X COL 2 ORDER 1 COL 3 ORDER 2 COL 4 ORDER 3

. 25000000

. 50000000

.75000000

1 . 0000000

1.2500000

. 75000000

. 50000000

.25000000

0.-.25000000

.53125000

.12500000 -.21875000

- . 50000000 -.71875000

.34114583

.14583333 .47656250

.66666666

.73177083

1 . 5000000

1.7500000

2 . 0000000

-.50000000

-.75000000

-1.0000000

-.87500000

-.96875000

-1.0000000

-.68750000

-.54947916

-.33333333

3RD ORDER NORMALIZED LAGUERRE

COL 1 X

. 25000000

. 50000000

. 75000000

1 . 0000000

1 . 2500000

COL 12 ORDER 1 .75000000

. 50000000

. 25000000

).-.25000000

0.

COL 13 ORDER 2 1.0625000

.25000000 -.43750000

-1.0000000

-1.4375000

COL 14 ORDER 3 2.0468750 -.87500000

-2.8593750

-4.0000000

-4.3906250

1 . 5000000

1.7500000

2 . 0000000

- . 50000000 -.75000000

-1.0000000

-1.7500000

-1.9375000

-2

.

0000000

-4.1250000

-3.2968750

-2.0000000

is************************************************************************

LET Y= X/2 AND LX(N) = L OF ORDER N, THEN LX(3)-8*LY(3)-12*LY(2)-6LY(1)-1.0=0.

,

AND FOR NORMALIZED LAGUERRE LX(3)-8*LY(3)-36*LY(2)-36*LY(l)-6=0.

REFERENCE - HANDBOOK MATHEMATICAL FUNCTIONS AMS 55 PAGE 785. THE FOLLOWING VALUES MUST BE EQUAL OR NEAR TO ZERO.

3.7252903-09 0. ***************************************************************************

196
OMNITAB 80 TEST 46 CHEBYSHEV, HERMITE, LAGUERRE AND LEGENDRE POLYS. (8.2) PAGE

4TH ORDER HERMITE POLYNOMIAL

COL 1 X COL 2 ORDER 1 COL 3 ORDER 2 COL 4 ORDER 3 COL 5 ORDER 4

1

1

.25000000

. 50000000

.75000000

. 0000000

. 2500000

. 50000000

1.0000000

1 . 5000000 2.0000000

2.5000000

-1.7500000

-1.0000000

.25000000 2.0000000 4.2500000

-2.8750000

-5 . 0000000

-5 . 6250000 -4.0000000

. 62500000

9.0625000

1.0000000 -9.9375000

-20.000000

-23.937500

1

12

. 5000000

.7500000

.0000000

3 . 0000000

3 . 5000000 4.0000000

7 . 0000000

10.250000

14.000000

9 . 0000000

21.875000 40.000000

-15.000000

15.062500 76.000000

it*******************************************************************

LET Y=SQRT (2)*X/2, AND HX(N)=H OF ORDER N FOR EITHER X OR Y, THEN HX(4)-.5*HY(4)-2*HY(1)*HY(3)-3*(HY(2))**2=0.0.

REFERENCE - HANDBOOK MATHEMATICAL FUNCTIONS AMS 55 PAGE 785. THE FOLLOWING VALUE MUST BE EQUAL TO OR NEAR ZERO.

* 7.3015690-07 ***************************************************************************

197
OMNI TAB 80 TEST 46 CHEBYSHEY, HERMITE, LAGUERRE AND LEGENDRE POLYS. (8.2) PAGE 4

4TH ORDER LEGENDRE POLYNOMIAL

COL 1 COL 2 COL 3 COL 4

X ORDER 1 ORDER 2 ORDER 3 .25000000 .25000000 -.40625000 -.33593750

.50000000 .50000000 -.12500000 -.43750000

.75000000 .75000000 .34375000 -.070312504

1 . 0000000 1 . 0000000 1 . 0000000 1 . 0000000

1.2500000 1.2500000 1.8437500 3.0078125

1.5000000 1.5000000 2.8750000 6.1874999

1.7500000 1.7500000 4.0937500 10.773437 2.0000000 2.0000000 5.5000000 17.000000

***************************************************************************

3*(P ORDER 3 (X)) - 5*X- (P ORDER 2 (X)) - 2* (P ORDER 1 (X)) = 0.0. REFERENCE - HANDBOOK MATHEMATICAL FUNCTIONS AMS 55 PAGE 334. FOLLOWING VALUE MUST BE EQUAL TO OR NEAR ZERO.

*-l. 9073486-06 ***************************************************************************

198
OMNITAB 80 TEST 46 CHEBYSHEV, HERMITE, LAGUERRE AND LEGENDRE POLYS. (8.2)

LIST OF DATA, INSTRUCTIONS AND DIAGNOSTICS

PAGE 5

COL 1 X COL 3 ORDER 1 COL 4 ORDER 2 COL 5 ORDER 3 COL 6 ORDER 4

4TH ORDER U CHEBYSHEV POLYNOMIAL

COL 12 COL 13 COL 14 COL 15 ORDER 1 ORDER 2 ORDER 3 ORDER 4

GENERATE X FROM .25 IN STEPS OF .25 THRU 2.0 AND STORE IN COL 1

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM TO 8.

TCHEBYSHEV POL OF ORDER 4, X IN 1 PUT IN 2 $ ORDERS 1 THRU 4 STORED IN COLS 2-5 UCHEBYSHEV POL 4TH ORDER, X IN COL 1, START STORING IN COL 12 NEW PAGE

NOTE 4TH ORDER T CHEBYSHEV POLYNOMIAL

SPACE

NOTE

NOTE SPACE NPRINT 1***5 SPACE

NOTE SPACE

NOTE COL 1 NOTE X NPRINT 1 12***15 DEFINE 1.0 IN COL 11 BEGIN

1 MULTIPLY COL 1 BY COL 11 MULT BY -1.0 ADD TO COL 12 STORE IN COL 6

2 SUBTRACT COL 6 FROM COL 2 STORE IN COL 6

3 AVERAGE COL 6 STORE IN COL 6

4 INCREMENT INSTRUCTION 1 BY 1 0.0 11

5 INCREMENT INSTRUCTION 2 BY 1 1 1 6 INCREMENT INSTRUCTION 3 BY 1 1 FINISH PERFORM INSTRUCTIONS 1 THRU 6 4 TIMES

SPACE 2 NOTE ***************************************************************************

SPACE

NOTE LET TN = T (X) OF ORDER N, VN = U (X) ORDER N, AND VN1=U (X) ORDER N-l NOTE WHERE T AND U ARE THE T AND U CHEBYSHEV POLYNOMIALS RESPECTIVELY, NOTE THEN TN-VN+X*VN1=0.

NOTE REFERENCE - HANDBOOK MATHEMATICAL FUNCTIONS AMS 55 PAGE 777. NOTE THE FOLLOWING VALUES MUST BE EQUAL TO OR NEAR ZERO. SPACE ABRIDGE ROW 1 COLS 6, 7, 8 AND 9 SPACE

NOTE ***************************************************************************

LAGUERRE POLYNOMIAL OF 3RD ORDER, X IN COL 1 STORE STARTING IN COL 2 NORMLAGUERRE ORDER 5, X IN COL 1 STORE STARTING IN COL 12 DIVIDE COL 1 BY 2.0 STORE IN COL 6 LAGUERRE OF 3RD ORDER, X IN COL 6 STORE IN COL 7 NORMLAGUERRE OF 3RD ORDER, X IN COL 6 STORE IN COL 17 NEW PAGE

NOTE 3RD ORDER LAGUERRE POLYNOMIAL

SPACE

199
OMNITAB 80 TEST 46 CHEBYSHEV, HERMITE, LAGUERRE AND LEGENDRE POLYS. (8.2)

LIST OF DATA, INSTRUCTIONS AND DIAGNOSTICS

PAGE 6

COL 4 ORDER 3

COL 14 ORDER 3

NOTE COL 1 COL 2 COL 3 NOTE X ORDER 1 ORDER 2 SPACE NPRINT COLS 1***4 SPACE NOTE 3RD ORDER NORMALIZED LAGL'ERRE SPACE NOTE COL 1 COL 12 COL 13 NOTE X ORDER 1 ORDER 2 NPRINT COLS 1, 12.13,14 MULT COL 8 BY 2.0 STORE IN COL 10 SUB COL 7 FROM COL 10 MULTIPLY BY 6.0 ADD 1.0 STORE IN COL 10 MULT COL 9 BY 8.0 STORE IN COL 9 SUB COL 9 FROM COL 4 MULT BY 1.0 ADD COL 10 AND STORE IN COL 10 AVERAGE COL 10 STORE IN COL 10 SUB COL 17 FROM COL 18 MU1T BY 36.0 ADD 6.0 STORE IN COL 11 RAISE 2.0 TO 3.0 MULTIPLY BY COL 19 ADD 0.0 STORE IN COL 20 SUB COL 20 FROM COL 14 MULTIPLY 1.0 .ADD TO COL 11 AND STORE IN COL 11 AVERAGE COL 11 STORE IN COL 11 SPACE 2 NOTE ***************************************************************************

SPACE

NOTE LET Y= X/2 AND LX(N) = L OF ORDER N, NOTE THEN LX(3)-8*LY(3)~12*LY(2)-6LY(1)-1 .0=0.

,

NOTE AND FOR NORMALIZED LAGL'ERRE NOTE LX(3)-8*LY(3)-36*LY(2)-36*LY(l)-6=0.

NOTE REFERENCE - HANDBOOK MATHEMATICAL FUNCTIONS AMS 55 PAGE 785. NOTE THE FOLLOWING VALUES MUST BE EQUAL OR NEAR TO ZERO. SPACE ABRIDGE ROW 1 COLS 10 AND 11 SPACE

NOTE ***************************************************************************

HERMITE POLYNOMIAL OF ORDER 4, X IN COL 1 START STORING IN COL 2 SQRT 2.0 MULTIPLY BY COL 6 ADD 0.0 STORE IN COL 6 HERMITE POLYNOMIAL OF ORDER 4, X IN COL 6 START STORING IN COL 12 NEW PAGE

SPACE NOTE 4TH ORDER HERMITE POLYNOMIAL

SPACE NOTE COL 1 COL 2 COL 3 COL 4 COL 5 NOTE X ORDER 1 ORDER 2 ORDER 3 ORDER 4 SPACE NPRINT COLS 1 *** 5 SQUARE COL 13 MULTIPLY BY -1.5 ADD 0.0 AND STORE IN COL 10 MULT COL 12 BY COL 14 MULTIPLY BY -2.0 ADD TO COL 10 .AND STORE IN COL 10 MULT COL 15 BY -.5 STORE IN COL 12 ADD COL 12 TO COL 5 MULTIPLY BY 1.0 ADD TO COL 10 AND STORE IN COL 10 AVERAGE COL 10 STORE IN COL 10 SPACE 2 NOTE ***************************************************************************

200
OMNITAB 80 TEST 46 CHEBYSHEV, HERMITE, LAGUERRE AND LEGENDRE POLYS. (8.2) PAGE 7

LIST OF DATA, INSTRUCTIONS AND DIAGNOSTICS

SPACE NOTE LET Y=SQRT (2)*X/2, AND HX(N)=H OF ORDER N FOR EITHER X OR Y, NOTE THEN HX(4)-. 5*HY(4)-2*HY(1)*HY(3)-3*(HY(2))**2=0.0.

NOTE REFERENCE - HANDBOOK MATHEMATICAL FUNCTIONS AMS 55 PAGE 785. NOTE THE FOLLOWING VALUE MUST BE EQUAL TO OR NEAR ZERO. SPACE ABRIDGE ROW 1 OF COL 10 SPACE NOTE ***************************************************************************

LEGENDRE POLYNOMIAL OF 3RD ORDER OF X IN COL 1 STORE IN COL 2 NEW PAGE

NOTE 4TH ORDER LEGENDRE POLYNOMIAL

SPACE

NOTE COL 1 COL 2 COL 3 COL 4 NOTE X ORDER 1 ORDER 2 ORDER 3 NPRINT COLS 1 *** 4 SUM COL 2 STORE IN COL 5 SUM COL 4 STORE IN COL 7 MULT COL 3 BY COL 1 STORE IN COL 3 SUM COL 3 STORE IN COL 3 RESET NRMAX TO 1

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM 8 TO 1

MULT COL 5 BY 2.0 STORE IN COL 5 MULT COL 3 BY 5.0 STORE IN COL 3 MULT COL 7 BY 3.0 STORE IN COL 7 SUBTRACT COL 5 FROM COL 3 MULT BY -1.0 ADD COL 7 STORE IN COL 7 SPACE 2 NOTE ***************************************************************************

SPACE NOTE 3*(P ORDER 3 (X)) - 5*X- (P ORDER 2 (X)) + 2* (P ORDER 1 (X)) = 0.0. NOTE REFERENCE - HANDBOOK MATHEMATICAL FUNCTIONS AMS 55 PAGE 334. NOTE FOLLOWING VALUE MUST BE EQUAL TO OR NEAR ZERO. SPACE NPRINT COL 7 SPACE NOTE ***************************************************************************

NATIONAL BUREAU OF STANDARDS. WASHINGTON, D. C. 20234 OMNITAB 80 VERSION 6.00 MARCH 2, 1981

201
OMNI TAB 80 TEST 47 DIFFERENCES AND DIVDIFFERENCES INSTRUCTIONS. (8.3) PAGE 1

COLUMN 2 COLUMN 3 COLUMN 4 COLUMN 5 Y 1ST 2ND 3RD

0. .20134000

.20134000 -.098159997

.10318000 .21156000

.30452000 .11340000

.21658000

.52110000

••it*********************************************************************

THE FOLLOWING VALUES SH0U1D BE EQUAL TO OR NEAR ZERO.

0. 0. 0. it**********************************************************************

202
OMNITAB 80 TEST 47 DIFFERENCES AND DIVDIFFERENCES INSTRUCTIONS. (8.3) PAGE 2

COLUMN 1 COLUMN 2 COLUMN 3 COLUMN 4 COLUMN 5 X Y 1ST 2ND 3RD

0. 0.

1 . 0067000

.20000000 .20134000 .083666841 1.0318000 .17333259 .30000000 .30452000 .17033313 1.0829000

.50000000 .52110000

***************************************************************************

THE FOLLOWING VALUES SHOULD BE EQUAL TO OR NEAR ZERO.

0. 0. 0. ***************************************************************************

203
OMNI TAB 80 TEST 47 DIFFERENCES AND DIV'DIFFERENCES INSTRUCTIONS. (8.3) PAGE 3

LIST OF DATA, INSTRUCTIONS AND DIAGNOSTICS

READ DATA X AND Y INTO COLUMNS 1 AND 2 0.0 0.0

.2 .20134

.3 .30452

.5 .52110

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM TO 4.

DIFFERENCES OF Y IN COLUMN 2 STORE DIFFERENCES IN COLS 3, 4 AND 5 SDIFFERENCES OF Y IN COLUMN 2 STORE DIFFERENCES IN COLS 13, 14 AND 15 MSUBTRACT MATRIX IN R=l, C=3 SIZE 3X3 MINUS MATRIX IN R=l, C=13 PUT IN R=l, C=23 SPACE 3 NOTE ***************************************************************************

SPACE NOTE THE FOLLOWING VALUES SHOULD BE EQUAL TO OR NEAR ZERO. SPACE ABRIDGE ROW 1 COLS 23, 24 AND 25 SPACE

VOTE ***************************************************************************

DI\ DIFFERENCES FOR X IN COL 1 OF Y IN COL 2 STORE DIVDIF IN COLS 3, 4 AND 5 SDIVDIFFERENCES FOR X IN COL 1 OF Y IN COL 2 STORE DIVDIF IN COLS 13, 14 AND 15 MSUBTRACT MATRIX IN R=l. C=3 SIZE 3X3 MINTS MATRIX IN R=l, C=13 PUT IN R=l, C=23

SPACE 3

s 07 f *************»»**********************»****»*»**» »** »»»»»»»**»**»*»*»»**

SPACE NOTE THE FOLLOWING VALUES SHOULD BE EQUAL TO OR NEAR ZERO. SPACE ABRIDGE ROW 1 COLS 23, 24 AND 25 SPACE

\07F ***************************************************************************

NATIONAL BUREAU OF STANDARDS. WASHINGTON, D. C. 20234 OMNITAB 80 VERSION 6.00 MARCH 2, 1981

204
OMNITAB 80 TEST 48 ISOLATE, ISETUP AND ITERATE INSTRUCTIONS. (8.4) PAGE 1 THE FOLLOWING IS AN EXAMPLE OF THE ISOLATE COMMAND. COLUMN 1 WAS DEFINED BY THE GENERATE COMMAND. COLUMNS 2 4 6 8 10 AND 12 WERE DEFINED BY SIN COMMAND. COLUMNS 3 5 7 9 AND 1 1 WERE DEFINED BY THE ISOLATE COMMAND. COLUMN 1 COLUMN 2 COLUMN 3 COLUMN 4 COLUMN 5 COLUMN 6 COLUMN 7 COLUMN

1.0000000 2.0000000

3.0000000 4.0000000

5 . 0000000

.84147099

.90929743

.14112001 -.75680249

-.95892427

3.0000000

3 . 2500000

3 . 5000000 3.7500000 4.0000000

.14112001 -.10819513

-.35078323

-.57156132 -.75680249

3.3

3.3

3

0000000

0625000

1250000

1875000 2500000

.14112001 .079010217

.016591892 -.045891223

-.10819513

3.3

3.3

3.

1250000

1406250

1562500

1718750

1875000

.016591892 .00096765344 -.014656822

-.030277718

-.045891223

6.0000000

7.0000000

8.0000000 9.0000000

10.000000

-.27941550

.65698660

.98935825 .41211849 -.54402111

6.0000000

6.2500000 6.5000000

6.7500000

7 . 0000000

-.27941550

-.033179217

.21511999

.45004407 .65698660

66

6

6,

6.

2500000

3125000 3750000 4375000

5000000

-.033179217

.029310494

.091685749

.15370297 .21511999

6.6.

6.

6.

6.

2500000

2656250

2812500

2968750

3125000

-.033179217

-.017559405 -.0019353060

.013689265 .029310494

9 . 0000000

9.2500000

9.5000000

9.7500000

10.000000

.41211849

.17388949 -.075151120

-.31951919

-.54402111

9

9

99

9

2500000

3125000

3750000 4375000

5000000

.17388949

.11204221 .049757406 -.012721696 -.075151120

9.

9,

9.9

9

3750000

3906250 4062500

4218750

4375000

. 049757406

.034146321

.018526901 .0029029567 -.012721696

COLUMN 9 3.1406250

3.1445313

3.1484375

3.1523438 3.1562500

COLUMN 10 .00096765344 -.0029385922 -.0068447929

-.010750889

-.014656822

COLUMN 11 3.1406250 * 3.1416016 * 3.1425781 * 3.1435547

3.1445313

COLUMN 12 9.6765344-04

-8.9089102-06

-9.8547126-04 -.0019620327

-.0029385922

6.2812500

6.2851563

6.2890625 6.2929688 6.2968750

-.0019353060

.0019709416

.0058771590

.0097832867 .013689265

6.2812500

6.2822266 * 6.2832031 * 6.2841797 * 6.2851563

-.0019353060

-9.5874453-04

1.7817820-05 9.9438016-04

.0019709416

9.4218750

9.4257813

9.4296875

9.4335938 9.4375000

.0029029567 -.0010032891 -.0049095195 -.0088156750

-.012721696

9.4218750

9.4228516

9.4238281 * 9.4248047 * 9.4257813

.0029029567

.0019263971 9.4983562-04

-2.6726731-05 -.0010032891

205
OMNITAB 80 TEST 48 ISOLATE, ISETUP AND ITERATE INSTRUCTIONS. (8.4) PAGE 2 THE FOLLOWING IS AN EXAMPLE OF THE ISOLATE COMMAND. COLUMN 1 WAS DEFINED BY THE GENERATE COMMAND. COLUMNS 2 4 6 8 10 AND 12 WERE DEFINED BY SIN COMMAND. COLUMNS 3 5 7 9 AND 11 WERE DEFINED BY THE ISOLATE COMMAND. COLUMN 45

3.1411133 6.2827148 9.4243164 ***************************************************************************

THE FOLLOWING VALUE MUST BE EQUAL TO OR NEAR ZERO.

* 2.3841858-07 ft*************************************************************************

206
OMNITAB 80 TEST 48 ISOLATE, ISETUP AND ITERATE INSTRUCTIONS. (8.4) PAGE

THE FOLLOWING IS AN EXAMPLE OF THE ISETUP AND ITERATE COMMANDS.

. 30000000

. 32500000

. 35000000

. 37500000

.40000000

Y=SIN(X)

0..099833416

.19866933

.29552021 .38941834

BRACKETING X'S

. 35000000

.55000000

BRACKETING Y'S

. 34246927

. 52203400

DESIRED Y

. 30000000

. 50000000

. 50000000

. 52500000

. 55000000

.57500000

. 59999999

.47942554

. 56464247

THE FOLLOWING ARE THE RESULTS OF THE ITERATE COMMAND.

. 30000000

. 30625000

.31250000

.31874999

. 32500000

.29552021 .31930878

.34289781 .36627252 .38941834

.31250000

.51250000

.30741449 .49031927

.30000000

. 50000000

. 50000000

. 50624999

.51249999

.51874998

. 52500000

.47942554

.50121301 .52268723 .54383479

. 56464247

THE FOLLOWING ARE THE RESULTS OF THE ITERATE COMMAND.

. 30000000

.30156250

.30312500

. 30468750

. 30625000

.29552021 .30148525

.30743851 .31337976

.31930878

.30312500

.52187499

.29850273

.49850398

. 30000000

. 50000000

.51874998 .52031248

.52187498

.52343748 .52500000

.47942554

.48490103 .49035757

.49579496

.50121301

THE FOLLOWING ARE THE RESULTS OF THE ITERATE COMMAND.

. 30468750

.30507812 .30546874

.30585936

. 30625000

.29552021 .29701256

.29850418

.29999508

.30148525

. 30546875

.52421874

.30074016

.50053665

. 30000000

. 50000000

. 52343748

.52382810

.52421873

. 52460936

. 52500000

.49579496

.49715129

.49850641

.49986031

.50121301

THE FOLLOWING ARE THE RESULTS OF THE ITERATE COMMAND.

.30468750

.30478515

.30488281

. 30498046

.30507812

. 29999508

. 30036769

. 30074025

.30111277

.30148525

.30488281 .52363279.30018138

. 50002944

.30000000

. 50000000

.52343748

,52353513 .52363279

. 52373044

.52382810

.49986031 .50019859 .50053680

. 50087494

.50121301

207
THE FOLLOWING ARE THE RESULTS OF THE ITERATE COMMAND.

.30468750

.30471191 .30473632

.30476073 .30478515

.29999508

.30008823 .30018139 .30027454

.30036769

,30473632

.52358396 .30004166.49998717

. 30000000

. 50000000

.52353513 .52355954

.52358395 .52360836

,52363279

.49986031 .49994488

. 50002945

.50011402

.50019859 ***************************************************************************

THE FOLLOWING VALUES MUST BE EQUAL TO OR NEAR ZERO.

0. * 7.4505806-09 ***************************************************************************

208
OMNITAB 80 TEST 48 ISOLATE, ISETUP AND ITERATE INSTRUCTIONS. (8.4) PAGE 4

LIST OF DATA, INSTRUCTIONS AND DIAGNOSTICS

GENERATE TRIAL VALUES OF X FROM 1 IN STEPS OF 1 THRU 10 IN COL 1

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM TO 10.

1/ SIN OF X IN COLUMN 1 PUT Y=SIN(X) IN COLUMN 2 2/ ISOLATE X IN COLUMN 1 FOR Y IN COLUMN 2 EQUAL TO 0.0 STORE IN COLS 3 AND 45 3/ INCREMENT INSTRUCTION 1 BY 2 AND 2 4/ INCREMENT INSTRUCTION 2 BY 2, 2, 0.0, 2 AND REPEAT INSTRUCTIONS 1 THROUGH 4, 6 TIMES

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM 10 TO 15. IN INSTRUCTION AT STATEMENT NUMBER 2.0 CYCLE NO. 1 OF 6 OF EXTERNAL PERFORM STATEMENT.

TITLE1 THE FOLLOWING IS AN EXAMPLE OF THE ISOLATE COMMAND. COLUMN

TITLE21 WAS DEFINED BY THE GENERATE COMMAND. TITLE3 COLUMNS 2 4 6 8 10 AND 12 WERE DEFINED BY SIN COMMAND. COLU TITLE4MNS 3 5 7 9 AND 1 1 WERE DEFINED BY THE ISOLATE COMMAND. PRINT COLUMNS 1 *** 8 SPACE 2 NOTE COLUMN 9 COLUMN 10 COLUMN 11 COLUMN 12 NPRINT COLUMNS 9 *** 12 RESET NRMAX TO 3

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM 15 TO 3.

PRINT COLUMN 45 SUM COLUMN 45 AND STORE IN COLUMN 46 SUBTRACT THE VALUE 18.8481445 FROM COLUMN 46 AND STORE IN COLUMN 46 AVERAGE COLUMN 46 AND STORE IN COLUMN 46 SPACE

NOTE ***************************************************************************

SPACE NOTE THE FOLLOWING VALUE MUST BE EQUAL TO OR NEAR ZERO. SPACE ABRIDGE ROW 1 OF COLUMN 46

SPACE

NOTE ***************************************************************************

ERASE

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM 3 TO 0.

GENERATE DESIRED Y EQUAL THRU .3 IN STEPS OF .2 THRU .5 IN COLUMN 14

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM TO 2.

209
OMNITAB 80 TEST 48 ISOLATE, I SETUP AND ITERATE INSTRUCTIONS. (8.4) PAGE 5

LIST OF DATA, INSTRUCTIONS AND DIAGNOSTICS

GENERATE TRIAL VALUES OF X EQUAL TO IN STEPS OF .1 THRU .6 IN COLUMN 1

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM 2 TO 7.

N0TE1 THE FOLLOWING ARE THE RESULTS OF THE ITERATE COMMAND.

1/ SIN X IN COLUMN 1 PUT Y=SIN(X) IN COLUMN 12 2/ ITERATE X IN COLUMN 1 Y IN COLUMN 12 DESIRED V IN COLUMN 14 STORE IN COL 1 2.2/ SPACE

2.5/ PRINT NOTE 2.6/ SPACE

3/ NPRINT COLUMNS I, 12. 2, 3 AND 4 SIN X IN COLUMN 1 PUT Y=SIN(X) IN COLUMN 12

I SETUP X IN COL 1, Y=SIN(X) IN COL 12, DESIRED Y IN COL 14 STORE IN COL 1

» INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM 7 TO 10.

TITLE1 TITLE2

TITLE3 TITLE4

NEW PAGE

NOTE THE FOLLOWING IS AN EXAMPLE OF THE I SETUP AND ITERATE COMMANDS. SPACE NOTE X Y=SIN(X) BRACKETING X'S BRACKETING Y'S DESIRED Y NPRINT COLUMNS 1 12 2 3 AND 4 REPEAT INSTRUCTIONS 1 THROUGH 3, 5 TIMES

SUM COLUMN 2 STORE IN COLUMN 45 SUM COLUMN 3 STORE IN COLUMN 46 SUBTRACT THE VALUE .82832028 FROM COL 45 AND STORE IN COL 45 SUBTRACT THE VALUE .80002882 FROM COL 46 AND STORE IN COLUMN 46 SPACE NOTE ***************************************************************************

SPACE NOTE THE FOLLOWING VALUES MUST BE EQUAL TO OR NEAR ZERO. SPACE ABRIDGE ROW 1 OF COLUMNS 45 AND 46 SPACE NOTE ***************************************************************************

NATIONAL BUREAU OF STANDARDS. WASHINGTON, D. C. 20234 OMNITAB 80 VERSION 6.00 MARCH 2, 1981

210
OMNITAB 80 TEST 49 INTERPOLATE INSTRUCTION. (8.5) PAGE 1

COL 1 X-TABLE

COL 2 Y-TABLE SIN COL 3 X TO BE INTR COL 4 EXACT VALUE COL 5 ORDER 2 COL 7 ORDER 4 COL 9 ORDER 6 COL 10 ORDER 9

15000000 30000000 45000000

59999999

0..14943813

.29552021 .43496553

. 56464247

-.15000000

-.049999999

.050000001 .15000000

. 25000000

-.14943813

-.049979168

.049979170

.14943813

. 24740396

-.14943813 -.049812709

.049812711 .14943813 .24682618

-.14951348

-.049991465

.049983094

.14943813 .24740160

-.14943469

-.049978781

.049979080

.14943814

. 24740398

-.14943302 -.049978746

.049979079

.14943814

. 24740398

1

1

1

74999999

89999999 0500000

2000000

3500000

.68163875 .78332690

.86742322

.93203908 .97572336

. 35000000

. 45000000

.55000000

. 65000000

. 75000000

.34289781 .43496553

.52268723 .60518640

.68163876

.34200198

.43496553 .52141682

.60364123

.68163875

.34289405 .43496554

.52268198 .60517994

.68163875

.34289779 .43496554

.52268719

.60518637

.68163873

.34289780

.43496555 .52268723

.60518643

.68163871

1

11

12

5000000

. 6500000

. 8000000

. 9500000

. 1000000

. 99749499

.99686503 .97384764

.92895972

.86320937

.85000000

. 95000000

1.0500000

1.1500000

1 . 2500000

.75128040

.81341550

.86742322 .91276394

.94898462

.74943086

.81135900

.86742322 .91050046

. 94660050

.75127275 .81340697

. 86742322

.91275454

. 94897468

.75128039

.81341553 .86742322

.91276389

.94898456

.75128043 .81341560

.86742322

.91276393

.94898461

2

2

. 2500000

. 4000000

.77807321 .675463201 . 3500000

1 . 4500000

1 . 5500000

1 . 6500000

1.7500000

.97572336

.99271299 .99978376

.99686503

.98398595

.97572336

.99023777 .99728500

.99686503 .98152010

.97572336

.99270269

.99977335

.99686503 .98397566

.97572336

.99271293 .99978370

. 99686503

.98398588

.97572336

.99271301 .99978375

.99686503 .98398590

1 . 8500000

1 . 9500000

2 . 0500000

2.1500000

2.2500000

.96127521 .92895972

.88736238 .83689879

.77807320

.95888500

.92895972 .88512616

.83483064

.77807320

.96126527

.92895972

.88735305

.83689018

.77807318

.96127529

2.3500000

2.4500000

2.5500000

2 . 6500000

.71147336

.63776471 .55768373 .47203056

.70966653 .64125986

.57285319

. 50444652

***************************************************************************************************

THE FOLLOWING VALUES INDICATE NUMBER OF SIGNIFICANT DIGITS FOR EACH ORDER OF INTERPOLATION. THE NUMBERS SHOULD BE EQUAL TO OR NEAR 4.2, 4.9, 5.7, 6.5, 7.1 AND 7.2.

4.2 4.9 5.7 6.5 7.1 7.2 ***************************************************************************************************

21
OMNITAB 80 TEST 49 INTERPOLATE INSTRUCTION. (8.5)

LIST OF DATA, INSTRUCTIONS AND DIAGNOSTICS

PAGE 2

GENERATE NOS. FROM 0. IN STEPS OF .15 THRU 2.4 STORE IN COL 1

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM TO 17.

SIN OF COL 1 STORE IN COL 2 GENERATE NOS. FROM -.15 IN STEPS OF .1 THRU 2.65 STORE IN COL 3

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM 17 TO 29.

SIN OF COL 3 STORE IN COL 4 BEGIN INSTRUCTIONS TO BE REPEATED

1 INTERPOLATE TABLE IN COLS 1, 2 LEN 17 FOR 29 VAL OF X IN 3 ORDER 2 PUT IN 5 2 INCREMENT ABOVE COMMAND 1 WITH -2 1 1 FINISH REPEAT INSTRUCTIONS REPEAT INSTRUCTIONS 1 THRU 2, 5 TIMES +++++++EXTRAPOLATION DONE FOR MORE THAN ONE DELTA INTERPOLATE TABLE IN COLS 1 2 LEN OF 17 FOR 20 VAL OF X IN 3 ORDER 9 PUT IN 10 HEAD C0L1/ X-TABLE

HEAD C0L2/ Y-TABLE SIN HEAD C0L3/X TO BE INTR HEAD C0L4/ EXACT VALUE

HEAD C0L5/ ORDER 2 HEAD C0L7/

HEAD C0L9/

HEAD COL 10/ TITLE3 TITLE4

PRINT COLUMNS 1, 1/ RESET NRMAX TO 29

1 . 5/ INCREMENT INSTRUCTION 1 BY -2

2/ ACCURACY OF DIGITS IN COL 5 VS COL 4 AND STORE IN COL 11 2.5/ AVERAGE COL 11 STORE IN COL 11 3/ INCREMENT INSTRUCTION 2 BY 1 , AND 1 4/ INCREMENT INSTRUCTION 2.5 BY 1 AND 1 REPEAT INSTRUCTIONS 1 THRU 4, 6 TIMES

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM 29 TO 27. IN INSTRUCTION AT STATEMENT NUMBER 1.0 CYCLE NO. 2 OF 6 OF EXTERNAL PERFORM STATEMENT.

ORDER 4 ORDER 6 ORDER 9 COL 1 COL 2 COL 3 COL 4 COL 5 COL 7 COL 9 COL 10

IS 1, 2, 3, 4, 5, 7, 9 AND 10

INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM 27 TO 25. IN INSTRUCTION AT STATEMENT NUMBER 1.0 CYCLE NO. 3 OF 6 OF EXTERNAL PERFORM STATEMENT.

INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION

NRMAX HAS BEEN RESET FROM 25 TO 23.

212
OMNITAB 80 TEST 49 INTERPOLATE INSTRUCTION. (8.5) PAGE 3

LIST OF DATA, INSTRUCTIONS AND DIAGNOSTICS

IN INSTRUCTION AT STATEMENT NUMBER 1.0 CYCLE NO. 4 OF 6 OF EXTERNAL PERFORM STATEMENT.

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM 23 TO 21. IN INSTRUCTION AT STATEMENT NUMBER 1.0 CYCLE NO. 5 OF 6 OF EXTERNAL PERFORM STATEMENT.

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM 21 TO 19. IN INSTRUCTION AT STATEMENT NUMBER 1.0 CYCLE NO. 6 OF 6 OF EXTERNAL PERFORM STATEMENT.

SPACE 2 NOTE \* ***********************************************************

N0TE2 ***************************************

PRINT NOTE

SPACE N0TE1THE FOLLOWING VALUES INDICATE NUMBER OF SIGNIFICANT DIGITS F N0TE20R EACH ORDER OF INTERPOLATION. PRINT NOTE

NOTE THE NUMBERS SHOULD BE EQUAL TO OR NEAR 4.2, 4.9, 5.7, 6.5, 7.1 AND 7.2. SPACE ABRIDGE ROW 1 COLS 11 *** 16 WITH 2.0 SIG. DIGITS

SPACE NOTE ]************************************************************

N0TE2 ***************************************

PRINT NOTE

NATIONAL BUREAU OF STANDARDS. WASHINGTON, D. C. 20234 OMNITAB 80 VERSION 6.00 MARCH 2, 1981

213
OMNITAB 80 TEST 50 GAUSS QUADRATURE INSTRUCTION. (8.6) PAGE 1

COL 3 POINTS N COL 1 X COL 2 WEIGHTS

1. 2.

3.

4.

.069431844

.33000948 .66999052 .93056816

.17392742

.32607258

.32607258 .17392742

COL 6 POINTS N COL 4

X COL 5 WEIGHTS

1.2.

3.4.

5.

.034715922 .16500474

.33499526

.46528408 .53471592

.086963711 .16303629 .16303629

.086963711 .086963711

6.

7.

8.

.66500474

.83499526

.96528408

.16303629

.16303629

.086963711

***************************************************************************

THE FOLLOWING VALUE MUST BE EQUAL TO OR NEAR ZERO.

* 7.4505806-09 ***************************************************************************

214
OMNITAB 80 TEST 50 GAUSS QUADRATURE INSTRUCTION. (8.6) PAGE 2

LIST OF DATA, INSTRUCTIONS AND DIAGNOSTICS

GAUSS QUADRATURE 4 PTS. A= 0.0 AND B=1.0 STORE X IN COL 1 WTS. IN COL 2

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM TO 4.

GENERATE FROM 1 STEPS OF 1 THRU 4 IN COL 3 NEW PAGE

NOTE COL 3 COL 1 COL 2 NOTE POINTS N X WEIGHTS

SPACE NPRINT COLS 3 WITH 1. SIGNIFICANT DIG., 1 AND 2 WITH 8. SIG DIGITS

GAUSS QUADRATURE 8 PTS. A=0.0 AND B=1.0 STORE X IN COL 4 WTS. IN COL 5

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM 4 TO 8.

GENERATE FROM 1 IN STEPS OF 1 THRU 8 IN COL 6 SPACE 2 NOTE COL 6 COL 4 COL 5 NOTE POINTS N X WEIGHTS

SPACE NPRINT COL 6 WITH 1.0 SIG DIG., COLS 4 AND 5 WITH 8. SIG DIG. MULTIPLY COL 1 BY COL 2 STORE IN COL 7 MULTIPLY COL 4 BY COL 5 STORE IN COL 8 SUM COL 7 STORE IN COL 7 SUM COL 8 STORE IN COL 8 SUBTRACT COL 8 FROM COL 7 STORE IN COL 9 SPACE 2 NOTE ***************************************************************************

SPACE

NOTE THE FOLLOWING VALUE MUST BE EQUAL TO OR NEAR ZERO. SPACE ABRIDGE ROW 1 COL 9 SPACE

NOTE ***************************************************************************

NATIONAL BUREAU OF STANDARDS. WASHINGTON, D. C. 20234 OMNITAB 80 VERSION 6.00 MARCH 2, 1981

215
OMNI TAB 80 TEST 51 ARRAY AND MATRIX INSTRUCTIONS. (10.) AND (11.) PAGE

PROPERTIES OF THE 4X4 MATRIX ( MATRIXA ) STARTING AT (2,1)

ROW - FOR PROPERTIES STORED IN COLUMN 30

GENERAL

1 TRACE ( 4 VALUES USED)

2 TRACE NUMBER TWO

4 . 0000000

6 . 0000000

3 MAXIMUM NUMBER

4 MINIMUM NUMBER

5 MAXIMUM NUMBER IN ABSOLUTE VALUE

6 MINTMUM NUMBER IN ABSOLUTE VALUE

7 MINIMUM NON-ZERO ABSOLUTE VALUE

1.0000000

0.

1 . 0000000

0.

1 . 0000000

8 NUMBER OF POSITIVE NUMBERS

9 NUMBER OF ZERO NUMBERS

10 NUMBER OF NEGATIVE NUMBERS

4

12

11 SUM OF TERMS

12 AVERAGE

13 SUM OF SQUARES

14 SUM OF SQUARES ABOUT MEAN

15 WITHIN ROWS SUM OF SQUARES

16 WITHIN COLS SUM OF SQUARES

17 SUM OF ABSOLUTE VALUES

18 AVERAGE OF ABSOLLTE VALUES

4.0000000

.25000000 4.0000000

3 . 0000000

3 . 0000000

3 . 0000000

4 . 0000000

.25000000

SPECIFIC

19 20

2122

23

DETERMINANT

RANK NORMS

SQUARE ROOT OF SUM OF B(I,J)'

N*MAXIMUM(B(I.J))

MAXIMUM VALUE OF ROW SUM

1 . 0000000

4

0.0.

0.

24

2526

2728

29

NORMALITY

SYMMETRY

SKEW SYMMETRY

DIAGONAL ITY ORTHOGONALITY' A'

A'A

IDIAGONAL MATRIX

30 TRIANGULAR

31 STOCHASTIC (ROW AND/OR COL SD1S=1)

YES*(1)

YES*(1)

N0*(0)

YES*(1)

YES*(1)

YES*(1)

UPPER AND LOWER** (3) TWO-WAY*** (3)

IF .ANSWER IS NO: (R,C)= 0. IF ANSWER IS YES: (R,C)= 1. (R,C)= 2, IF TOLERANCE IS MET.IF EXACT OR

TRIANGULAR

** (R.C)=0. IF ANSWER IS NO. (R.C)=1,

(R.C)=2. IF LOWER P.ART=0. (R.C)=3,

IF UPPER PART OF MATRIX=0.

IF ALL OFF DIAGONAL TERMS=0.

STOCHASTIC

*** (R.C)=0. IF MATRIX IS NOT STOCHASTIC. (R.C)=1. IF EACH ROW SUM=1.

(R,C)=2, IF EACH COL SUM=1. (R,C)=3. IF EACH ROW AND COL SUM=1.

216
OMNITAB 80 TEST 51 ARRAY AND MATRIX INSTRUCTIONS. (10.) AND (11.) PAGE

PROPERTIES OF THE 4X4 ARRAY ( ARRAYC ) STARTING AT (2,11)

ROW - FOR PROPERTIES STORED IN COLUMN 32

GENERAL

1 TRACE ( 4 VALUES USED)

2 TRACE NUMBER TWO

3 MAXIMUM NUMBER

4 MINUMUM NUMBER

5 MAXIMUM NUMBER IN ABSOLUTE VALUE

6 MINUMUM NUMBER IN ABSOLUTE VALUE

7 MINIMUM NON-ZERO ABSOLUTE VALUE

8 NUMBER OF POSITIVE NUMBERS

9 NUMBER OF ZERO NUMBERS

10 NUMBER OF NEGATIVE NUMBERS

11 SUM OF TERMS

12 AVERAGE

13 SUM OF SQUARES

14 SUM OF SQUARES ABOUT MEAN

15 WITHIN ROWS SUM OF SQUARES

16 WITHIN COLS SUM OF SQUARES

17 SUM OF ABSOLUTE VALUES

18 AVERAGE OF ABSOLUTE VALUES

4.0000000

6.0000000

1.0000000

0.

1 . 0000000

0.

1 . 0000000

4

12

4.0000000

.25000000 4.0000000

3.0000000

3 . 0000000

3.0000000 4.0000000

.25000000 ***************************************************************************

THE ABOVE IS AN EXAMPLE OF THE AUTOMATIC PRINTOUT FROM APROPERTIES. it************************************************************************

217
OMNITAB 80 TEST 51 ARRAY AND MATRIX INSTRUCTIONS. (10.) AND (11.) PAGE 3 MATRIX A ft AS DEFINED BY THE M IDENTITY' COMMAND, COL 5 BY THE MVECD I AGONAL COMMAND AND COL 6 BY THE MVECMAT COMMAND.

MATRIX A COLUMN 5 COLUMN 6

0.

1 . 0000000

0.

0.

1 . 0000000

0.

0.

0.

1 . 0000000

0.0.

0.

0.

1 . 0000000

0.

1 . 0000000

1 . 0000000

1 . 0000000

1 . 0000000

1 . 0000000

0.

0.

0.0.

1 . 0000000

0.0.

0.

0.

1 . 0000000

0.

0.0.

0.

1 . 0000000

***************************************************************************

THE FOLLOWING VALUE MUST BE EQUAL TO OR NEAR ZERO.

0. ***************************************************************************

218
OMNITAB 80 TEST 51 ARRAY AND MATRIX INSTRUCTIONS. (10.) AND (11.) THE FOLLOWING IS AN EXAMPLE OF MTRANSPOSE, MMULT AND ME I GEN. MATRIX A WAS DEFINED BY THE READ COMMAND. MATRIX B IS THE TRANSPOSE OF MATRIX A. MATRIX A MATRIX B=A'

PAGE

4 . 0000000

-2.0000000

-6.0000000 4.0000000

4.0000000

-6.0000000

-2 . 0000000 4.0000000

-2 . 0000000 4.0000000

4.0000000

-6.0000000

-6.0000000 4.0000000

4.0000000

-2 . 0000000

4.0000000

4.0000000

-2 . 0000000

-6.0000000

-2.0000000

-6.0000000 4.0000000

4.0000000

-6.0000000

-2 . 0000000 4.0000000 4.0000000

4.0000000

4.0000000

-6.0000000

-2.0000000

MATRIX C EQUALS MATRIX A TIMES MATRIX B.

72.000000

56.000000 -64.000000

-64.000000

56.000000 72.000000 -64.000000

-64.000000

-64.000000

-64.000000

72 . 000000

56.000000

-64.000000

-64.000000 56.000000

72 . 000000

THE FOLLOWING RESULTS ARE FROM THE ME I GEN COMMAND.

E-VALUES VECTOR 1 VECTOR 2 VECTOR 3

*- 1.1802143-07

15.999998 16.000000

* 2.5599998+02

.50000000 *-2. 34031 18-08 .49999999 *-l . 5923433-08

.49999995 -.70710680

.50000003 .70710674

.70710678 -.70710678 4.4801595-09

0.

VECTOR 4

. 50000000

. 50000000 -.49999998

-.50000001

***************************************************************************

THE FOLLOWING VALUE MUST BE EQUAL TO OR NEAR ZERO.

*-4. 7683716-06 ***************************************************************************

THE COMMANDS MERASE, MZERO AND AZERO HAVE BEEN EXECUTED. THE FOLLOWING VALUES MUST BE EQUAL TO OR NEAR ZERO.

0. 0. ***************************************************************************

219
OMNITAB 80 TEST 51 ARRAY AND MATRIX INSTRUCTIONS. (10.) AND (11.) PAGE 5

LIST OF DATA, INSTRUCTIONS AND DIAGNOSTICS

ALABEL ARRAYC, 2, 11, 4X4

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - (ARRAYC) IS IN ROW (2) COL (11) SIZE (4X4)

MLABEL MATRIXA, 2, 1, 4X4

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - (MATRIXA) IS IN ROW (2) COL (1) SIZE (4X4)

MIDENTITY MATRIX A BEGIN IN ROW 2 OF COLUMN 1 SIZE 4X4 MPROPERTIES OF MATRIXA STORE PROPERTIES IN COL 30 SMPROPERTIES OF MATRIXA STORE PROPERTIES IN COL 31 RESET NRMAX EQUAL TO 4

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM TO 4.

SUBTRACT COLUMN 30 FROM COLUMN 31 STORE IN COL 31 AVERAGE COLUMN 31 STORE IN COLUMN 31 MVECDIAGONAL MATRIX A IN ROW 2 OF COLUMN 1 SIZE 4X4 INTO ROW 2 OF COLUMN 5 MVECMAT VECTORIZE MATRIX A IN ROW 2 OF COL 1 SIZE 4X4 INTO COLUMN 6 ROW BY ROW MMATVEC MAKE COL 6 INTO MATRIX B ROW BY ROW AND PUT IN ROW 2 OF COL 7 SIZE 4X4

MDI AGONAL SET THE DIAGONAL OF MATRIX C IN ROW 2 OF COL 11 SIZE 4X4 EQUAL TO 1.0 APROPERTIES OF ARRAYC STORE PROPERTIES IN COL 32 SPACE

\OTE ***************************************************************************

SPACE NOTE THE ABOVE IS AN EXAMPLE OF THE AUTOMATIC PRINTOUT FROM APROPERTIES. SPACE NOTE ***************************************************************************

MVECDIAG MAKE MATRIX C IN R=2, C= 1 1 SIZE 4X4 INTO A VECTOR AND PUT IN R=2, C=15 MVECMAT VECTORIZE ROW BY ROW MATRIX IN ROW 2 OF COL 15 SIZE 4X4, INTO COL 16 MMATVEC MAKE COL 16 INTO MATRIX D ROW BY ROW, PUT IN ROW 2 OF COL 17, SIZE 4X4 ASUBTRACT MATRIX B R=2, C=7 SIZE 4X4, FROM D R=2, C=17 SIZE=4X4 PUT IN R=l, C=33

ROW SUM COLS 33***36 STORE IN COLUMN 37 AVERAGE COLUMN 37 AND STORE IN COLUMN 37 TITLE1 MATRIX A WAS DEFINED BY THE MIDENTITY' COMMAND, COL 5 BY THE TITLE2 MVECDIAGONAL COMMAND AND COL 6 BY THE MVECMAT COMMAND. RESET NRMAX TO 16

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM 4 TO 16.

HEAD COL 1/ MATRIX A HEAD COL 2/ HEAD COL 3/ HEAD COL 4/

220
OMNITAB 80 TEST 51 ARRAY AND MATRIX INSTRUCTIONS. (10.) AND (11.) PAGE 6

LIST OF DATA, INSTRUCTIONS AND DIAGNOSTICS

PRINT COLUMNS 1***6 SPACE 2 NOTE ***************************************************************************

SPACE

NOTE THE FOLLOWING VALUE MUST BE EQUAL TO OR NEAR ZERO. SPACE

ABRIDGE ROW 1 OF COLUMN 37 SPACE NOTE ***************************************************************************

READ THE FOLLOWING DATA INTO COLUMNS 12, 13, 14 AND 15 4 4-2-6

-2-6 4 4 -6-2 4 4

4 4-6 -2

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM 16 TO 4.

ATRANSPOSE MATRIX B IN ROW 1 OF COL 12 SIZE 4X4, PUT IN MATRIX C ROW 1 OF COL 16 MMULT MATRIX C IN R=l C=16 SIZE 4X4 BY MATRIX B R=l C=12 SIZE 4X4 STORE R=9 C=12

MEIGEN MATRIX IN R=9, C=12 SIZE 4X4 PUT EIGENVAL IN COL 20 EIGENVEC IN R=l, C=21 TITLE1 THE FOLLOWING IS AN EXAMPLE OF MTRANSPOSE, MMULT AND MEIGEN

TITLE2. TITLE3 MATRIX A WAS DEFINED BY THE READ COMMAND. MATRIX B IS THE T TITLE4RANSP0SE OF MATRIX A. HEAD COL 12/ MATRIX A

HEAD COL 13/ HEAD COL 14/ HEAD COL 15/ HEAD COL 16/ MATRIX B=A' HEAD COL 17/ HEAD COL 18/ HEAD COL 19/ RESET NRMAX TO 4 PRINT COLUMNS 12***19 SPACE 2 NOTE MATRIX C EQUALS MATRIX A TIMES MATRIX B. SPACE APRINT MATRIX C BEGINNING ROW 9 OF COL 12 SIZE 4X4 SPACE 2 NOTE THE FOLLOWING RESULTS ARE FROM THE MEIGEN COMMAND. SPACE

NOTE E-VALUES VECTOR 1 VECTOR 2 VECTOR 3 VECTOR 4 SPACE NPRINT COLUMNS 20***24

ROWSUM COLUMNS 20***24 STORE IN COLUMN 25 AVERAGE COLUMN 25 AND STORE IN COLUMN 25 SUBTRACT THE VALUE 72.5 FROM COLUMN 25 STORE IN COLUMN 25 SPACE 2 NOTE ***************************************************************************

221
OMNITAB 80 TEST 51 ARRAY AND MATRIX INSTRUCTIONS. (10.) AND (11.) PAGE 7

LIST OF DATA, INSTRUCTIONS AND DIAGNOSTICS

SPACE

NOTE THE FOLLOWING VALUE MUST BE EQUAL TO OR NEAR ZERO. SPACE ABRIDGE ROW 1 OF COLUMN 25 SPACE NOTE ***************************************************************************

MERASE MATRIX BEGINNING IN ROW 1 OF COLUMN 20 SIZE 4X2 MZERO MATRIX BEGINNING IN ROW 1 OF COLUMN 22 SIZE 4X2 AZERO MATRIX BEGINNING IN ROW 1 OF COLUMN 24 SIZE 4X2 ROWSUM COLUMNS 20***24 STORE IN COLUMN 26 AVERAGE COLUMN 26 AND STORE IN COLUMN 26 SPACE NOTE THE COMMANDS MERASE, MZERO AND AZERO HAVE BEEN EXECUTED. NOTE THE FOLLOWING VALUES MUST BE EQUAL TO OR NEAR ZERO. SPACE ABRIDGE ROW 1 OF COLUMNS 25 AND 26 SPACE

NOTE ***************************************************************************

NATIONAL BUREAU OF STANDARDS. WASHINGTON, D. C. 20234 OMNITAB 80 VERSION 6.00 MARCH 2, 1981

222
OMNITAB 80 TEST 52 ACOALESCE AND AAVERAGE INSTRUCTIONS. (10.3) PAGE 1 THE FOLLOWING ARE EXAMPLES OF THE ACOALESCE AND AAVERAGE INSTRUCTIONS. ARRAY A IS THE ORIGINAL ARRAY. ARRAY B CONTAINS THE RESULTS OF ACOALESCE. ARRAY C CONTAINS THE RESULTS OF AAVERAGE.

ARRAY A ARRAY B

1 . 0000000

0.

1 . 0000000

0.2.0000000

22

1

1

0000000

0000000

0000000

0000000

1

1

2

3

0000000

0000000

0000000

0000000

2.0000000

3.0000000

1 . 0000000

0.1.0000000

1.0000000

0.2.0000000

0.

0.

ARRAY C

1 . 0000000

0.2 . 0000000

0.

0.

2 . 0000000

3 . 0000000

1.0000000

0.0.

1 . 0000000

1 . 5000000

1 . 0000000

0.

0.

1 . 0000000

3.0000000

3.0000000

0.

0.

. 50000000

1 . 5000000 3.0000000

0.0.

3 . 0000000

3 . 0000000

1.0000000

0.

0.

1 . 5000000

1 . 5000000

1.0000000

0.

0.

ttt*««tt,*ttttttt*«*t«t«*t*«««t«*tit«tttttttttt«tttt*t*ttttttt*t*ttti«ttttt«

THE FOLLOWING VALUE MUST BE EQUAL TO OR NEAR ZERO.

0. ***************************************************************************

223
OMNI TAB 80 TEST 52 ACOALESCE AND AAVERAGE INSTRUCTIONS. (10.3) PAGE 2

LIST OF DATA, INSTRUCTIONS AND DIAGNOSTICS

DIMENSION WORKSHEET SIZE OF 5 ROWS AND 16 COLUMNS

READ THE FOLLOWING DATA INTO COLUMNS 1***4

1 1 2

2 1 3

1 2 1

1 2 2 1 3 1

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM TO 5.

ACOALESCE ON FIRST COL OF .ARRAY A IN R=l, C=l SIZE 5X4 PUT ARRAY B IN R=l, C=5 AAVERAGE ON FIRST COL OF ARRAY A IN R=l, C=l SIZE 5X4 PUT ARRAY C IN R=l, C=9 TITLE 1 THE FOLLOWING ARE EX.AMPLES OF THE ACOALESCE AND AAVERAGE IN TITLE2STRUCTI0NS. ARRAY A IS THE ORIGINAL ARRAY. TITLE3 ARRAY B CONTAINS THE RESULTS OF ACOALESCE. ARRAY C CONTAINS

TITLE4 THE RESULTS OF .AAVERAGE. NEW PAGE SPACE NOTE ARRAY A ARRAY B SPACE NPRINT COLUMNS 1***8 SPACE 2 NOTE ARRAY C SPACE NPRINT COLUMNS 13***16 AND 9***12

ROWSUM THE ENTIRE WORKSHEET AND STORE SUM IN COLUMN 13 SET THE FOLLOWING VALUES IN COLUMN 14 -15.0 -19.5 -18.0 -3.0 -7.0

ADD COLUMN 13 TO COLUMN 14 AND STORE IN COLUMN 14 AVERAGE COLUMN 14 AND STORE IN COLUMN 14 SPACE 2 NOTE ***************************************************************************

SPACE NOTE THE FOLLOWING VALUE MUST BE EQUAL TO OR NEAR ZERO. SPACE ABRIDGE ROW 1 OF COLUMN 14 SPACE

\Q7 £ ***************************************************************************

NATIONAL BUREAU OF STANDARDS. WASHINGTON, D. C. 20234

OMNI TAB 80 VERSION 6.00 MARCH 2, 1981

224
OMNITAB 80 TEST 53 MTRIAN, MINVERT AND MRAISE INSTRUCTIONS. (11.3) AND (11.5) PAGE 1 THE FOLLOWING IS AN EXAMPLE OF THE MTRIAN COMMAND.

MATRIX A IS THE ORIGINAL MATRIX. ROW/COL 2 3

3 4.0000 6.0000

4 6.0000 25.0000

5 8.0000 20.0000

6 10.0000 27.0000

MATRIX B IS THE LOWER TRIANGULAR MATRIX OF MATRIX A. (B TIMES B-TRANSPOSE EQUALS A). ROW/COL 7 8

3 2.0000 .0000

4 3.0000 4.0000

5 4.0000 2.0000

6 5.0000 3.0000

MATRIX C IS THE INVERSE OF MATRIX B ROW/COL 11 12

3 .5000 .0000 4 -.3750 .2500

5 -.3125 -.1250

6 -1.0625 -.6250

THE FOLLOWING VALUES MUST BE EQUAL TO OR NEAR ZERO.

5.96046-008 .00000 it**********************************************************************

4 5 8.0000 10.0000 20.0000 27 . 0000

36.0000 30.0000

30.0000 36.0000

TRIX A.

9 10 .0000 .0000

.0000 .0000 4.0000 .0000 1.0000 1.0000

13 14 .0000 .0000 .0000 .0000 .2500 .0000 -.2500 1.0000

225
OMNITAB 80 TEST 53 MTRIAN, M INVERT AND MRAISE INSTRUCTIONS. (11.3) AND (11.5) PAGE THE FOLLOWING IS AN EXAMPLE OF THE MRAISE COMMAND.

MATRIX A IS THE ORIGINAL MATRIX. ROW/COL 7 8 3 2.00 .00

4 3 . 00 4 . 00

5 4.00 2.00

6 5.00 3.00

MATRIX B IS MATRIX A RAISED TO THE SECOND POWER ROW/COL 25 26 2

3 4 . 00 .00

4 18.00 16.00

5 30.00 16.00

6 28.00 17.00

***************************************************************************

THE FOLLOWING VALUE MUST BE EQUAL TO OR NEAR ZERO.

.00 ***************************************************************************

9 10 .00 .00

.00 .00 4.00 .00 1.00 1.00

7 28

.00 .00

.00 .00 16.00 .00 5.00 1.00

226
OMNITAB 80 TEST 53 MTRIAN, MINVERT AND MRAISE INSTRUCTIONS. (11.3) AND (11.5) PAGE 3

LIST OF DATA, INSTRUCTIONS AND DIAGNOSTICS

READ THE FOLLOWING DATA INTO COLUMNS 2***5 0.0 0.0 0.0 0.0

0.0 0.0 0.0 0.0

4.0 6.0 8.0 10.0 6.0 25.0 20.0 27.0

8.0 20.0 36.0 30.0

10.0 27.0 30.0 36.0

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM TO 6.

MTRIAN MATRIX IN R=3 C=2 SIZE 4X4 PUT TRIANGULAR IN R=3 C=7 INVERSE IN R=3 C= 1

MINVERT MATRIX IN ROW 3 OF COL 7 SIZE 4X4 AND PUT INVERSE IN ROW 3 OF COL 15 ++++ SMALLEST ERROR BOUND ON INVERTED MATRIX IS .0 MSUB MATRIX IN R=3 C=ll SIZE 4X4 MINUS MATRIX IN R=3 C=15 4X4 PUT IN R=3 C=19

TITLE1 THE FOLLOWING IS AN EXAMPLE OF THE MTRIAN COMMAND. NEW PAGE SPACE

NOTE MATRIX A IS THE ORIGINAL MATRIX. FIXED 4 DIGITS AFTER DECIMAL POINT

MPRINT MATRIX A IN ROW 3 OF COL 2, SIZE 4X4

SPACE NOTE MATRIX B IS THE LOWER TRIANGULAR MATRIX OF MATRIX A. NOTE (B TIMES B-TRANSPOSE EQUALS A). MPRINT MATRIX B IN ROW 3 OF COL 7 SIZE 4X4

SPACE

NOTE MATRIX C IS THE INVERSE OF MATRIX B MPRINT MATRIX C IN R=3 C=ll SIZE=4X4

ROWSUM COLUMNS 7***10 PUT IN COLUMN 23 ROWSUM COLUMNS 19***22 PUT IN COLUMN 24 AVERAGE COLUMN 23 AND STORE IN COLUMN 23 SUBTRACT 4.8333333 FROM COLUMN 23 AND STORE IN COLUMN 23 AVERAGE COLUMN 24 AND STORE IN COLUMN 24 FLOATING 6 SIGNIFICANT DIGITS

SPACE 2 NOTE ***************************************************************************

SPACE NOTE THE FOLLOWING VALUES MUST BE EQUAL TO OR NEAR ZERO. SPACE ABRIDGE ROW 1 OF COLUMNS 23 AND 24 SPACE

NOTE ***************************************************************************

MRAISE MATRIX A IN R=3 C=7 SIZE 4X4 TO 2ND POWER STORE IN R=3 C=25 MMULT MATRIX A IN R=3 C=7 SIZE 4X4 BY MATRIX IN R=3 C=7 4X4 PUT IN R=3 C=29

MSUB MATRIX IN R=3 C=25 SIZE 4X4 FROM MATRIX IN R=3 C=29 4X4 PUT IN R=3 C=33

ROWSUM COLUMNS 33***36 AND STORE IN COLUMN 37 AVERAGE COLUMN 37 AND PUT IN COLUMN 37 TITLE1 THE FOLLOWING IS AN EXAMPLE OF THE MRAISE COMMAND. NEW PAGE SPACE

227
OMNITAB 80 TEST 53 MTRIAN, M INVERT AND MRAISE INSTRUCTIONS. (11.3) AND (11.5) PAGE 4

LIST OF DATA, INSTRUCTIONS AND DIAGNOSTICS

FIXED 2 DIGITS AFTER DECIMAL POINT

NOTE MATRIX A IS THE ORIGINAL MATRIX. MPRINT MATRIX A IN ROW 3 OF COL 7 SIZE 4X4 SPACE

NOTE MATRIX B IS MATRIX A RAISED TO THE SECOND POWER. MPRINT MATRIX IN ROW 3 OF COL 25 SIZE 4X4

SPACE 2 NOTE ***************************************************************************

SPACE NOTE THE FOLLOWING VALUE MUST BE EQUAL TO OR NEAR ZERO. SPACE ABRIDGE ROW 1 OF COLUMN 37 SPACE NOTE ***************************************************************************

NATIONAL BUREAU OF STANDARDS. WASHINGTON, D. C. 20234 OMNITAB 80 VERSION 6.00 MARCH 2, 1981

228
OMNITAB 80 TEST 54 MATRIX INSTRUCTIONS M(XX') AND M(X'X). (11.4)

THE FOLLOWING IS AN EXAMPLE OF M(XX') AND M(X'X).

PAGE

MATRIX X

ROW/COL

2

34

3

5 . 0000000

5 . 0000000

-2 . 0000000

4 6.0000000

6.0000000

3 . 0000000

5 7.0000000

2 . 0000000 6.0000000

MATRIX XX

ROW/COL

12

3

37 110.00000 75.000000

50.000000

38 75.000000

65 . 000000

20.000000

39 50.000000 20.000000 49.000000

MATRIX Y

ROW/COL

2

3

1 0. -14.0000002 4.0000000

2.0000000

3

5 . 0000000

5.0000000

MATRIX Y'Y

ROW/COL

2

34

40 196.00000

-28 . 000000 -70.000000

41 -28.000000

20.000000

30.000000

42 -70.000000

30.000000

50.000000

***************************************************************************

THE FOLLOWING VALUE MUST BE EQUAL TO OR NEAR ZERO.

0. ***************************************************************************

229
OMNITAB 80 TEST 54 MATRIX INSTRUCTIONS M(XX') AND M(X'X). (11.4) PAGE 2

LIST OF DATA, INSTRUCTIONS AND DIAGNOSTICS

READ THE FOLLOWING DATA INTO COLUMNS 1***5

1.0 2.0 3. 4. 1. 0.0 4.0 5. 6. 7. -14.0 2.0 5. 6. 2. -2.0 3.0 -2. 3. 6.

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM TO 4.

M(XX') MULTIPLY MATRIX X IN R=2, C=3 SIZE 3X3 BY ITS TRANSPOSE, PUT IN R=l, C=37

M(X'X) MULTIPLY TRANSPOSE OF MATRIX X IN R=2, C=l SIZE 2X3 BY X PUT IN R=2, C=40

NEW PAGE NOTE THE FOLLOWING IS AN EXAMPLE OF M(XX') AND M(X'X). SPACE 2 NOTE MATRIX X SPACE MPRINT MATRIX X IN ROW 2 OF COLUMN 3 SIZE 3X3 SPACE 2 NOTE MATRIX XX' SPACE MPRINT MATRIX IN ROW 1 OF COLUMN 37 SIZE 3X3 SPACE 2 NOTE MATRIX Y SPACE MPRINT MATRIX Y IN ROW 2 OF COLUMN 1 SIZE 2X3 SPACE 2 NOTE MATRIX Y'Y

SPACE MPRINT MATRIX IN ROW 2 OF COLUMN 40 SIZE 3X3 ROWSUM COLUMNS 37***42 AND STORE IN COLUMN 43 AVERAGE COLUMN 43 AND STORE IN COLUMN 43 SUBTRACT THE VALUE 161. FROM COLUMN 43 AND STORE IN COLUMN 43 SPACE 2 NOTE ***************************************************************************

SPACE

NOTE THE FOLLOWING VALUE MUST BE EQUAL TO OR NEAR ZERO. SPACE ABRIDGE ROW 1 OF COLUMN 43 NOTE ***************************************************************************

NATIONAL BUREAU OF STANDARDS. WASHINGTON, D. C. 20234 OMNITAB 80 VERSION 6.00 MARCH 2, 1981

230
OMNITAB 80 TEST 55 BESSEL FUNCTIONS. (12.1), (12.2) AND (12.3) BESSEL FUNCTIONS J AND Y FOR ORDERS AND 1

PAGE 1

COL 1 X COL 2

J ZERO (X) COL 3

J ONE (X) COL 4Y ZERO (X) COL 5 Y ONE (X)

1.0000000

1 . 5000000 2.0000000

2 . 5000000

3 . 0000000

.76519768

.51182767

.22389078 -.048383776

-.26005195

.44005058 .55793650

.57672480

.49709410

.33905896

.088256964

.38244892

.51037567

.49807036

.37685001

-.78121281 -.41230863

-.10703243

.14591814

. 32467442

3 . 5000000 4.0000000

4.5000000

5 . 0000000

-.38012774

-.39714981 -.32054251 -.17759677

.13737753 -.066043328

-.23106043 -.32757914

.18902194 -.016940739

-.19470501 -.30851762

.41018842

.39792571 .30099732 .14786314

***************************************************************************

RELATIONAL EXPRESSION OF BESSEL FUNCTIONS ARE DEFINED AS FOLLOWS. LET YO =Y ZERO (X), YONE=Y ONE (X), JO =J ZERO (X), JONE=J ONE (X), THEN Y0*J0NE-Y0NE*J0-2/(PI*X)=0.

HANDBOOK OF MATHEMATICAL FUNCTIONS AMS 55 PAGE 360. THEREFORE THE FOLLOWING VALUE MUST BE EQUAL TO OR NEAR ZERO.

*-5. 1740143-09 ***************************************************************************

231
OMNITAB 80 TEST 55 BESSEL FUNCTIONS. (12.1), (12.2) AND (12.3) BESSEL FUNCTIONS I AND K FOR ORDERS AND 1

.

PAGE

COL 1 X COL 2

I ZERO (X) I COL 3 ONE (X) COL 4K ZERO (X) COL 5 K ONE (X)

1

12

2

3

. 0000000

. 5000000

. 0000000

5000000 0000000

1.2660659

1.6467232 2.2795853

3.2898391 4.8807926

12

3

.56515910

.98166642

.5906368

.5167162 .9533702

.42102444

.21380556

.11389387

.062347553 .034739504

.60190722 .27738780

.13986588 .073890815

.040156431

34

4

5

. 5000000

. 0000000

.5000000

. 0000000

7.3782034

11.301922

17.481172 27.239872

6

9

15 24

.2058349

.7594651

.389223

.335642

.019598897 .011159676 .0063998572

.0036910983

.022239393 .012483499 .0070780949 .0040446134

COL 1 X COL 2

I ZERO (X) *EXP(-X)I COL 3 ONE (X) 'EXP(-X)

COL 4

K ZERO (X) *EXP(X)

COL 5 K ONE (X) *EXP(X)

1122

3

. 0000000

. 5000000

. 0000000

. 5000000

.0000000

.46575961

.36743361 .30850832 .27004644

.24300035

.20791041 .21903939

.21526929

.20658465

.19682671

1.1444631

.95821005

.84156821 .75954869 .69776160

1.6361535 1.2431659

1.0334768

.90017442 .80656347

34

4

5

. 5000000

. 0000000

. 5000000

. 0000000

.22280244

.20700192

.19419828

.18354081

.18739998 .17875084

.17095882

.16397227

.64902633 .60929766

.57609679

.54780756

.73646755 .68157594

.63714980

.60027386

it************************************************************************

RELATIONAL EXPRESSION OF BESSEL FUNCTIONS ARE DEFINED AS FOLLOWS. LET KO =K ZERO (X), KONE=K ONE (X), 10 =1 ZERO (X), IONE=I ONE (X), THEN K0*I0NE-K0NE*I0-1/X=0.

HANDBOOK OF MATHEMATICAL FUNCTIONS AMS 55 PAGE 375. THEREFORE THE FOLLOWING VALUES MUST BE EQUAL TO OR NEAR ZERO.

*-8 . 6923440-09 *-7. 4505806-09 it************************************************************************

232
OMNITAB 80 TEST 55 BESSEL FUNCTIONS. (12.1), (12.2) AND (12.3) PAGE 3

LIST OF DATA, INSTRUCTIONS AND DIAGNOSTICS

GENERATE X FROM 1.0 IN STEPS OF .5 THRU 5.0 IN COL 1

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM TO 9.

BJZERO OF COL 1 STORE IN COL 2 BJONE OF COL 1 STORE IN COL 3 BYZERO OF COL 1 STORE IN COL 4 BYONE OF COL 1 STORE IN COL 5 TITLE1 BESSEL FUNCTIONS J AND Y FOR ORDERS AND 1

NEW PAGE NOTE COL 1 COL 2 COL 3 COL 4 COL 5 NOTE X J ZERO (X) J ONE (X) Y ZERO (X) Y ONE (X) SPACE NPRINT COLS 1***5 MULTIPLY COL 4 BY COL 3 STORE IN COL 6 MULTIPLY COL 5 BY COL 2 MULTIPLY -1.0 ADD TO COL 6 AND STORE IN COL 6 MULTIPLY COL 1 BY *PI* STORE IN COL 7 DIVIDE 2.0 BY COL 7 MULT -1.0 ADD TO COL 6 AND STORE IN COL 6 AVERAGE COL 6 STORE IN COL 6 SPACE 2 NOTE ***************************************************************************

SPACE

NOTE RELATIONAL EXPRESSION OF BESSEL FUNCTIONS ARE DEFINED AS FOLLOWS. NOTE LET YO =Y ZERO.(X), YONE=Y ONE (X), NOTE JO =J ZERO (X), JONE=J ONE (X), NOTE THEN Y0*J0NE-Y0NE*J0-2/(PI*X)=0.

NOTE HANDBOOK OF MATHEMATICAL FUNCTIONS AMS 55 PAGE 360. NOTE THEREFORE THE FOLLOWING VALUE MUST BE EQUAL TO OR NEAR ZERO. SPACE ABRIDGE ROW 1 OF COL 6 SPACE

NOTE ***************************************************************************

B I ZERO OF COL 1 STORE IN COL 2 BIONE OF COL 1 STORE IN COL 3 BKZERO OF COL 1 STORE IN COL 4 BKONE OF COL 1 STORE IN COL 5 MULTIPLY COL 2 BY COL 5 STORE IN COL 6 MULTIPLY COL 3 BY COL 4 MULT BY 1.0 ADD TO COL 6 AND STORE IN COL 6 DIVIDE 1.0 BY COL 1 MULTIPLY BY -1.0 ADD TO COL 6 AND STORE IN COL 6 AVERAGE COL 6 STORE IN COL 6 TITLE1 BESSEL FUNCTIONS I AND K FOR ORDERS AND 1

NEW PAGE NOTE COL 1 COL 2 COL 3 COL 4 COL 5 NOTE X I ZERO (X) I ONE (X) K ZERO (X) K ONE (X) SPACE NPRINT COLS 1***5 EXIZERO OF COL 1 STORE IN COL 2 EXIONE OF COL 1 STORE IN COL 3 EXKZERO OF COL 1 STORE IN COL 4

233
OMNITAB 80 TEST 55 BESSEL FUNCTIONS. (12.1), (12.2) AND (12.3) PAGE 4

LIST OF DATA, INSTRUCTIONS AND DIAGNOSTICS

EXKONE OF COL 1 STORE IN COL 5 MULTIPLY COL 2 BY COL 5 STORE IN COL 7 MULTIPLY COL 3 BY COL 4 MULT BY 1.0 ADD TO COL 7 AND STORE IN COL 7 DIVIDE 1.0 BY COL 1 MULTIPLY BY -1.0 ADD TO COL 7 AND STORE IN COL 7 AVERAGE COL 7 STORE IN COL 7 SPACE

NOTE COL 1 COL 2 COL 3 COL 4 COL 5 NOTE X I ZERO (X) I ONE (X) K ZERO (X) K ONE (X) NOTE *EXP(-X) *EXP(-X) *EXP(X) *EXP(X) SPACE NPRINT COLS 1***5 SPACE 2 NOTE ***************************************************************************

SPACE NOTE RELATIONAL EXPRESSION OF BESSEL FUNCTIONS ARE DEFINED AS FOLLOWS. NOTE LET KO =K ZERO (X), KONE=K ONE (X), NOTE 10 =1 ZERO (X), IONE=I ONE (X), NOTE THEN K0*I0NE-KONE*IO-l/X=O.

NOTE HANDBOOK OF MATHEMATICAL FUNCTIONS A.MS 55 PAGE 375. NOTE THEREFORE THE FOLLOWING VALUES MUST BE EQUAL TO OR NEAR ZERO. SPACE ABRIDGE ROW 1 OF COLS 6 AND 7 SPACE

NOTE ***************************************************************************

NATIONAL BUREAU OF STANDARDS. WASHINGTON, D. C. 20234. OMNITAB 80 VERSION 6.00 MARCH 2, 1981

234
OMNITAB 80 TEST 56 BESSEL OF COMPLEX ARGS. (12.4), (12.5), (12.6) AND (12.7) BESSEL FUNCTIONS COMPLEX ARGUMENTS OF ORDER 0, PHI=PI/4. PAGE 1

COL 1

Z

COL 2 COL 3 I(Z*EXP(I*PI/4))

REAL PART IMAGINARY

COL 4 COL 5 K(Z*EXP(I*PI/4))

REAL PART IMAGINARY

1 . 0000000

2 . 0000000

3.0000000 4.0000000

5 . 0000000

.98438178 .75173418 -.22138025

-2.5634165 -6.2300825

.24956604

.97229163 1.9375868 2.2926903

.11603438

.28670621 -.041664514

-.067029233

-.036178848 -.011511727

-.49499463 -.20240007 -.051121884

.0021983993 .011187586

6.0000000

7 . 0000000

8 . 0000000

9 . 0000000

10.000000

-8.8583159 -3.6329302

20.973955 73.935729

138.84047

-7.3347465

-21.239403

-35.016725

-24.712783

56.370458

.00065303750

.0019220216

.0014858341 .00063716419

.00012946633

.0072164915

.0027003651 .00036958396

-.00031915291 -.00030752457

BESSEL FUNCTIONS COMPLEX ARGUMENTS OF ORDER 1, PHI=PI/4

COL 1

Z

COL 6 COL 7 I(Z*EXP(I*PI/4))

REAL PART IMAGINARY

COL 8 COL 9 K(Z*EXP(I*PI/4))

REAL PART IMAGINARY

1 . 0000000

2 . 0000000

3 . 0000000 4.0000000

5 . 0000000

.30755663 .29977544 -.48745418

-2.5638217

-5.7979079

.39586826

.99707765 1.7326442

1.8692484 -.35977666

.24199597 .080049397 .080270222 .039166010

.011577754

.74032227

.23080593 .049898308

.0053512965 .012737390

6.0000000

7 . 0000000

8.0000000

9 . 0000000

10.000000

, 8766769

.3171651 .673535 72.054291 131.87864

-7.

-2.

21,

-7.4621992 -20.368926

-32.506861 -20.719209 59.477610

.00028834994

.0021488969

.0015669748 .00065005053 .00012351960

.0076760896

.0027435871 .00032285705 .00035578180

.00032280186

THE FOLLOWING VALUES MUST BE EQUAL TO OR NEAR ZERO.

*-5. 1222742-09 * 3.7834980-09 ********************** ******************************* **********************

235
OMNITAB 80 TEST 56 BESSEL OF COMPLEX ARGS. (12.4), (12.5), (12.6) AND (12.7) BESSEL FUNCTIONS COMPLEX ARGUMENTS OF ORDER 0, PHI=PI/4.

COL 1 COL 2 COL 3 EXP(-Z/SQRT(2))*

I(Z*EXP(I*PI/4))

Z REAL PART IMAGINARY

COL 4 COL 5 EXP(Z/SQRT(2))*

K(Z*EXP(I*PI/4))

REAL PART IMAGINARY

PAGE

1 . 0000000 2.0000000

3 . 0000000 4.0000000

5 . 0000000

.48536783 .18275916 .026537570

.15151265

.18156449

.12305320

.23638036

.23226482

.13551117 .0033816124

.58147316

.17137658 .55916756

.61210372 .39500569

-1.0039060 -.83252215

-.42646615

.037194341 .38388335

6 . 0000000

7 . 0000000

8 . 0000000 9.0000000

10.000000

.12729042 .025740030

.073272289

.12735653

.11792078

-.10539734

-.15048537

-.12233055 -.042568515

.047876879

..045445780

.27127281 .42531519 .36990016

.15243425

.50220559

.38112769

.10579221 -.18528146

-.36208084

BESSEL FUNCTIONS COMPLEX ARGUMENTS OF ORDER 1, PHI=PI/4.

COL COL 6 COL 7 EXP(-Z/SQRT(2))*

I(Z*EXP(I*PI/4))

REAL PART IMAGINARY

COL 8 COL 9 EXP(Z/SQRT(2))*

K(Z*EXP(I*PI/4))

REAL PART IMAGINARY

1 . 0000000

2 . 0000000

3 . 0000000

4.0000000

5 . 0000000

.15164655 .072880425 .058432716

.15153659

.16896955

.19519025 .24240626

.20769769

.11048333

.010485041

.49079564

.32926321

.66962581

. 66264302

.39727131

-1.5014587 -.94936258 -.41625890

.090537667

.43706228

6.0000000

7.0000000

8 . 0000000 9.0000000

10.000000

-.11318467

-.016417573

.075716262

.12411569

. 11200792

-.10722879

-.14431787 -.11356237

-.035689463

.050515863

.020066670

.30329384

.44854146

.37738121 .14543255

.53418966

.38722801 .092416785 -.20654605 -.38006840

***************************************************************************

THE FOLLOWING VALUES MUST BE EQUAL TO OR NEAR ZERO.

*-4. 6566129-09 * 4.5984052-09 ***************************************************************************

236
OMNITAB 80 TEST 56 BESSEL OF COMPLEX ARGS. (12.4), (12.5), (12.6) AND (12.7) PAGE 3 BESSEL FUNCTIONS COMPLEX ARGUMENTS OF ORDER 0. PHI=30 DEGREES OR .523598775 RADIANS.

COL 1

Z

1.0000000 2.0000000

3.0000000 4.0000000

5.0000000

6.0000000

7 . 0000000

8 . 0000000

9 . 0000000

10.000000

COL 2 COL 3 I(Z*EXP(I*PHI))

REAL PART IMAGINARY

COL 4 COL 5 K(Z*EXP(I*PHI))

REAL PART IMAGINARY

1.1167501

1 . 3463908

1.1557921 -.95624276

-8.4114261

-27.417000

-65.537291 -121.48827

-151.42078

13.941978

.23003206

1.0809681 3.0026294 6.4823126

11.016143

12.101181 -5.6731651 -80.956392 -289.50409

-735.81133

.36238959 .048685394 -.0090476354 -.011997036

-.0066857185

-.0027680361 -8. 89705 18-04 - 1.89 34 144-04

" 7.3247812-06

3.5164107-05

-.32126957 -.14140496

-.051315125

-.014896471 -.0027524014

3.0865415-04 6.2478134-04

3.8441522-04

1.7001488-04

5.8180746-05

BESSEL FUNCTIONS COMPLEX ARGUMENTS OF ORDER 1 PHI =30 DEGREES

COL 1

Z

COL 6 COL 7 I(Z*EXP(I*PHI))

REAL PART IMAGINARY

COL 8 COL 9 K(Z*EXP(I*PHI))

REAL PART IMAGINARY

1 . 0000000

2 . 0000000

3.0000000 4.0000000

5 . 0000000

6.0000000

7 . 0000000

8.0000000

9 . 0000000

10.000000

.43071045

.78785283 .64916390 -1.3246755 -8.2791920

-25.943990

-61.186409 -112.10820

-135.53557

32.627300

.31377427 1.0378416

2.6807601 5.7005536

9.5750115

9.9659038 -7.8292065

-80.535762 -279.79750

-703.13503

.43914511 .043382938 -.014118098 -.014103119

-.0073764499

-.0029510440

*-9. 2250587-04

*-l. 8796503-04

* 1.2192358-05

* 3.8062966-05

-.51609738

-.17529605 -.057716939 -.015767526

-.0026735305

4.3872466-04

6.9273014-04 4.1048924-04

1.7787054-04 5.9819189-05

***************************************************************************

THE FOLLOWING VALUES MUST BE EQUAL TO OR NEAR ZERO.

*-6. 3329935-09 * 2.9831426-09

ft**************************************************************************

237
OMNITAB 80 TEST 56 BESSEL OF COMPLEX ARGS. (12.4), (12.5), (12.6) AND (12.7) PAGE 4 BESSEL FUNCTIONS COMPLEX ARGUMENTS OF ORDER 0. PHI =45 DEGREES OR .785398163 RADIANS.

COL 1 COL 2 COL 3 EXP(-Z*COS(PHI))*

I(Z*EXP(I*PHI))

Z REAL PART IMAGINARY

COL 4 COL 5 EXP(Z*COS(PHI))*

K(Z*EXP(I*PHI))

REAL PART IMAGINARY

1 . 0000000

2.0000000

3 . 0000000 4.0000000

5 . 0000000

.15164655 .072880426 .058432714

.15153659

.16896955

.19519024

.24240626

.20769769

.11048333 -.010485037

.49079566 .32926320

.66962580

.66264302

.39727132

-1.5014587 -.94936258 -.41625892

.090537650

.43706227

6 . 0000000

7.0000000

8 . 0000000

9 . 0000000

10.000000

-.11318467 -.016417579 .075716257

.12411569

.11200792

-.10722878

-.14431787

-.11356237 -.035689469

.050515857

-.020066690 .30329382

.44854146

.37738122

.14543257

.53418966

.38722802 .092416807 -.20654603

-.38006839

BESSEL FUNCTIONS COMPLEX ARGUMENTS OF ORDER 1, PHI=45 DEGREES.

COL 1 COL 6 COL 7 EXP(-Z*COS(PHI))*

I(Z*EXP(I*PHI))

Z REAL PART IMAGINARY

COL 8 COL 9 EXP(Z*COSfPHI))*

K(Z*EXP(I*PHI))

REAL PART IMAGINARY

1 . 0000000

2 . 0000000 3.0000000 4.0000000

5 . 0000000

.15164655 .072880426 .058432714

.15153659

.16896955

.19519024

.24240626

.20769769

.11048333 .010485037

.49079566

.32926320

.66962580

.66264302

.39727132

-1.5014587 -.94936258

-.41625892

.090537650

.43706227

6 . 0000000

7 . OOOOOOO

8 . OOOOOOO

9 . OOOOOOO

10.000000

.11318467 .016417579

.075716257

.12411569

.11200792

.10722878

.14431787

.11356237 .035689469 .050515857

.020066690

.30329382 .44854146

.37738122

.14543257

.53418966

.38722802 .092416807 -.20654603 -.38006839

***************************************************************************

THE FOLLOWING VALUES MUST BE EQUAL TO OR NEAR ZERO.

*-l. 7939677-09 * 3.4866389-09 ***************************************************************************

238
OMNITAB 80 TEST 56 BESSEL OF COMPLEX ARGS. (12.4), (12.5), (12.6) AND (12.7) PAGE 5

LIST OF DATA, INSTRUCTIONS AND DIAGNOSTICS

GENERATE FROM 1.0 IN STEPS OF 1.0 THRU 10. AND PUT IN COL 1

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM TO 10.

KBIZERO OF VALUES IN COL 1 PUT REAL RESULTS IN COL 2, COMPLEX RESULTS IN COL 3 KBKZERO OF VALUES IN COL 1 PUT REAL RESULTS IN COL 4, COMPLEX RESULTS IN COL 5 TITLE1 BESSEL FUNCTIONS COMPLEX ARGUMENTS OF ORDER 0, PHI=PI/4. NEW PAGE NOTE COL 1 COL 2 COL 3 COL 4 COL 5 NOTE I(Z*EXP(I*PI/4)) K(Z*EXP(I*PI/4))

NOTE Z REAL PART IMAGINARY REAL PART IMAGINARY SPACE NPRINT COLS 1***5 KBIONE OF VALUES IN COL 1 PUT REAL RESULTS IN COL 6, COMPLEX RESULTS IN COL 7 KBKONE OF VALUES IN COL 1 PUT REAL RESULTS IN COL 8, COMPLEX RESULTS IN COL 9 SPACE NOTE BESSEL FUNCTIONS COMPLEX ARGUMENTS OF ORDER 1, PHI=PI/4

SPACE

NOTE COL 1 COL 6 COL 7 COL 8 COL 9 NOTE I(Z*EXP(I*PI/4)) K(Z*EXP(I*PI/4))

NOTE Z REAL PART IMAGINARY REAL PART IMAGINARY

SPACE NPRINT 1 COLS 6***9 MULT COL 2 BY COL 8 STORE IN COL 11 MULT COL 3 BY COL 9 MULTIPLY BY -1. ADD TO COL 11 AND PUT IN COL 11 MULT COL 6 BY COL 4 MULTIPLY BY 1.0 ADD TO COL 11 AND STORE IN COL 11 MULT COL 7 BY COL 5 MULTIPLY BY -1.0 ADD TO COL 11 AND STORE IN COL 11 SQRT 2.0 STORE IN COL 10 DIVIDE COL 10 BY COL 1 MULTIPLY BY .5 ADD 0.0 STORE IN COL 10 SUBTRACT COL 10 FROM COL 11 STORE IN COL 11 MULT COL 2 BY COL 9 MULTIPLY BY 1.0 ADD TO COL 10 AND STORE IN COL 12 MULT COL 3 BY COL 8 MULTIPLY BY 1.0 ADD TO COL 12 AND STORE IN COL 12 MULT COL 6 BY COL 5 MULTIPLY BY 1.0 ADD TO COL 12 AND STORE IN COL 12 SPACE MULT COL 7 BY COL 4 MULTIPLY BY 1.0 ADD TO COL 12 AND STORE IN COL 12 SPACE 2 NOTE ***************************************************************************

SPACE

NOTE THE FOLLOWING VALUES MUST BE EQUAL TO OR NEAR ZERO. SPACE AVERAGE COL 11 STORE IN COL 11 AVERAGE COL 12 STORE IN COL 12 ABRIDGE ROW 1 OF COLS 11 AND 12 SPACE NOTE ***************************************************************************

KEXIZERO OF VALUES IN COL 1 PUT REAL RESULTS IN COL 2, COMPLEX RESULTS IN COL 3 KEXKZERO OF VALUES IN COL 1 PUT REAL RESULTS IN COL 4, COMPLEX RESULTS IN COL 5 KEXIONE OF VALUES IN COL 1 PUT REAL RESULTS IN COL 6, COMPLEX RESULTS IN COL 7 KEXKONE OF VALUES IN COL 1 PUT REAL RESULTS IN COL 8, COMPLEX RESULTS IN COL 9

239
OMNITAB 80 TEST 56 BESSEL OF COMPLEX ARGS. (12.4), (12.5), (12.6) AND (12.7) PAGE 6

LIST OF DATA, INSTRUCTIONS AND DIAGNOSTICS

NEW PAGE

NOTE COL 1 COL 2 COL 3 COL 4 COL 5 NOTE EXP(-Z/SQRT(2))* EXP(Z/SQRT(2))*

NOTE I(Z*EXP(I*PI/4)) K(Z*EXP(I*PI/4))

NOTE Z REAL PART IMAGINARY REAL PART IMAGINARY

SPACE NPRINT COLS 1***5 SPACE NOTE BESSEL FUNCTIONS COMPLEX ARGUMENTS OF ORDER 1, PHI=PI/4. SPACE NOTE COL 1 COL 6 COL 7 COL 8 COL 9 NOTE EXP(-Z/SQRT(2))* EXP(Z/SQRT(2))*

NOTE I(Z*EXP(I*PI/4)) K(Z*EXP(I*PI/4))

NOTE Z REAL PART IMAGINARY REAL PART IMAGINARY SPACE NPRINT 1 COLS 6***9 MULT COL 2 BY COL 8 STORE IN COL 11 MULT COL 3 BY COL 9 MULTIPLY BY -1. ADD TO COL 11 AND STORE IN COL 11 MULT COL 6 BY COL 4 MULTIPLY BY 1.0 ADD TO COL 11 AND STORE IN COL 11 MULT COL 7 BY COL 5 MULTIPLY -1.0 ADD TO COL 11 AND STORE IN COL 11 SQRT 2.0 STORE IN 10 DIVIDE COL 10 BY COL 1 MULTIPLY BY .5 ADD 0.0 STORE IN COL 10 SUBTRACT COL 10 FROM COL 11 AND STORE IN COL 11 MULT COL 2 BY COL 9 MULTIPLY BY 1.0 ADD TO COL 10 AND STORE IN COL 12 MULT COL 3 BY COL 8 MULTIPLY BY 1.0 ADD TO COL 12 AND STORE IN COL 12 MULT COL 6 BY COL 5 MULTIPLY BY 1.0 ADD TO COL 12 AND STORE IN COL 12 MULT COL 7 BY COL 4 MULTIPLY BY 1.0 ADD TO COL 12 AND STORE IN COL 12 AVERAGE COL 11 STORE IN COL 11 AVERAGE COL 12 STORE IN COL 12 SPACE 2 NOTE ***************************************************************************

SPACE NOTE THE FOLLOWING VALUES MUST BE EQUAL TO OR NEAR ZERO. SPACE ABRIDGE ROW 1 COLS 11 12 SPACE NOTE ***************************************************************************

RESET V .523598775 CIZERO OF VALUES IN COL 1 PHI=*V* STORE REAL RESULTS IN COL 2, COMPLEX IN COL 3 CKZERO OF VALUES IN COL 1 PHI=*V* STORE REAL RESULTS IN COL 4, COMPLEX IN COL 5 TITLE 1 BESSEL FUNCTIONS COMPLEX ARGUMENTS OF ORDER 0. PHI TITLE2=30 DEGREES OR .523598775 RADIANS. NEW PAGE

NOTE COL 1 COL 2 COL 3 COL 4 COL 5 NOTE I(Z*EXP(I*PHI)) K(Z*EXP(I*PHI))

NOTE Z REAL PART IMAGINARY REAL PART IMAGINARY

SPACE NPRINT COLS 1***5 CIONE OF VALUES IN COL 1 PHI = *V* STORE REAL RESULTS IN COL 6, COMPLEX IN COL 7 CKONE OF VALUES IN COL 1 PHI=*V* STORE REAL RESULTS IN COL 8, COMPLEX IN COL 9

240
OMNITAB 80 TEST 56 BESSEL OF COMPLEX ARGS. (12.4), (12.5), (12.6) AND (12.7) PAGE 7

LIST OF DATA, INSTRUCTIONS AND DIAGNOSTICS

COL 6 COL 7 I(Z*EXP(I*PHI))

REAL PART IMAGINARY

COL 8 COL 9 K(Z*EXP(I*PHI))

REAL PART IMAGINARY

SPACE

NOTE BESSEL FUNCTIONS COMPLEX ARGUMENTS OF ORDER 1 PHI =30 DEGREES

SPACE NOTE COL 1 NOTE

NOTE Z SPACE NPRINT 1 COLS 6***9 MULT COL 2 BY COL 8 STORE IN COL 11 MULT COL 3 BY COL 9 MULTIPLY BY -1. ADD TO COL 11 AND STORE IN COL 11 MULT COL 6 BY COL 4 MULTIPLY BY 1.0 ADD TO COL 11 AND STORE IN COL 11 MULT COL 7 BY COL 5 MULTIPLY BY -1.0 ADD TO COL 11 AND STORE IN COL 11 COS *V* STORE IN COL 10 DIVIDE COL 10 BY COL 1 STORE IN COL 10 SUBTRACT COL 10 FROM COL 11 STORE IN COL 11 SIN *V* STORE IN COL 10 DIVIDE COL 10 BY COL 1 STORE IN COL 10 MULT COL 2 BY COL 9 MULTIPLY BY 1.0 ADD TO COL 10 AND STORE IN COL 12 MULT COL 3 BY COL 8 MULTIPLY BY 1.0 ADD TO COL 12 AND STORE IN COL 12 MULT COL 6 BY COL 5 MULTIPLY BY 1.0 ADD TO COL 12 AND STORE IN COL 12 MULT COL 7 BY COL 4 MULTIPLY BY 1.0 ADD TO COL 12 AND STORE IN COL 12 SPACE 2 NOTE ***************************************************************************

SPACE

NOTE THE FOLLOWING VALUES MUST BE EQUAL TO OR NEAR ZERO. SPACE AVERAGE COL 11 STORE IN COL 11 AVERAGE COL 12 STORE IN COL 12 ABRIDGE ROW 1 COLS 11 AND 12 SPACE

NOTE ***************************************************************************

RESET V .785398163 RADIANS CEIZERO OF VALUES IN COL 1 PHI=*V* STORE REAL RESULTS IN COL 2, COMPLEX IN COL 3 CEKZERO OF VALUES IN COL 1 PHI=*V* STORE REAL RESULTS IN COL 4, COMPLEX IN COL 5 CEIONE OF VALUES IN COL 1 PHI=*V* STORE REAL RESULTS IN COL 6, COMPLEX IN COL 7 CEKONE OF VALUES IN COL 1 PHI = *V* STORE REAL RESULTS IN COL 8, COMPLEX IN COL 9 TITLE2=45 DEGREES OR .785398163 RADIANS. NEW PAGE

NOTE COL 1 COL 2 COL 3 COL 4 COL 5 NOTE EXP(-Z*COS(PHI))* EXP(Z*COS(PHI))*

NOTE I(Z*EXP(I*PHL)) K(Z*EXP( I*PHI)) NOTE Z REAL PART IMAGINARY REAL PART IMAGINARY

SPACE NPRINT 1 COLS 6***9

SPACE NOTE BESSEL FUNCTIONS COMPLEX ARGUMENTS OF ORDER 1, PHI =45 DEGREES. SPACE

NOTE COL 1 COL 6 COL 7 COL 8 COL 9 NOTE EXP(-Z*COS(PHI))* EXP(Z*COS(PHI))*

NOTE I(Z*EXP(I*PHI)) K(Z*EXP(I*PHI))

241
OMNITAB 80 TEST 56 BESSEL OF COMPLEX ARGS. (12.4). (12.5), (12.6) AND (12.7) PAGE 8

LIST OF DATA, INSTRUCTIONS AND DIAGNOSTICS

NOTE Z REAL PART IMAGINARY REAL PART IMAGINARY

SPACE NPRINT 1 COLS 6***9 MULT COL 2 BY COL 8 STORE IN COL 11 MULT COL 3 BY COL 9 MULTIPLY BY -1. ADD TO COL 11 AND STORE IN COL 11 MULT COL 6 BY COL 4 MULTIPLY BY 1.0 ADD TO COL 11 AND STORE IN COL 11 MULT COL 7 BY COL 5 MULTIPLY BY -1.0 ADD TO COL 11 AND STORE IN COL 11 COS *V* STORE IN COL 10 DIVIDE COL 10 BY COL 1 AND STORE IN COL 10 SUBTRACT COL 10 FROM COL 11 AND STORE IN COL 11 SIN *V* STORE IN COL 10 DIVIDE COL 10 BY COL 1 STORE IN COL 10 MULT COL 2 BY COL 9 MULTIPLY BY 1.0 ADD TO COL 10 AND STORE IN COL 12 MULT COL 3 BY COL 8 MULTIPLY BY 1.0 ADD TO COL 1-2 AND STORE IN COL 12 MULT COL 6 BY COL 5 MULTIPLY BY 1.0 ADD TO COL 12 AND STORE IN COL 12 MULT COL 7 BY COL 4 MULTIPLY BY 1.0 ADD TO COL 12 AND STORE IN COL 12 AVERAGE COL 11 AND STORE IN COL 11 AVERAGE COL 12 AND STORE IN COL 12 SPACE 2 NOTE ***************************************************************************

SPACE

NOTE THE FOLLOWING VALUES MUST BE EQUAL TO OR NEAR ZERO. SPACE ABRIDGE ROW 1 COLS 11 AND 12 SPACE NOTE ***************************************************************************

NATIONAL BUREAU OF STANDARDS. WASHINGTON, D. C. 20234 OMNITAB 80 VERSION 6.00 MARCH 2, 1981

242
ZEROS OF TEST 57 ZEROS OF BESSEL FUNCTIONS AND FUNCT OF ORDER N. (12.8) (12.9)

J ORDER AND 1 AND THEIR DERIVATIVES.

COL 8 COL 1 COL 2 COL 3 COL 4

N ZEROS J DERIV J ZEROS J ONE DERIV J ONE

0. 2.4048256 .51914749 3.8317060 -.40275940

1.0 5.5200781 -.34026480 7.0155866 .30011575 2.0 8.6537279 .27145230 10.173468 -.24970488

3.0 11.791534 -.23245983 13.323692 .21835941 4.0 14.930918 . 20654643 16.470630 -.19646537

5.0 18.071064 -.18772880 19.615858 .18006337 6.0 21.211637 .17326589 22 . 760084 -.16718460

7.0 24.352471 -.16170155 25.903672 .15672499

8.0 27.493479 .15218121 29.046829 -.14801111

9.0 30.634606 -.14416598 32.189680 . 14060580

10. 33.775820 .13729694 35.332307 -.13421124

11. 36.917098 -.13132463 38.474766 .12861662

12. 40.058425 .12606950 41.617094 -.12366796

13. 43.199791 -.12139862 44.759319 .11924981

14. 46.341188 .11721120 47.901461 -.11527369

15. 49.482610 -.11342919 51.043535 .11167050

16. 52.624052 .10999114 54.185554 -.10838535

17. 55.765511 -.10684789 57.327525 . 10537405

18. 58.906984 .10395957 60.469458 -.10260057

19. 62.048469 -.10129350 63.611356 .10003515

20. 65.189964 .098822554 66.753226 -.097653016

21. 68.331469 -.096524040 69.895071 .095433339

22. 71.472981 .094378794 73.036895 -.093358452

23. 74.614500 -.092370505 76.178699 .091413272

24. 77.756025 .090485194 79.320487 -.089584822

25. 80.897555 -.088710802 82.462259 .087861876

26. 84.039090 .087036863 85.604019 -.086234663

27. 87.180630 -.085454242 88.745767 .084694634

28. 90.322172 .083954928 91.887504 -.083234273

29. 93.463718 -.082531861 95.029231 .081846938

PAGE 1

***************************************************************************

SUM 1/(X**4) = .03125 FOR J ZERO (X) = 0. THE FOLLOWING VALUES MUST BE EQUAL TO OR NEAR .03125 AND 0.0 RESPECTIVELY.

.031249877 * 3.1044086-11 ***************************************************************************

243
OMNITAB 80 TEST 57 ZEROS OF BESSEL FUNCTIONS AND FUNCT OF ORDER N. RESULTS OF J N (X), I N (X), K N (X) FOR N=0 (1) 29. (12.8) (12.9) PAGE 2

N COL

0.

1. 2.

3.4.

8 -

J N (5) COL 1 .17759677 .32757914 .046565116

.36483123 .39123236

2

1

I N (2) COL 2 .2795853

.5906368 .68894845 .21273996 .050728570 4

17

14

K N (1) COL 3 .42102444

.60190722

.6248389

.1012628 .232416

5.6.

7.

8.9.

.26114054

.13104873 .053376410

.018405217

.0055202831

*

**

2

23

.0098256792 .0016001734

.2463914-04

.7699369-05 .0441859-06

*

*

*

*

*

3

3

4

6

1

.6096059+02

.6538383+03 .4207020+04

.2255212+05 .0005041+07

10.

11.

12.

13.

14.

*

*

*

*

37

12

.0014678026

. 5092745-04

.6278131-05

.5207582-05 .8012958-06

*

*

*

*

*

32

2

1

1

.0169639-07

.7222023-08 .2541310-09 .7245163-10

.2259834-11

*

*

**

*

137

15

.8071329+08 .6242708+09 .9914671+10

.9215764+12

.0040900+13

15. 16.

17.

18.

19.

*

*

*

*

*

4

7

1

12

.7967433-07

.6750156-08

.1526677-08 .6312443-09 .1828258-10

*

*

*

*

*

8

52

18

.1394325-13 .0685714-14

.9718290-15 .6462152-16

.6416033-18

*

*

*

*

*

14

14

1

.4030668+15 .2142045+16

.3499485+18 .5940391+19

.6552040^21

20.

21. 22.

23.

24.

**

*

*

*

2

3

34

4

.7703300-11 .3438200-12

.8478737-13 .2308846-14

.4540221-15

*

*

*

**

4

2

94

1

.3105606-19 .0482232-20

.2917755-22

.0326091-23 .6774623-24

*

*

*

**

6

2

14

2

.2943693+22 .5194029+24

.0587787+26

.6611455+27

.1451857+29

25.

26.

27. 28.

29.

*

*

**

*

4

4

4

33

.4976606-16

.3638521-17

.0745521-18

.6664192-19 .1837336-20

***

*

*

6

293

1

.6995569-26

.5730921-27 .5173970-29 .3948943-30

.1693106-31

*

**

*

*

15

2

18

.0301553+31 .1529215+32 .6805494+34

.4480119+36

.1115474+37

***************************************************************************

(SUM OF (J N (X))**2)*2.+(J ZERO (X))**2=l., FOR N=l THRU INFINITY. (IN THIS EXAMPLE N=0,...,29).

(SUM OF (I N (X))**2.) +1 ZERO (X)-EXP(X)=0. , FOR N=l THRU INFINITY. (IN THIS EXAMPLE N=0 29).

HANDBOOK OF MATHEMATICAL FUNCTIONS AMS 55 PAGES 363 AND 376. THE FOLLOWING VALUES MUST EQUAL OR BE NEAR 1.0, 0.0 AND 0.0 RESPECTIVELY.

1.0000000 0. * 5.5879354-09 ***************************************************************************

244
OMNITAB 80 TEST 57 ZEROS OF BESSEL FUNCTIONS AND FUNCT OF ORDER N. (12.8) (12.9) PAGE 3

LIST OF DATA, INSTRUCTIONS AND DIAGNOSTICS

TITLE1 ZEROS OF J ORDER AND 1 AND THEIR DERIVATIVES. RESET NRMAX TO 30

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM TO 30.

ZEROS BJZERO OF J ZERO FOR N FROM ZERO THRU TWENTY-NINE PUT IN COL 1 DERIV COL 2 ZEROS BJONE OF J ZERO FOR N FROM ZERO THRU TWENTY-NINE PUT IN COL 3 DERIV COL 4 SQUARE COL 1 AND STORE IN COL 6 SQUARE COL 6 AND STORE IN COL 6 DIV 1.0 BY COL 6 AND STORE IN COL 6 SUM COL 6 AND STORE IN COL 6 BJZERO OF FIRST KIND OF FIRST ORDER OF COL 3 AND STORE IN COL 7 SUBTRACT COL 7 FROM COL 4 AND STORE IN COL 7 AVERAGE COL 7 AND STORE IN COL 7 GENERATE FROM 0.0 IN STEPS OF 1.0 THRU 29 AND STORE IN COL 8 NEW PAGE NOTE COL 8 COL 1 COL 2 COL 3 COL 4 NOTE N ZEROS J DERIV J ZEROS J ONE DERIV J ONE NPRINT COL 8 WITH 2.0 SIG. DIGITS AND COLS 1 *** 4 WITH 8.0 SIG DIGITS

SPACE 2 i^ NOTE ***************************************************************************

SPACE

NOTE SUM 1/(X**4) = .03125 FOR J ZERO (X) = 0. NOTE THE FOLLOWING VALUES MUST BE EQUAL TO OR NEAR .03125 AND 0.0 RESPECTIVELY. SPACE ABRIDGE ROW 1 COLS 6 AND 7 SPACE

NOTE ***************************************************************************

TITLE1 RESULTS OF J N (X), I N (X), K N (X) FOR N=0 (1) 29. BESJN OF X= 5.0 AND STORE RESULTS IN COL 1 BESIN OF X= 2.0 AND STORE RESULTS IN COL 2 BESKN OF X= 1.0 AND STORE RESULTS IN COL 3 NEW PAGE

NOTE N J N (5) I N (2) K N (1) NOTE COL 8 COL 1 COL 2 COL 3 NPRINT COL 8 WITH 2.0 SIG. DIGITS COLS 1, 2 AND 3 WITH 8.0 SIGNIFICANT DIGITS

SQUARE COL 1 AND STORE IN COL 1 1/MULT COL 1 BY 2. AND STORE IN COL 10 2/SUM COL 10 AND STORE IN COL 10 3/SUBTRACT *1,1* FROM COL 10 AND STORE IN COL 10 4/INCREMENT INSTRUCTION 1 BY 1, 0. AND 1 5/INCREMENT INSTRUCTION 2 BY 1 AND 1 6/INCREMENT INSTRUCTION 3 BY *0,1*, 1 AND 1 EXECUTE INSTRUCTIONS 1 THRU 6, 2 TIMES

DIV 1.0 BY COL 3 AND STORE IN COL 12 AVERAGE COL 12 AND STORE IN COL 12 RESET NRMAX 1

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM 30 TO 1

.

245
OMNITAB 80 TEST 57 ZEROS OF BESSEL FUNCTIONS AND FUNCT OF ORDER N. (12.8) (12.9) PAGE

LIST OF DATA, INSTRUCTIONS AND DIAGNOSTICS

SUB .16061621 FROM COL 12 AND STORE IN COL 12 EXPONENTIAL OF 2. AND STORE IN COL 4 SUBTRACT COL 4 FROM COL 11 AND STORE IN COL 11 SPACE 2 NOTE ***************************************************************************

SPACE

N0TE1 (SUM OF (J N (X))**2)*2. -(J ZERO (X))**2=l., FOR N=l THRU

N0TE2 INFINITY. (IN THIS EXAMPLE N=0 29). PRINT NOTE

N0TE1 (SUM OF (I N (X))**2.) -I ZERO (X)-EXP(X)=0. . FOR N=l TH

N0TE2RU INFINITY. (IN THIS EXAMPLE N=0,...,29). PRINT NOTE NOTE

NOTE HANDBOOK OF MATHEMATICAL FUNCTIONS AMS 55 PAGES 363 .AND 376. NOTE THE FOLLOWING VALUES MUST EQUAL OR BE NEAR 1.0. 0.0 AND 0.0 RESPECTIVELY.

SPACE NPRINT COLS 10, 11 AND 12 SPACE NOTE ***************************************************************************

NATIONAL BUREAU OF STANDARDS. WASHINGTON, D. C. 20234 OMNITAB 80 VERSION 6.00 MARCH 2, 1981

246
OMNITAB 80 TEST 58 THERMODYNAMIC FUNCTIONS. (13.3) AND (13.4) PAGE 1 EINSTEIN FUNCTION

X -(F-E)/RT (H-E)-RT S/R C/R (H-E)/R COLUMN 11 COLUMN 13 COLUMN 14 COLUMN 15 COLUMN 16 COLUMN 17

1.0500000

1.1000000 1.1500000

1 . 2000000

1.2500000

.43068715

.40477197 .38072874

.35838241 .33757956

.56522992

.54885672 .53285320

.51721530

.50193889

.99591707

.95362869

.91358195 .87559772

.83951845

.91297628 .90498610

.89671371 .88817005 .87936628

.81324715 .78968956

.76666385 .74416420

.72218466

1 . 3000000

1.3500000

1.4000000

1.4500000

1 . 5000000

.31818498

. 30007894

.28315495 .26731788 .25248246

.48701967 .47245326

.45823514

. 44436074

.43082537

.80520465 .77253219

.74139009

.71167862

.68330783

.87031374

.86102398

.85150865 .84177954

.83184856

.70071903

.67976101 .65930413 .63934179

.61986723

***************************************************************************

MOLECULAR WEIGHTS OF

WATER PROPANAL TETRATOMIC PHOSP URANIUM OXIDE

18.015200 60.095600 123.89504 842.08219 ***************************************************************************

247
PAGE TRANSLATIONS. CONTRIBUTIONS OF WATER MPERATURE -(F-E)/RT (H-E)/RT S/R C/R (H-E)/R LUMN 4 COLUMN 5 COLUMN 6 COLUMN 7 COLUMN 8 COLUMN 9

100.00000 12.184799 2 . 5000000 14.684799 2 . 5000000 250.00000

200.00000 13.917667 2 . 5000000 16.417667 2 . 5000000 500.00000 300.00000 14.931330 2 . 5000000 17.431330 2 . 5000000 750.00000 400.00000 15.650535 2 . 5000000 18.150535 2 . 5000000 1000.0000 500.00000 16.208394 2 . 5000000 18.708394 2 . 5000000 1250.0000

600.00000 16.664198 2.5000000 19.164198 2 . 5000000 1500.0000 700.00000 17.049575 2 . 5000000 19.549575 2 . 5000000 1750.0000 800.00000 17.383403 2 . 5000000 19.883403 2 . 5000000 2000.0000 900.00000 17.677860 2 . 5000000 20.177860 2 . 5000000 2250.0000

1000.0000 17.941262 2 . 5000000 20.441262 2 . 5000000 2500.0000

1100.0000 18.179537 2 . 5000000 20.679537 2.5000000 2750.0000

1200.0000 18.397066 2 . 5000000 20.897066 2 . 5000000 3000.0000

1300.0000 18.597172 2.5000000 21.097172 2 . 5000000 3250.0000

1400.0000 18.782443 2 . 5000000 21.282443 2 . 5000000 3500.0000

1500.0000 18.954925 2 . 5000000 21.454925 2 . 5000000 3750.0000

***************************************************************************

THE FOLLOWING VALUES MUST BE EQUAL TO OR NEAR ZERO.

*-2. 3841858-08 *-4. 7683716-08 *-4. 7683716-08 *-9. 5367431-08 ***************************************************************************

248
OMNITAB 80 TEST 58 THERMODYNAMIC FUNCTIONS. PTATOMIC OF TEMPERATURE -(F-E)/RT (H-E)/RT COLUMN 41 COLUMN 42 COLUMN 43

(13.3) AND (13.4) ATOMIC OXYGEN

S/R C/R COLUMN 44 COLUMN 45

PAGE

(H-E)/R COLUMN 46

1000.0000

1500.0000 2000.0000 2500.0000

3000.0000

18.802985

19.816648 20.535853

21.093712 21.549516

2 . 5000000 2.5000000

2 . 5000000 2.5000000

2 . 5000000

21.302985 22.316648

23.035853 23.593712

24.049516

2 . 5000000 2.5000000

2 . 5000000

2 . 5000000

2 . 5000000

2500.0000

3750.0000

5000.0000 6250.0000

7500.0000

3500.0000 4000.0000

4500.0000

5000.0000

5500.0000

21.934893

22.268721 22.563179 22.826580

23.064856

2.5000000

2 . 5000000

2 . 5000000 2.5000000

2.5000000

24.434893

24.768721 25.063179 25.326580

25.564856

2 . 5000000

2 . 5000000

2 . 5000000

2 . 5000000

2 . 5000000

8750.0000

10000.000

11250.000

12500.000

13750.000

6000.0000 6500.0000

7000.0000 7500.0000

8000.0000

23.282384

23.482491 23.667761

23 . 840243 24.001589

2.5000000

2 . 5000000

2 . 5000000 2.5000000

2 . 5000000

25.782384

25.982491

26.167761 26.340243 26.501589

2 . 5000000

2 . 5000000

2 . 5000000

2 . 5000000

2 . 5000000

15000.000 16250.000

17500.000 18750.000 20000.000

***************************************************************************

THE FOLLOWING VALUES MUST BE EQUAL TO OR NEAR ZERO.

0. 0. 0. ***************************************************************************

249
OMNITAB 80 TEST 58 THERMODYNAMIC FUNCTIONS. PARTFUNCTION OF TEMPERATURE WAVE NO. G COLUMN 1 COLUMN 2 COLUMN 3

(13.3) AND (13.4) PAGE ATOMIC OXYGEN

Q(0) 0(1) 0(2) COLUMN 11 COLUMN 12 COLUMN 13

1000.0000 1500.0000 2000.0000

2500.0000

3000 . 0000

78.000000

15868.000 33792.000

9.0000000

5 . 0000000

1.0000000

8.0445831 8.3512200

8.5089474

8.6054622

8.6720195

.90280834

.62483248

.47808712 .39121396

.34316519

.10131854

.047030965 .033974776

.062425896

.15559990

3500.0000

4000 . 0000 4500.0000

5000 . 0000 5500.0000

8.7233441 8.7676088 8.8096472 8.8522937

8.8971039

.32740384

.34034358

.37795565

.43549771 .50806658

.32170693 .54851407 .81356907

1.0940631 1.3717714

6000.0000

6500.0000

7000 . 0000 7500.0000

8000 . 0000

8.9448112

8.9956322 9.0494714

9.1060584

9.1650347

.59111446

.68073445 .77374944

.86768169 .96066564

1.6342110

1.8739578 2.0873997

2.2735298

2.4329863

250
OMNITAB 80 TEST 58 THERMODYNAMIC FUNCTIONS. (13.3) AND (13.4) PAGE 5 BOLDISTRIBUTION POPULATION OF STATES TEMPERATURE WAVE NO. G ************** RESULTS *****************

COLUMN 1 COLUMN 2 COLUMN 3 COLUMN 21 COLUMN 22 COLUMN 23

1000.0000

1500.0000 2000.0000

2500.0000

3000.0000

78 . 000000

15868.000 33792.000

9 . 0000000

5 . 0000000

1 . 0000000

1 . 0000000

.99999985 .99999352

.99993718

.99971438

7.5545895-11

1.4690943-07 6.4783792-06

6.2819367-05 2.8560418-04

9.5340204-23

1.0033131-15 3.2547225-12 4.1604245-10

1.0555358-08

3500.0000 4000.0000

4500.0000

5000.0000

5500.0000

.99915781 .99810586

. 99644448

.99412020

.99113363

8.4208675-04

.0018935420

.0035532139

.0058730415

.0088500881

1.0626662-07 6.0022453-07 2.3055274-06

6.7592749-06

1.6278724-05

6000.0000

6500.0000

7000.0000

7500.0000

8000.0000

.98752515

.98335995 .97871576

.97367394

.96831357

.012441027

.016577322

.021177842

.026158058 .031436120

3.3824035-05 6.2729650-05

1.0639390-04

1 . 6799906-04

2.5030143-04

***************************************************************************

THE FOLLOWING VALUE SHOULD BE EQUAL TO OR NEAR ZERO.

0. ***************************************************************************

251
OMNITAB 80 TEST 58 THERMODYNAMIC FUNCTIONS. (13.3) AND (13.4) PAGE 6

LIST OF DATA, INSTRUCTIONS AND DIAGNOSTICS

GENERATE FROM 1.05 IN STEPS OF .05 THRU 1.5 AND PUT IN COL 1

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM TO 10.

ADD 0. TO 1.43879 AND PUT IN COL 2 EINSTEIN OF TEMPS IN COL 2, WAVE NOS. IN COL 1 AND PUT TABLE STARTING IN COL 11 TITLE1 EINSTEIN FUNCTION

TITLE3 X -(F-E)/RT (H-E)-RT S/R TITLE4 C/R (H-E)/R PRINT COLS 11, 13***17 ERASE ENTIRE WORKSHEET

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM 10 TO 0.

RESET NRMAX TO 10

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM TO 10.

SPACE 2 NOTE ***************************************************************************

SPACE NOTE MOLECULAR WEIGHTS OF NOTE WATER PROPANAL TETRATOMIC PHOSP URANIUM OXIDE

MOLWT OF WATER H=l ATOMIC NO. , 2 PARTS, 0=8 ATOMIC NO. , 1 PART AND PUT IN COL 1 MOLWT PROPANOL C=6 ATOMIC NO., 3 PARTS, H=l, 8, 0=8, 1, PUT IN COL 2 MOLWT TETRATOMIC PHOSP PH=15 ATOMIC NO. , 4 PARTS, PUT IN COL 3 MOLWT URANIUM OXIDE U=92 ATOMIC NO., 3 PARTS, 0=8, 8 PARTS, PUT IN COL 4 SPACE ABRIDGE ROW 1 COLS 1***4 SPACE

NOTE ***************************************************************************

RESET NRMAX TO

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM 10 TO 0.

GENERATE FROM 100. IN STEPS OF 100. THRU 1500. AND PUT IN COL 61

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM TO 15.

ADD 1.98717 TO 0. AND PUT IN COL 28 PFTRANSLATIONAL OF TEMP IN COL 61, MOL WT.=TO VALUE IN *1,1*, PUT IN COL 4 TITLE1 TRANSLATIONAL CONTRIBUTIONS OF

TITLE2 WATER

TITLE3 TEMPERATURE -(F-E)/RT (H-E)/RT S/R TITLE4 C/R (H-E)/R

252
OMNITAB 80 TEST 58 THERMODYNAMIC FUNCTIONS. (13.3) AND (13.4) PAGE 7

LIST OF DATA, INSTRUCTIONS AND DIAGNOSTICS

PRINT COLS 4***9 MULTIPLY COL 5 BY COL 28 AND PUT IN COL 10 MULTIPLY COL 7 BY COL 28 AND PUT IN COL 11 MULTIPLY COL 8 BY COL 28 AND PUT IN COL 12 LOG OF COL 61 AND PUT IN 21 LOGE OF VALUE IN *1,1* AND STORE IN COL 22 ADD COL 2.5 TO 0. AND PUT IN COL 23 MULTIPLY COL 23 BY COL 21 AND PUT IN COL 24 MULTIPLY 1.5 BY COL 22 AND PUT IN COL 25 ADD 0. TO -3.66495 AND PUT IN COL 26 ROWSUM 24***26 AND PUT IN COL 31 ADD COL 23 TO COL 31 AND PUT IN COL 32 MULTIPLY COL 31 BY COL 28 AND PUT IN COL 33 MULTIPLY COL 32 BY COL 28 AND PUT IN COL 34 SUBTRACT COL 5 FROM COL 31 AND PUT IN COL 31 SUB COL 7 FROM COL 32 AND PUT IN COL 32 SUB COL 10 FROM COL 33 AND PUT IN COL 33 SUB COL 11 FROM COL 34 AND PUT IN COL 34

1/ AVERAGE COL 31 AND STORE IN COL 31 2/ INCREMENT INSTRUCTION 1 BY 1 AND 1 EXECUTE INSTRUCTIONS 1 THRU 2, 4 TIMES

SPACE 2 NOTE ***************************************************************************

SPACE

NOTE THE FOLLOWING VALUES MUST BE EQUAL TO OR NEAR ZERO. SPACE ABRIDGE ROW 1 COLS 31***34

SPACE NOTE ***************************************************************************

ERASE ENTIRE WORKSHEET

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM 15 TO 0.

TITLE1 PTATOMIC OF ATOMIC TITLE20XYGEN

GENERATE FROM 1000. IN STEPS OF 500. THRU 8000. AND PUT IN COL 1

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM TO 15.

SET INTO COL 2 THE FOLLOWING DATA

78. 15868. 33792.

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM 15 TO 3.

SET INTO COL 3 THE FOLLOWING DATA

9. 5. 1. RESET NRMAX TO 15

253
OMNI TAB SO TEST 58 THERMODYNAMIC FUNCTIONS. (13.3) .AND (13.4) PAGE 8

LIST OF DATA. INSTRUCTIONS .AND DIAGNOSTICS

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - HRMAX HAS BEEN RESET FROM 3 TO 15.

PFATOMIC TEMP IN COL 1 MOL VT=31.9988 WAVE NO. IN COL 2 DEGENS IN 3 PLT IN 41 PFTRANSLATIONAL OF TEMP IN COL 1. MOL VI. =31. 9988, PLT IN COL 31 .AND BEYOND

1 'SUBTRACT COL 41 FROM COL 31 .AND STORE IN COL 31 2/AVERAGE COL 31 AND STORE IN COL 31 3/INCREMENT INSTRUCTION 1 BY 1 . 1 AND 1 4 'INCREMENT INSTRUCTION 2 BY 1 .AND 1 REPEAT INSTRUCTIONS 1 THRU 4. 6 TIMES

PRINT COLS 41***46

SPACE 2

\." " ***************************************************************************

SPACE NOTE THE FOLLOWING VALUES MUST BE EQUAL TO OR NEAR ZERO. SPACE ABRIDGE ROW 1 COLS 31***36

SPACE

\

- _ - ****************** *'***************************••**•************************ PARTFUNCTION TEMP IN COL 1 WAVE NO. IN COL 2 DEGENS IN COL 3 PUT IN COL 11 TITLE 1 PARTFUNCTION OF ATOMIC OX TITLE2YGEN

TITLE3 TEMPERATURE WAVE NO. G Q(O) TITLE4 Q(l) Q(2) PRINT COLS 1. 2. 3. 11. 12 .AND 13 BOLD I STR I BUT I ON TEMP IN COL 1 WAVE NO. IN COL 2 DEGENS IN COL 3 PLT IN COL 21 ROWSUM COLS 21***23 INTO COL 24 SUBTRACT COL 24 FROM 1.0 STORE IN COL 24 TITLE 1 BOLDISTRIBLTION POPULATION OF TITLE2 STATES

TITLE3 TEMPERATURE WAVE NO. G ***********

TITLE4*** RESL1TS *****************

PRINT COLS 1. 2. 3. 21. 22 .AND 23 SPACE 2 NOTE ***************************************************************************

SPACE NOTE THE FOLLOWING VALUE SHOULD BE EQUAL TO OR NEAR ZERO. SPACE ABRIDGE ROW 1 COL 24 SPACE NOTE ***************************************************************************

NATIONAL BUREAU OF STANDARDS. WASHINGTON. D. C. 20234

OMNI TAB 80 VERSION 6.00 MARCH 2. 1981

254
OMNITAB 80 TEST 59 VOCABULARY AND FOREIGN LANGUAGE INSTR. (1.7) PAGE 1

LIST OF COMMANDS. ONLY THE FIRST SIX LETTERS ARE PRINTED.

ENGL IS ENGL IS ENGLIS ENGL IS

AADD AAVERA ABRIDG ABRIDG A

ABS ABSOLU ACCURA ACOALE

ACOS ACOSD ACOSH ACOT ACOTD ACOTH ADD ADEFIN ADIV ADIVID AERASE ALABEL AMOVE AMULT AMULTI ANTILO

APR I NT APR I NT A APROPE ARAISE

ASIN ASIND ASINH ASUB ASUBTR ATAN ATAND ATANH ATOMIC ATRANS AVERAG AVERAG

AZERO BACKSP TAPE A BACKSP UNIT A BEGIN

BERNOU BESIN BESJN BESKN

BESTCP BETA BINOMI BIONE

B I ZERO BJONE BJ ZERO BKONE

BKZERO BOLD IS BRIEF BYONE

BYZERO CADD CALCOM AXIS CALCOM FAST

CALCOM PAPER CALCOM PLOT CALCOM SIZE CALCOM SLOW CALCOM SPEED CALCOM TAPE CAUCHY CDIVID

CEIONE CEIZER CEKONE CEKZER

CENSOR CENSOR EQ CENSOR GE CENSOR GT CENSOR LE CENSOR LT CENSOR NE CERF

CGS CHANGE CHISQU CHOOSE

CI ONE CI ZERO CKONE CKZERO

CLOSE UP CMULTI CODE COMPAR

CONTEN CONTIN CORREL COS COSD COSH COS I NT COT

COTD COTH COUNT CPERCE

CPLOT CPOLAR CPROPO CREAD TAPE A CREAD TAPE Q CREAD UNIT A CREAD UNIT Q CRECTA CRT CSET TAPE A CSET UNIT A CSUBTR

CTOF CUMULA DANSK DAYS DEFINE DELETE DEMOTE DENSIT

DESCRI DEUTSC DEXPON DIFFER

DIM DIMENS DISCRE DIV DIVDIF DIVIDE DUPLIC EEXPIN

EINSTE EINTEG ELLIPT FIRST ELLIPT SECOND

ENDFIL TAPE A ENDFIL UNIT A ENGLIS ERASE

ERROR ESPANO EVALUA EXCHAN

EXECUT EX I ONE EXIZER EXKONE

EXKZER EXP EXPAND EXP I NT EXPONE EXTREM F F PROBAB

FINISH FIT FIXED FLEX IB FLIP FLOAT

I

FORMAT A FOURPL

FRACTI FRANCA FREQUE FREQUE

FTOC FULL GAMMA GAMMA

GAUSS QUADRA GENERA GEOMET HALFNO

HARMON HCOSIN HEAD HERMIT

HIERAR HISTOG HSININ HYPERG

IFEQ IFGE IFGT IFLE

IFLT IFNE INCREM INSERT

255
OMNITAB 80 TEST 59 VOCABULARY AND FOREIGN LANGUAGE INSTR. (1.7) PAGE

LIST OF COMMANDS. ONLY THE FIRST SIX LETTERS ARE PRINTED.

ENGL IS ENGL IS ENGL IS ENGL IS

INTEGE INTERA INTERP INTJO INVERT I SETUP ISOLAT ITALIA

ITERAT JAPANE KBIONE KBIZER

KBKONE KBKZER KEXION KEXIZE

KEXKON KEXKZE LABEL LAGUER

LAMBDA LARFIT LEGEND LENGTH

LIST LOCAL LOG LOGE

LOG I ST LOGNOR LOGTEN M AD

M AV M DA M V M X

M X M XAX M XX MADD MATCH MAX MAXIMU MAXIMU

MAXMIN MDEFIN MDIAGO MEDIAN

MEDIAN ME I GEN MERASE M I DENT

MIN MINIMU MINIMU MINVER MKRONE MLABEL MMATVE MMOVE MMULT MMULT

I

MOLWT MORTHO

MOVE MPRINT MPRINT A MPROPE

MRAISE MSCALA MSUB MSUBTR

MTRANS MTRIAN MULT MULTIN

MULTIP MVECDI MVECMA MZERO

NCCHIS NCF NCPLOT NCT NEDERL NEGBIN NEGEIN NEGEXP

NEW PAGE NHISTO NICE CPLOT NICE NCi NICE NPLOT NICE PLOT NO LIST NORMAL

NORMLA NORSK NOTE N0TE1 N0TE2 NPLOT NPRINT NPRINT A NTABLE NULL OMIT OMNITA

ONEWAY ORDER PAGE PLOT PARETO

PARPRO PARSUM PARTFU PASCAL

PERCEN PERCEN PERCEN PERFOR

PFATOM PFTRAN PLOT PLOT POISSO POLYFI PORTUG PRINT

PRINT A PRINT NOTE PRODUC PROMOT

PROPOR PROPOR PUNCH PUNCH A RAISE RANDOM RANGE RANGE

RANKS READ READ A READ TAi READ TAPE Q READ UNIT A READ UNIT Q RECIPR

RECODE REMOTE REPEAT REPLAC

RESET RESET V RESTOR RETAIN

REWIND TAPE A REWIND UNIT A RMS ROUND

ROW SUM ROWSUM RPERCE RPROPO

SAMPLE W I THOU SAMPLE WITHR SAPROP SCAN

SCORRE SDIFFE SDIVDI SEARCH

SELECT SEPARA SET SET TAI SET UNIT A SFIT SHORTE SI SIN SIND SINH SININT

SKIP TAPE A SKIP UNIT A SLOVEN SMPROP SOLVE SONEWA SORT SPACE SPLIT PLOT SPOLYF SQRT SQUARE

SRANGE SSTATI SSTEM LEAF STAT IS

256
OMNITAB 80 TEST 59 VOCABULARY AND FOREIGN LANGUAGE INSTR. (1.7) PAGE 3

LIST OF COMMANDS. ONLY THE FIRST SIX LETTERS ARE PRINTED.

ENGL IS ENGL IS ENGLIS ENGL IS

STATPL STDDEV STDDEV STEM STOP STRUVE ONE STRUVE ZERO STWOWA

SUB SUBTRA SUM SUM SVENSK T TABLE TAN TAND TANH TAPE TCHEBY

TERM IN TITLE1 TITLE2 TITLE3 TITLE4 TITLEX TITLEY TWOPLO

TWOWAY UCHEBY UN I FOR UNIT

VOCABU WEIBUL WIDTH WRITE

WRITE TAPE Q WRITE UNIT A WRITE UNIT Q YUGOSL

ZEROS BJONE ZEROS BJZERO COLUMN 442 ENGLIS COMMANDS

LEAF

TAPE A

ASTERISK INDICATES NO TRANSLATION OR COMMANDS ARE THE SAME. DISTRIBUTION AND PROPERTY NAMES ARE PRINTED, BUT

NOT ALL COMBINATIONS ARE NECESSARILY VALID. EACH COMMAND OF TABLE MAKING TWO-WORD COMMANDS IS PRINTED SEPARATELY.

A AFTER A COMMAND STANDS FOR A FORMAT OR UNIT QUALIFIER.

V AFTER A RESET COMMAND STANDS FOR A VARIABLE QUALIFIER.

Q AFTER A UNIT COMMAND STANDS FOR BOTH A UNIT AND A FORMAT QUALIFIER.

257
OMNITAB 80 TEST 59 VOCABULARY AND FOREIGN LANGUAGE INSTR. (1.7) PAGE

LIST OF COMMANDS. ONLY THE FIRST SIX LETTERS ARE PRINTED.

ENGL IS ESPANO ENGL IS ESPANO

AADD AADICI AAVERA AVIEDIA ABRIDG ABREVI ABRIDG A ABREVI A *ABS ABS *ABSOLU ABSOLU

ACCURA EXACT

ACOALE ADELCO

*ACOS ACOS ACOSD ACOSG

*ACOSH ACOSH ACOT ACOT ACOTD ACOTG *ACOTH ACOTH

ADD ADICIO ADEFIN ADEFIN

*ADIV AD IV *ADIVID ADIVID

AERASE ABORRA ALABEL ALABEL AMOVE AMOVER *AMULT AMULT

*AMULTI AMULTI ANTILO ANTILO

APR I NT AIMPRI APR I NT A AIMPRI A APROPE APROPI ARAISE APOTEN

AS IN ASEN ASIND ASENG

ASINH ASENH ASUB ASUSTR

ASUBTR ASUSTR ATAN ATANG

ATAND ATANGG ATANH ATANGH

ATOMIC PESOAT ATRANS ATRANS

AVERAG PROMED *AVERAG AVERAG

AZERO ACERO *BACKSP TAPE A BACKSP TAPE A BACKSP UNIT A BACKSP UN I DAE BEGIN EMPEZA BERNOU BERNOU BESIN BESIN

*BESJN BESJN *BESKN BESKN

*BESTCP BESTCP *BETA BETA

*BINOMI BINOMI *BIONE BIONE

*BIZERO BIZERO *BJONE BJONE

*BJZERO BJZERO BKONE BKONE BKZERO BKZERO BOLD IS BOLTZM BRIEF BRIEF *BYONE BYONE

*BYZERO BYZERO CADD CADICI *CALCOM AXIS CALCOM AXIS CALCOM FAST CALCOM FAST

*CALCOM PAPER CALCOM PAPER CALCOM PLOT CALCOM PLOT

*CALCOM SIZE CALCOM SIZE CALCOM SLOW CALCOM SLOW *CALCOM SPEED CALCOM SPEED CALCOM TAPE CALCOM TAPE

*CAUCHY CAUCHY CDIVID CDIVID

*CEIONE CEIONE CEIZER CEIZER

*CEKONE CEKONE CEKZER CEKZER

CENSOR CENSUR CENSOR EQ CENSUR IG CENSOR GE CENSUR MAI CENSOR GT CENSUR MA CENSOR LE CENSUR ME I CENSOR LT CENSUR ME CENSOR NE CENSUR NOI CERF CERF

*CGS CGS CHANGE CA.MBIA

* CHI SQL' CHI SOU CHOOSE CHOOSE

*CIONE CI ONE CIZERO CIZERO

*CKONE CKONE CKZERO CKZERO

CLOSE UP COMPAC CML'LTI CMULTI CODE CODE COMPAR COMPAR

*CONTEN CONTEN CONTIN CONTIN

*CORREL CORREL COS COS

258
OMNITAB 80 TEST 59 VOCABULARY AND FOREIGN LANGUAGE INSTR. (1.7) PAGE

LIST OF COMMANDS. ONLY THE FIRST SIX LETTERS ARE PRINTED.

ENGL IS ESPANO ENGL IS ESPANO

COSD COSG COSH COSH *COSINT COS I NT COT COT

COTD COTG COTH COTH COUNT CUENTA CPERCE CPERCE

*CPLOT CPLOT CPOLAR CPOLAR CPROPO CPROPO CREAD TAPE A CREAD TAPE A *CREAD TAPE Q CREAD TAPE Q CREAD UNIT A CREAD UN I DAE CREAD UNIT Q CREAD UNIDAU CRECTA CCARTE

*CRT CRT CSET TAPE A CSET TAPE A CSET UNIT A CSET UNI DAE CSUBTR CSUSTR

CTOF CENTAF CUMULA CUMULA

*DANSK DANSK DAYS DAYS DEFINE DEFINE DELETE DELETE

DEMOTE TRASLA DENSIT DENSIT

*DESCRI DESCRI DEUTSC DEUTSC DEXPON DEXPON DIFFER DIFFER

*DIM DIM DIMENS DIMENS

*DISCRE DISCRE DIV DIV *DIVDIF DIVDIF DIVIDE DIVIDE

*DUPLIC DUPLIC EEXPIN EEXPIN

*EINSTE EINSTE EINTEG EINTEG

ELLIPT FIRST ELIPTI PRIMER ELLIPT SECOND ELIPTI SEGUND

*ENDFIL TAPE A ENDFIL TAPE A ENDFIL UNIT A ENDFIL UN I DAE *ENGLIS ENGL IS ERASE BORRA ERROR ERF ESPANO ESPANO

*EVALUA EVALUA EXCHAN INTERC EXECUT REAL I

Z

EXIONE EXIONE

*EXIZER EXIZER EXKONE EXKONE

*EXKZER EXKZER EXP EXP EXPAND EXPAND EXPINT EXPINT

*EXPONE EXPONE EXTREM EXTREM

F FSNEDE F PROBAB PROB FSNEDE

FINISH TERM IN FIT ADJUST

FIXED FIJA FLEXIB FLEXIB

FLIP VOLTEA FLOATI FLOTAN FORMAT A FORMAT A FOURPL FOURPL

FRACTI PARTEF FRANCA FRANCA

FREQUE FRECUE FREQUE FREQUE

FTOC FAHRAC FULL FULL GAMMA GAMMA GAMMA GAMMA

GAUSS QUADRA INTEGR GAUSS

I

GENERA GENERA GEOMET GEOMET HALFNO HALFNO HARMON HARMON HCOSIN HCOSIN

HEAD ENCABE HERMIT POLHER HIERAR JERARQ HISTOG HISTOG HSININ HSININ HYPERG HYPERG

IFEQ SIIG IFGE IFGE IFGT IFGT IFLE SIMENI

IFLT SIMEIG IFNE SINOIG INCREM INCREM INSERT INSERT

259
OMNITAB 80 TEST 59 VOCABULARY AND FOREIGN LANGUAGE INSTR. (1.7) PAGE

LIST OF COMMANDS. ONLY THE FIRST SIX LETTERS ARE PRINTED.

ENGL IS ESPANO ENGL IS ESPANO

INTEGE PARTEE •INTERA INTERA •INTERP INTERP •INTJO INTJO INVERT INYIER I SETUP INTCIA

ISOLAT A I SLA •ITALIA ITALIA

ITERAT ITERA •J.AP.ANE J.AP.ANE

* KB I ONE KB I ONE •KBIZER KBIZER

*KBKONE KBKONE •KBKZER KBKZER

•KEXION KEXION •KEXIZE KEXIZE

•KEXKON KEXKON •KEXKZE KEXKZE

•LABEL LABEL LAGUER POLLAG LAMBDA LAMBDA •LARFIT LARFIT

LEGEND POLLE •LENGTH LENGTH

LIST LISTA •LOCAL LOCAL

*LOG LOG LOGE LOGNAT

*LOGIST LOG I ST •LOGNOR LOGNOR

LOGTEN LOGDEC *M AD M AD

*M AV M AV *M DA M DA

*M \' M V *M X M X

*M X M X *M XAX M XAX

*M XX M XX M.ADD M.ADICI MATCH EXTRAE •MAX MAX

M.AXIMU M.AXIMO •MAXIMU M.AXIMU •MAXMIN MAXMIN •MDEFIN MDEFIN

•MDIAGO MDIAGO •MEDIAN MEDIAN

•MEDIAN MEDIAN •MEIGEN MEIGEN

MERASE MBORRA •MI DENT MI DENT

•MIN MIN MINIMU MINIMO

•MINIMU MINIMU M INTER MINTIE •MKRONE MKRONE •MLABEL MLABEL MMATYE MVECAM MMOVE MMOYER

•MMULT MMULT •MML1TI MMU1TI MOLWT PESOMO MORTHO MORTON

MOVE MOVER MPRINT MIMPRI MPRINT A MIMPRI A MPROPE MPROPI MRAISE MPOTEN MSCALA MPRODE

MSUB MSUSTR MSUBTR MSUSTR

•MTRANS MTRANS •MTRIAN MTR IAN- •MULT MULT •MULTIN MULT IN •MULT IP MULT IP MVECDI MEXTRA

MYECMA MMATAV MZERO MCERO

•NCCHIS NCCHIS •NCF NCF

•NCPLOT NCPLOT •NCT NCT

•NEDERL NEDERL •NEGBIN NEGBIN

•NEGEIN NEGEIN •NEGEXP NEGEXP

NEW PAGE NTEVA PAGINA •NHISTO NHISTO

•NICE CPLOT NICE CPLOT •NICE NCPLOT NICE NCPLOT

•NICE NPLOT NICE NPLOT •NICE PLOT NICE PLOT

NO LIST NO LI STAR •NORMAL NORMAL

NORMLA NORMPO •NORSK NORSK

NOTE NOTA N0TE1 N0TA1

260
OMNITAB 80 TEST 59 VOCABULARY AND FOREIGN LANGUAGE INSTR. (1.7) PAGE

LIST OF COMMANDS. ONLY THE FIRST SIX LETTERS ARE PRINTED.

ENGL IS ESPANO ENGL IS ESPANO

N0TE2 N0TA2 *NPLOT NPLOT NPRINT NIMPRI NPRINT A NIMPRI A NTABLE NTABLE NULL NULO OMIT OMIT OMNITA OMNITA

ONEWAY ANAVSI ORDER ORDENA

PAGE PLOT GRAF I

C

RED PARETO RAYLEI PARPRO PRODPA PARSUM SUMAPA

PARTFU FUNCPA PASCAL PASCAL

PERCEN PERCEN PERCEN PERCEN

PERCEN PERCEN PERFOR REAL I

Z

PFATOM PFATOM PFTRAN PFTRAN

PLOT GRAF I

C

PLOT GRAF I

C

TOISSO POISSO POLYFI AJUSPO

PORTUG PORTUG PRINT IMPRIM PRINT A IMPRIM A PRINT NOTE IMPREM NOTA

'PRODUC PRODUC PROMOT TRASAR

'PROPOR PROPOR PROPOR PROPOR

PUNCH PERFOR PUNCH A PERFOR A RAISE POTENC RANDOM ALEATO

'RANGE RANGE RANGE RANGE

RANKS RANGOS READ LEE

READ A LEE A READ TAPE A READ TAPE A

'READ TAPE Q READ TAPE Q READ UNIT A READ UN I DAE READ UNIT Q READ UNIDAU RECIPR RECIPR

'RECODE RECODE REMOTE REMOTE

REPEAT REAL I

Z

REPLAC REPLAC

RESET RED I ME RESET V RED I ME V RESTOR RESTAU RETAIN RETAIN

'REWIND TAPE A REWIND TAPE A REWIND UNIT A REWIND UN I DAE

RMS RCM ROUND REDOND

ROW SUM SUMA FILA ROWSUM SUMAFI

'RPERCE RPERCE RPROPO RPROPO

'SAMPLE WTTHOU W I THOU SAMPLE WTTHR WITHR

'SAPROP SAPROP SCAN EXPLOR

'SCORRE SCORRE SDIFFE SDIFFE

'SDIVDI SDIVDI SEARCH BUSCA SELECT SELECC SEPARA SEPARA

SET COLOCA SET TAPE A SET TAPE A SET UNIT A SET UN I DAE SFIT SADJUS

SHORTE ACORTA SI SI SIN SEN SIND SENG

SINH SENH SININT SININT SKIP TAPE A SKIP TAPE A SKIP UNIT A SKIP UN I DAE SLOVEN SLOVEN SMPROP SMPROP

SOLVE RESUEL SONEWA SANAVS

SORT CLASIF SPACE ESPACI SPLIT PLOT SPLIT PLOT SPOLYF SAJUSP

SQRT RAIZCU SQUARE CUADRA

'SRANGE SRANGE SSTATI SANEST

SSTEM LEAF STALLO HOJA STATIS ANESTA

261
OMNITAB 80 TEST 59 VOCABULARY AND FOREIGN LANGUAGE INSTR. (1.7) PAGE 8

LIST OF COMMANDS. ONLY THE FIRST SIX LETTERS ARE PRINTED.

ENGL IS ESPANO

*STATPL STATPL *STDDEV STDDEV

*STOP STOP

STRUYE ZERO STRUVE CERO

SUB SUSTRA

SO! SUMA *SVENSK SVENSK

*TABLE TABLE

TAND TANGG TAPE TAPE *TERMIN TERMIN

TITLE2 TITUL2 TITLE4 TITUL4 TITLEY TITULY

TWOWAY ANAVDO

•UNIFOR UNIFOR

*VOCABU VOCABU

WIDTH LINE WRITE TAPE Q WRITE TAPE Q WRITE UNIT Q WRITE UMDAU

ZEROS BJONE CEROS BJUNO COLUMN

ENGL IS

'STDDEV STEM LEAF STRUVE ONE STWOWA

SUBTRA

•SUM

*TTAN

TANH

TCHEBY

TITLE1 TITLE3 TITLEX

•TW'OPLO UCHEBY

UNIT

•WEIBUL

'WRITE WRITE

•YUGOSL ZEROS

HOJ A

ESPANO

STDDEV TALLO STRUYE UNO

SAOVDO SUSTRA

SUM

TTANG

TANGH

VCHEBI

TITU'Ll TITUL3 TITULX

TWOPLO

UCHEBI

UN I DAD WEIBUL

TAPE A WRITE

UNIT A WRITE YUGOSL

TAPE A UNIDAE

BJZERO CEROS BJCERO

442 ENGL IS AND 442 ESPANO COMMANDS

ASTERISK INDICATES NO TRANSLATION OR COMMANDS ARE THE SAME. DISTRIBUTION AND PROPERTY' NAMES ARE PRINTED, BUT NOT ALL COMBINATIONS ARE NECESSARILY VALID. EACH COMMAND OF TABLE MAKING TWO-WORD COMMANDS IS PRINTED SEPARATELY.

A AFTER A COMMAND STANDS FOR A FORMAT OR UNIT QUALIFIER.

V AFTER A RESET COMMAND STANDS FOR A VARIABLE QUALIFIER.

Q AFTER A UNIT COMMAND STANDS FOR BOTH A UNIT AND A FORMAT QUALIFIER.

262
OMNITAB 80 TEST 59 VOCABULARY AND FOREIGN LANGUAGE I NSTR. (1.7) PAGE 9

LIST OF DATA, INSTRUCTIONS AND DIAGNOSTICS

WIDTH 80 VOCABULARY

ESPANOL VOCABULARY

NATIONAL BUREAU OF STANDARDS. WASHINGTON, D. C. 20234 OMNITAB 80 VERSION 6.00 MARCH 2, 1981

263
OMMTAB 80 TEST Fl COUNT. DUPLICATE AND CLOSE UP INSTR. (5.1), (5.2) AND (5.3) PAGE 1 RESULTS FROM DUPLICATING 2 TIMES THE VALUES IN A 5X3 .ARRAY BEGINNING IN ROW 2 COL 3 . RESULTS ARE STORED BEGINNING IN ROW 2 COL 6. COLS 3-5 WERE DEFINED BY GENERATE. SET AND ADD COMMANDS. COLS 6-8 WERE DEFINED BY DUPLICATE COMMAND. COLUMN 3 COLUMN 4 COLUMN 5 COLUMN 6 COLUMN 7 COLUMN 8

1.2345679 2.2345679

3.2345679 4.2345679

5.2345679

20 . 000000

14.000000 -24.000000

4 . OOOOOOO

5 . OOOOOOO

30.000000 24.000000

-14.000000

14.000000

15.000000

2

34

5

2345679 2345679

2345679 2345679

0. 14.000000

-24 . 000000

4 . OOOOOOO

5 . OOOOOOO

0. 24.000000 -14.000000

14.000000

15.000000

6.2345679 7.2345679

8.2345679 9.2345679

10.234568

14.000000

12.000000

0.

0.

0.

24 . 000000

22 . 000000

10.000000 10.000000

10.000000

6

2

34

5

2345679 2345679

2345679 2345679

2345679

14.000000 14.000000 -24.000000

4 . OOOOOOO

5 . OOOOOOO

24.000000

24.000000 -14.000000

14.000000

15.000000

11.234568 12.234568

13.234568

14.234568

1 5 . 000000

30.000000

5 . OOOOOOO

7 . OOOOOOO

8 . OOOOOOO -25.000000

40 . 000000

15.000000

17.000000

18.000000 -15.000000

6 2345679 14.000000 24 . 000000

***************************************************************************

THE FOLLOWING VALUE SH0L1D BE CLOSE TO OR EQUAL TO ZERO.

***************************************************************************

264
OMNITAB 80 TEST Fl COUNT, DUPLICATE AND CLOSE UP INSTR. (5.1), (5.2) AND (5.3) PAGE 2 RESULTS FROM COUNT COMMAND. COL 9 CONTAINS NO. OF VALUES IN COL 4. COL 10 CONTAINS THE NO. OF VALUES IN COL 6. THE COUNT BEGINS AT THE FIRST NON-ZERO VALUE STARTING AT NRMAX AND GOING TO ROW ONE. COLUMN 4 COLUMN 6 COLUMN 9 COLUMN 10

20.000000

14.000000

-24.000000 4.0000000

5 . 0000000

0.2.2345679

3.2345679 4.2345679

5.2345679

15.000000

15.000000

15.000000

15.000000

15.000000

11.000000 11.000000

11.000000

1 1 . 000000

1 1 . 000000

14.000000

12.000000

0.0.

0.

6.2345679 2.2345679

3.2345679 4.2345679

5.2345679

15.000000

15.000000

15.000000

15.000000

15.000000

11.000000

11.000000

1 1 . 000000

1 1 . 000000

1 1 . 000000

30.000000

5.0000000 7.0000000

8 . 0000000

-25 . 000000

6.2345679 15.000000

15.000000

15.000000

15.000000

15.000000

1 1 . 000000

1 1 . 000000

1 1 . 000000

1 1 . 000000

1 1 . 000000

THE FOLLOWING TWO NUMBERS SHOULD BE 15. AND 11.

15.000000 11.000000 it************************************************************************

265
OMNITAB 80 TEST Fl COUNT, DUPLICATE AND CLOSE UP INSTR. (5.1), (5.2) AND (5.3) PAGE 3 RESULTS FROM COUNT COMMAND. COL 9 CONTAINS NO. OF VALUES IN COL 4. COL 10 CONTAINS THE NO. THE COUNT BEGINS AT THE FIRST NON-ZERO VALUE STARTING AT NRMAX AND GOING TO ROW ONE. RESULTS FROM CLOSE UP COMMAND. THE VALUE 14.0 IS REMOVED FROM COL 4. THE VALUE 30.0 IS REMOVED FROM COLUMNS 4 AND 5, AND 15. FROM COLUMN 9.

OF VALUES IN COL 6.

OLD COL 4 NEW COL 4 OLD COL 5 NEW COL 5 OLD COL 9 NEW COL 9

20.000000

14.000000 -24.000000 4.0000000

5 . 0000000

20.000000 -24.000000

4 . 0000000

5 . 0000000

12.000000

30 . 000000

24.000000 -14.000000

14.000000

1 5 . 000000

24.000000

-14.000000

14.000000

1 5 . 000000

24 . 000000

15.000000

15.000000

15.000000

15.000000

15.000000

14.000000

12.000000

0.0.

0.

0.

0.

0.

5 . 0000000

7 . 0000000

24.000000 22.000000

10.000000

10.000000

10.000000

22 . 000000

10.000000

10.000000

10.000000 40.000000

1 5 . 000000

15.000000

15.000000

15.000000

15.000000

30 . 000000

5.0000000

7 . 0000000

8 . 0000000 -25.000000

8 . 0000000 -25.000000 40.000000

15.000000

17.000000 18.000000 -15.000000

15.000000

17.000000 18.000000 -15.000000

0.

15.000000

15.000000

15.000000

15.000000

15.000000 ***************************************************************************

THE FOLLOWING VALUES SHOULD BE 58. 30. AND 225.0.

58.000000 30.000000 225.00000 ***************************************************************************

266
OMNITAB 80 TEST Fl COUNT, DUPLICATE AND CLOSE UP INSTR. (5.1), (5.2) AND (5.3) PAGE 4

LIST OF DATA, INSTRUCTIONS AND DIAGNOSTICS

GENERATE NOS. START WITH 1.23456789 IN STEPS OF 1.0 THRU 15. STORE IN COL 3

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM TO 15.

SET THE FOLLOWING NUMBERS IN COLUMN 4 20.0 14.0 -24.0 4. 5. 14. 12. 0.0 0.0 0.0 30. 5. 7. 8. -25.0

ADD THE CONSTANT 10. TO COLUMN 4 AND STORE RESULT IN COL 5 DUPLICATE 2 TIMES THE ARRAY IN ROW 2 OF COL 3 SIZE 5X3 STORE IN ROW 2 OF COL 6 TITLE1 RESULTS FROM DUPLICATING 2 TIMES THE VALUES IN A 5X3 ARRAY

T I TLE2BEG INNING IN ROW 2 COL 3. RESULTS ARE STORED BEGINNING IN TITLE3R0W 2 COL 6. COLS 3-5 WERE DEFINED BY GENERATE, SET AND ADD TITLE4C0MMANDS. COLS 6-8 WERE DEFINED BY DUPLICATE COMMAND. PRINT COLUMNS 3, 4, 5, 6, 7 AND 8 MSUB A IN ROW 2 OF COL 3 SIZE 5X3 MINUS B IN R=2, C=6 SIZE 5X3 PUT IN R=2, C=9 MSUBTRACT A IN R=7, C=6 SIZE 5X3 MINUS B IN R=2, C=3 SIZE 5X3 PUT IN R=2, C=12 SMPROPERTIES OF MATRIX IN ROW 2 OF COL 9 SIZE 5X6 STORE PROPERTIES IN COL 15 SPACE

NOTE ***************************************************************************

SPACE

NOTE THE FOLLOWING VALUE SHOULD BE CLOSE TO OR EQUAL TO ZERO. SPACE ABRIDGE ROW 11 OF COLUMN 15 SPACE

NOTE ***************************************************************************

COUNT THE LENGTH OF COLUMN 4 AND VECTORIZE COUNT IN COLUMN 9 COUNT THE LENGTH OF COLUMN 6 AND VECTORIZE COUNT IN COLUMN 10 TITLE1 RESULTS FROM COUNT COMMAND. COL 9 CONTAINS NO. OF VALUES IN TITLE2 COL 4. COL 10 CONTAINS THE NO. OF VALUES IN COL 6. TITLE3 THE COUNT BEGINS AT THE FIRST NON-ZERO VALUE STARTING AT NR TITLE4MAX AND GOING TO ROW ONE. PRINT COLUMNS 4, 6, 9 AND 10 SPACE

NOTE ***************************************************************************

SPACE NOTE THE FOLLOWING TWO NUMBERS SHOULD BE 15. AND 11. SPACE

ABRIDGE ROW 1 OF COLUMNS 9 AND 10 SPACE

NOTE ***************************************************************************

MOVE THE VECTOR IN ROW 1 OF COL 4 SIZE 15X1, STORE IN ROW 1 OF COL 11 MOVE THE VECTOR IN ROW 1 OF COL 5 SIZE 15X1 , STORE IN ROW 1 OF COL 12 MOVE THE VECTOR IN ROW 1 OF COL 9 SIZE 15X1, STORE IN ROW 1 OF COL 13 CLOSE UP ROWS HAVING THE VALUE 14.0 IN COLUMN 4 CLOSE UP ROWS HAVING THE VALUE 30.0 IN COLUMNS 4 AND 5 CLOSE UP ROWS HAVING THE VALUE 15.0 IN COLUMN 9 NEW PAGE NOTE RESULTS FROM CLOSE UP COMMAND. THE VALUE 14.0 IS REMOVED FROM COL 4. NOTE THE VALUE 30.0 IS REMOVED FROM COLUMNS 4 AND 5, AND 15. FROM COLUMN 9. SPACE

267
OMNITAB 80 TEST Fl COUNT, DUPLICATE AND CLOSE UP INSTR. (5.1), (5.2) AND (5.3) PAGE 5

LIST OF DATA, INSTRUCTIONS AND DIAGNOSTICS

FORMAT C (18A3) READ C FORMAT, 1 LINE INTO COLS 23***40

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM 15 TO 1.

1 DATA CARD(S) READ BUT NOT LISTED

FORMAT D (4X,3A3,6X,3A3,7X,3A3,5X,3A3,7X,3A3,6X,3A3)

RESET NRMAX 1 NPRINT D FORMAT, COLS 23***40

RESET NRMAX 15

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM 1 TO 15.

SPACE NPRINT COLUMNS 11,4, 12, 5, 13 AND 9 SUM COLUMN 11 STORE IN COLUMN 14 SUM COLUMN 12 STORE IN COLUMN 15 SUM COLUMN 13 STORE IN COLUMN 16 SUM COLUMN 4 STORE IN COLUMN 17 SUM COLUMN 5 STORE IN COLUMN 18 SUM COLUMN 9 STORE IN COLUMN 19 SUBTRACT COLUMN 17 FROM COLUMN 14 STORE IN COLUMN 20 SUBTRACT COLUMN 18 FROM COLUMN 15 STORE IN COLUMN 21 SUBTRACT COLUMN 19 FROM COLUMN 16 STORE IN COLUMN 22 SPACE

NOTE ***************************************************************************

SPACE NOTE THE FOLLOWING VALUES SHOULD BE 58. 30. AND 225.0. SPACE ABRIDGE ROW 1 OF COLUMNS 20, 21 AND 22 SPACE

NOTE ***************************************************************************

NATIONAL BUREAU OF STANDARDS. WASHINGTON, D. C. 20234 OMNITAB 80 VERSION 6.00 MARCH 2, 1981

268
OMNITAB 80 TEST F2 REGRESSION ANAL., BESTCP AND SPLIT PLOT. (6.4), (6.5), (6.6) PAGE 1

LEAST SQUARES FIT OF RESPONSE, COLUMN 37, AS A LINEAR FUNCTION OF 2 INDEPENDENT VARIABLES IN COLUMNS 10, 11 USING 5 NON-ZERO WEIGHTS AND ZERO WEIGHTS IN COLUMN 10

ROW

12

34

5

INDEP VAR. COLUMN 1

35.000000

45 . 000000

55.000000 65.000000

75 . 000000

RESPONSE COLUMN 37

114.00000

124.00000

143.00000

158.00000

166.00000

PREDICTED

RESPONSE

113.40000

127.20000

141.00000 154.80000 168.60000

STD. DEV. OF STD. PRED. RESPONSE RESIDUALS RES. \VEIGHT!

2.5139610 . 59999999 .29 1.000 1.7776389 -3 . 2000000 -1.18 1.000 1.4514361 2.0000000 .69 1.000 1.7776389 3 . 2000000 1.18 1.000 2.5139610 -2 . 6000000 -1.27 1.000

DIAGNOSTIC INFORMATION FOR IDENTIFYING INFLUENTIAL MEASUREMENTS.

I = ROW, FOR 5 LARGEST VALUES, T(I) = STANDARDIZED RESIDUAL,

H(I) = DIAGONAL OF HAT MATRIX, D(I) = COOK STATISTIC,

WSSD(I) = DANIEL-WOOD STATISTIC, V(I) = VAR(YHAT) / VAR (RES I DUAL).

I T(I) I H(I) I D(I) I WSSD(I) I V(I)

5 -1.27 1 .600 5 1.20 1 72.32 1 1.50

2 -1.18 5 .600 2 .30 5 72.32 5 1.50

4 1.18 2 .300 4 .30 2 18.08 2 .43

3 .69 4 .300 1 .06 4 18.08 4 .43

1 .29 3 .200 3 .06 3 .00 3 .25

THE DURBIN-WATSON STATISTIC IS D = 2.4227848

269
OMNITAB 80 TEST F2 REGRESSION ANAL., BESTCP AND SPLIT PLOT. (6.4), (6.5), (6.6) PAGE 2

STANDARDIZED RESIDUALS VS ROW NUMBER STANDARDIZED RESIDUALS VS PREDICTED RESPONSE

3 . 75 + + X + + 1

2.25- + 2.25-

.75+ + .75+

-.75* + -.75+

-2.25- + -2.25-

-3.75 + +- 1.0

.+ X 4 +

- 3.0000

._+ -3.75 + + X + + + 5.0 1.1340*002 1.4100-002 1.6860-002

STANDARDIZED RESIDUALS VS COLUMN 11 NORMAL PROBABILITY PLOT OF STANDARDIZED RESIDUALS

2.25- + 2.25-

.75- + .75+

-.75+ + -.75+

-2.25- + -2.25-

-3 . 75 + + + X +-

3.5000-001 5.5000+001 7.5000-001 ' -2.5 0.0 2.5

270
OMNITAB 80 TEST F2 REGRESSION ANAL., BESTCP AND SPLIT PLOT. (6.4), (6.5), (6.6) PAGE 3

LEAST SQUARES FIT OF RESPONSE, COLUMN 37, AS A LINEAR FUNCTION OF 2 INDEPENDENT VARIABLES IN COLUMNS 10, 11 USING 5 NON-ZERO WEIGHTS AND ZERO WEIGHTS IN COLUMN 10

COLUMN

SAMPLE VARIANCE-COVARIANCE MATRIX OF THE ESTIMATED COEFFICIENTS WITH CORRELATIONS ABOVE THE DIAGONAL.

10 11

10 33.969999

11 -.57933332

.9685 .010533333

THERE ARE NO REPLICATIONS FOR A LACK OF FIT ANALYSIS OF VARIANCE.

ANALYSIS OF VARIANCE

-DEPENDENT ON ORDER INDEPENDENT VARIABLES ARE ENTERED, UNLESS VECTORS ARE ORTHOGONALINDEP VAR. SS==RED. DUE TO COEF. CUM. RESIDUAL MS D.F. F(COEF=0) P(F) F(COEFS=0) P(F)

COLUMN 10 COLUMN 199405.000

1904.4000 483.9999910.533333

4

3 9437.183180.797

.000

.001 4808.990180.797

.000

.001

RESIDUAL 31.600000 3

TOTAL 101341.00 5

ESTIMATES FROM LEAST SQUARES FIT

INDEP VAR. COEFFICIENT S.D. OF COEFF. RATIO ACCURACY*

COLUMN 10 COLUMN 165.100000

1.3800000 5.8283788. 10263203

11.17

13.45 7.83

7.97

RESIDUAL STANDARD DEVIATION = BASED ON DEGREES OF FREEDOM 3.2455097

5 - 2 = THE NUMBER OF CORRECTLY COMPUTED DIGITS IN EACH COEFFICIENT USUALLY DIFFERS BY LESS THAN 1 FROM THE NUMBER GIVEN HERE.

THE NUMBER OF ITERATIONS WAS 2. SCALING WAS NOT USED. THE AVERAGE NUMBER OF DIGITS IN AGREEMENT BETWEEN INITIAL SOLUTION AND 1ST ITERATION IS 7.83.

•••it********************************************************************

THE EXAMPLE GIVEN ABOVE IS FROM G. W. SNEDECOR'S 'STATISTICAL METHODS',

(5TH ED., 1956), PAGES 122-126. ***************************************************************************

271
OMNITAB 80 TEST F2 REGRESSION ANAL., BESTCP AND SPLIT PLOT. (6.4), (6.5), (6.6) PAGE 4

***************************************************************************

THE FOLLOWING VALUES MUST BE EQUAL TO OR NEAR ZERO.

.00000 .00000 .00000 .00000 .00000 .00000 ***************************************************************************

RESULTS FROM MORTHO

ORTHONORMAL ACTORS

ROW/COL 20 21

1 4.472136-001 -6.324555-001

2 4.472136-001 -3.162278-001

3 4.472136-001 -4.318716-010

4 4.472136-001 3.162278-001

5 4.472136-001 6.324555-001

TRANSFORMATION MATRIX

ROW/COL 25 26

1 .44721360 -1.7392527

2 0. .031622776

***************************************************************************

THE FOLLOWING VALUES MUST BE EQUAL TO OR NEAR .89 AND 2.0.

.89000019 2.0000000 ***************************************************************************

272
OMNITAB 80 TEST F2 REGRESSION ANAL., BESTCP AND SPLIT PLOT. (6.4), (6.5), (6.6) PAGE 5

SPLIT PLOT USING J. BARNES DATA. ANALYSIS OF VARIANCE FOR SPLIT-PLOT EXPERIMENTAL DESIGN

MODEL IS Y(IJK) = MU + R(I) + W(J) + ETA(IJ) + S(K) +WS(JK) + E(IJK), WHERE ETA AND E ARE RANDOM AND MU, W, S, AND WS ARE FIXED EFFECTS.

18 MEASUREMENTS (Y) IN COLUMN 2

2 REPLICATES (R) IN COLUMN 51

3 WHOLE-PLOTS (W) IN COLUMN 52

3 SPLIT-PLOTS (S) IN COLUMN 53

SOURCE D.F. SUM OF SQUARES MEAN SQUARES F-RATIO P(F)

(R) COLUMN 51 1 1.7422231 1.7422231

(W) COLUMN 52 2 662.66779 331.33389

R X W INTERACTION 2 15.221115 7.6105574

(S) COLUMN 53 2 2.6677791 1.3338895

W X S INTERACTION 4 23.395555 5.8488889 RESIDUAL 6 51.916665 8.6527774

TOTAL 17 757.61112

.005 .995

154 .860

.676 .633

273
OMNITAB 80 TEST F2 REGRESSION ANAL.. BESTCP AND SPLIT PLOT. (6.4), (6.5), (6.6) PAGE 6

BESTCP STATISTIC STUDY, PAGE 89 OF DANIEL AND WOOD. C(P) STATISTICS FOR COLUMN 1 AS A LINEAR FUNCTION OF A CONSTANT AND

FROM 1 UP TO 4 VARIABLES WITH 13 MEASUREMENTS WITH NONZERO WEIGHTS

VARIABLE 1 IS COLUMN 11 , VARIABLE 2 IS COLUMN 12 VARIABLE 3 IS COLUMN 13 , VARIABLE 4 IS COLUMN 14

REGRESSION WITH 1 VARIABLE

C(P) STATISTIC VARIABLES

138.731 4 142.486 2 202.549 1 315.154 3

REGRESSIONS WITH 2 VARIABLES

VARIABLE

12

C(P) = 2.678 COEFFICIENT

1.4683058

. 66225047

F RATIO

146.523 208.582

VARIABLE

14

C(P) = 5.496 COEFFICIENT

1.4399583 -.61395362

F RATIO

108.224

159.295

VARIABLE

34

C(P) = 22.373 COEFFICIENT

-1.1998512

-.72460013

F RATIO

40.295

100.357

VARIABLE

2

3

C(P) = 62.438 COEFFICIENT

.73132958 -1.0083862

F RATIO

36.683

11.816

VARIABLE

24

C(P) = 138.226 COEFFICIENT

.31090473 -.45694190

F RATIO

.172

.431

C(P) STATISTIC VARIABLES

198.094 1 3

REGRESSIONS WITH 3 VARIABLES

VARIABLE

124

C(P) = 3.018 COEFFICIENT

1.4519380

.41610947 -.23654049

F RATIO

154.008 5.026

1.863

VARIABLE

12

3

C(P) = 3.041 COEFFICIENT

1.6958901 .65691487

.25001752

F RATIO

68.716 220.547

1.832

274
OMNITAB 80 TEST F2 REGRESSION ANAL., BESTCP AND SPLIT PLOT. (6.4), (6.5), (6.6) PAGE 7

BESTCP STATISTIC STUDY, PAGE 89 OF DANIEL AND WOOD.

VARIABLE

134

VARIABLE

2

34

C(P) = 3.497 COEFFICIENT

1.0518541 -.41004334

-.64279614

C(P) = 7.337 COEFFICIENT

-.92341541 -1.4479710

-1.5570444

REGRESSIONS WITH 4 VARIABLES

VARIABLE

12

34

C(P) = 5.000 COEFFICIENT

1.5510969

.51016177 .10190346 -.14406672

F RATIO

22.113 4.236

208 . 240

F RATIO

12.427 96.940 41.654

RATIO

4.337

.497

.018

.041

14 REGRESSIONS 56 OPERATIONS

275
CARD 4 CARD 5 CARD 6 CARD 7 CARD 8 CARD 9 CARD 10

CARD 11 CARD 12 CARD 13 CARD 14 CARD 15

OMNITAB 80 TEST F2 REGRESSION ANAL.. BESTCP AND SPLIT PLOT. (6.4), (6.5), (6.6) PAGE

LIST OF DATA, INSTRUCTIONS AND DIAGNOSTICS

SCAN 60 S THIS WILL IGNORE ALL NUMERICS IN CARD COLS 61 AND BEYOND CARD 1 SET X IN COL 1

1

CARD 2 35,45,55,65,75 CARD 3

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM TO 5.

SET Y IN COL 37 114,124.143,158.166

DEFINE 1.0 IN COLUMN 10 SQUARE COL 11 AND STORE IN COL 12 MULTIPLY COL 11 BY COL 12 AND STORE IN COL 13 SPOLYFIT Y COL 37 WT=1. DEG 1 X IN 11 STORE 20***23,1,24

FIT Y IN 37 WT IN 10 2 VEC X IN 10,11 STORE 40***43.1.44

HMOVE ROW 1 OF COL 40 SIZE 5X2 PUT IN R0» 1 OF COL 48 SUBTRACT COL 41 FROM COL 21 STORE IN COL 41 SUBTRACT COL 42 FROM COL 22 STORE IN COL 42 AVERAGE COL 41 STORE IN COL 41 AVERAGE COL 42 STORE IN COL 42 RESET NRMAX TO 16

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM 5 TO 16.

SUBTRACT COL 20 FROM COL 40 STORE IN COL 40 AVERAGE COL 40 STORE IN COL 40 RESET NRMAX TO 12

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM 16 TO 12.

SUBTRACT COL 43 FROM COL 23 PUT IN COL 43 AVERAGE COL 43 STORE IN COL 43 RESET NRMAX TO 8

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM 12 TO 8.

SUBTRACT COL 44 FROM COL 24 PUT IN COL 44 CARD 22 AVERAGE COL 44 PUT IN COL 44 CARD 23 SUBTRACT COL 45 FROM COL 25 PUT IN COL 45 CARD 24 AVERAGE COL 45 PUT IN COL 45 CARD 25 FORMAT D (1X.1P6E13.5) CARD 26 SCAN ALL 80 COLUMNS OF EACH CARD

SPACE 2 \OTE *********«*«*»»*»*«**«*»******»*«*****»«»*«***»**»***»*******«****«*»******

SPACE NOTE THE EXAMPLE GIVEN ABOVE IS FROM G. f. SNEDECOR'S 'STATISTICAL METHODS', NOTE (5TH ED., 1956). PAGES 122-126. SPACE

CARD 16 CARD 17 CARD 18

CARD 19 CARD 20 CARD 21

276
OMNITAB 80 TEST F2 REGRESSION ANAL., BESTCP AND SPLIT PLOT. (6.4), (6.5), (6.6) PAGE 9

LIST OF DATA, INSTRUCTIONS AND DIAGNOSTICS

NOTE ***************************************************************************

NEW PAGE

NOTE ***************************************************************************

SPACE

NOTE THE FOLLOWING VALUES MUST BE EQUAL TO OR NEAR ZERO. SPACE ABRIDGE D FORMAT, ROW 1 OF COLS 40**»45

SPACE NOTE ***************************************************************************

RESET NRMAX TO 5

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM 8 TO 5.

SFIT Y IN 37 WT=1.0, 2 VECTORS IN COLS 10 AND 11, PUT IN COLS 50***53, 1, 54 MORTHO ROW 1 COL 10 SIZE 5X2 WTS=1.0 STORE ORTHO VEC IN 1,20 AND T IN 1,25 NOTE RESULTS FROM MORTHO

SPACE

NOTE ORTHONORMAL VECTORS

SPACE MPRINT MATRIX IN ROW 1 OF COL 20 SIZE 5X2 SPACE 2 NOTE TRANSFORMATION MATRIX

SPACE MPRINT MATRIX IN ROW 1 OF COL 25 SIZE 2X2 LARFIT COL 37 WTS=1. 2 VEC IN COLS 10, 11 PUT COEF IN COL 45 AND RES IN COL 46

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - THE OPTIMAL SOLUTION IS PROBABLY NOT UNIQUE.

SUBTRACT COL 45 FROM COL 48 PUT IN COL 45 SUBTRACT COL 46 FROM COL 49 PUT IN COL 46 AVERAGE COL 46 PUT IN COL 46 RESET NRMAX = 2

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM 5 TO 2.

AVERAGE COL 45 PUT IN COL 45 SPACE 3 NOTE ***************************************************************************

SPACE

NOTE THE FOLLOWING VALUES MUST BE EQUAL TO OR NEAR .89 AND 2.0. SPACE ABRIDGE ROW 1 OF COLS 45 AND 46 SPACE

NOTE ***************************************************************************

TITLE3 SPLIT PLOT USING J. BARNES DATA. READ INTO COLS 1***8

78.1 77.9 10 10

277
OMNITAB 80 TEST F2 REGRESSION" ANAL., BESTCP AND SPLIT PLOT. (6.4), (6.5), (6.6) PAGE 10

LIST OF DATA. INSTRUCTIONS AND DIAGNOSTICS

75.2 77.0 1 1 74.0 73.3 1 1 78.0 79.6 1 1 77.5 79.2 1 1 77.6 79.5 1 1 77.6 88.5 1 1 74.0 82.1 1 1 75.2 83.0 1 1 77.5 88.1 1 1 78.0 89.0 1 1 78.1 86.3 1 1 78.0 73.2 1 1 77.5 72.3 1 1 77.6 72.9 1 1 78.1 70.6 1 1 75.2 71.6 1 1 74.0 67.5 1 1

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX MS BEEN RESET FROM 2 TO 18.

SET REP NUMBER IN COLUMN 51 121212121212121212

SET TOOLE PLOT TREATMENT NUMBER IN COLUMN 52 111111222222333333

SET SPLITPLOT TREATMENT NUMBER IN COLUMN 53 1122331122 3 3112233

SPLIT PLOT COL 2 PLT REP NOS IN COL 51 TOOLE PLOT NO IN COL 52 SPLIT PLOT NOS 53 TITLE3 BESTCP STATISTIC STUDY. PAGE 89 OF DANIEL AND WOOD. READ DATA INTO COLUMNS 11. 12, 13. 14 AND 1 7 26 6 60 78.5

1 29 15 52 74.3

11 56 8 20 104.3

11 31 8 47 87.6

7 52 6 33 95.9

11 55 9 22 109.2

3 71 17 6 102.7

1 31 22 44 72.5

2 54 18 22 93.1

21 47 4 26 115.9

1 40 23 34 83.8

11 66 9 12 113.3

10 68 8 12 109.4

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET ROM 18 TO 13.

DEFINE 1.0 INTO COLUMN 10 BESTCP Y IN COL 1. WTS=1.0. FOR 5 VARIABLES IN COLS 10***14

NATIONAL BUREAU OF STANDARDS. WASHINGTON, D. C. 20234 OMNITAB 80 VERSION 6.00 MARCH 2. 1981

278
OMNITAB 80 TEST F3 HARMONIC ANALYSIS INSTRUCTION. (8.5) PAGE 1

DEGREE ORDINATES COEF

0. 15.000000 30.000000

45 . 000000

60.000000

149.00000 * 137.00000 * 128.00000

126.00000

128.00000

1.6716667-02

-1.9983119+01 -3.4098809 5.4706860

-1.2916662

75.000000

90.000000

105.00000

120.00000

135.00000

135.00000 159.00000

178.00000

189.00000

191.00000

.24975916 .74999954

.30921129

.45833445 -.30401961

150.00000

165.00000

180.00000

195.00000 210.00000

189.00000

187.00000

178.00000

170.00000 * 177.00000 *

-.090117931 -.24252383 -.083333333

-1.2779225+01

-1.6624567+01

225.00000 240.00000

255.00000

270.00000

285.00000

183.00000

181.00000 179.00000

179.00000

185.00000

-.32322375

1.5155446

1.4616947 -2.5833335

.32216867

300.00000

315.00000

330.00000

345 . OOOOO

182.00000

176.00000

166.00000

160.00000

-.21650584

.67678118 -.45876074

-.63970299

ABOVE PROBLEM IS EXAMPLE FROM J.B. SCARBOROUGH, NUMERICAL MATHEMATICAL ANALYSIS (2ND ED. ,1950) PAGES 490-491.

***************************************************************************

VALUE IN THE NEXT ROW MUST BE EQUAL TO OR NEAR ZERO.

-8.735030-007 ***************************************************************************

279
OMNI TAB 80 TEST F3 HARMONIC ANALYSIS INSTRUCTION. (8.5) PAGE 2

LIST OF DATA, INSTRUCTIONS AND DIAGNOSTICS

SET DATA IN COL 1 149 137 128 126 128 135 159 178 189 191 189 187 178 170 177 183 181 179 179 185

182 176 166 160

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM TO 24.

HARMONIC ANALYSIS OF POINTS COL 1 FOR 24 ORDINATES AND PUT RESULTS IN COL 2 GENERATE FROM 0. IN STEPS OF 15. THRU 345. AND PUT IN COL 3 HEAD 3/ DEGREE

HEAD 1/ ORDINATES

HE.AD 2/ COEF PRINT 3 1 2 SPACE NOTE ABOVE PROBLEM IS EXAMPLE FROM J.B. SCARBOROUGH, NOTE NUMERICAL MATHEMATICAL ANALYSIS (2ND ED., 1950) PAGES 490-491.

S READ FOLLOWING DATA INTO COL 11 DATA WILL NOT BE LISTED

NO LIST S"LIST" COMMAND IS USED TO LIST THE FOLLOWING COMMANDS BUT DOES NOT SAPPEAR ITSELF IN THIS PRINTOUT. SUBTRACT COL 11 FROM COL 2 STORE IN COL 11 AVERAGE COL 11 STORE IN COL 11 SPACE 2 NOTE ***************************************************************************

SPACE NOTE VALUE IN THE NEXT ROW MUST BE EQUAL TO OR NEAR ZERO. SPACE FORMAT A (30X.1PE16.6) ABRIDGE A FORMAT, ROW 1 OF COL 11 SPACE

\0T E ***************************************************************************

NATIONAL BUREAU OF STANDARDS. WASHINGTON, D. C. 20234

OMNI TAB 80 VERSION 6.00 MARCH 2, 1981

280
OMNITAB 80 TEST F4 SOLVE LINEAR EQUATIONS AND INVERT MATRIX. (8.5) AND (11.5) PAGE 1

MATRIX TO BE INVERTED.

2. -1. 0. 0. 0. 0. 0. 0. 0. 0.

1. 2. -1. 0. 0. 0. 0. 0. 0. 0.

0. -1. 2. -1. 0. 0. 0. 0. 0. 0.

0. 0. -1. 2. -1. 0. 0. 0. 0. 0.

0. 0. 0. -1. 2. -1. 0. 0. 0. 0. 0. 0. 0. 0. -1. 2. -1. 0. 0. 0.

0. 0. 0. 0. 0. -1. 2. -1. 0. 0.

0. 0. 0. 0. 0. 0. -1. 2. -1. 0.

0. 0. 0. 0. 0. 0. 0. -1. 2. -1.

0. 0. 0. 0. 0. 0. 0. 0. -1. 2.

INVERSE OF MATRIX.

.90909091

.81818181 .72727273

.63636363

. 54545454

.45454545 .36363636

.27272727

.18181818 .09090909

.81818181 1.63636363

I.45454545 1.27272727

1 . 09090908

.90909091 .72727273 .54545454

.36363636

.18181818

.72727273 I.45454545 2.18181816

1.90909091 1.63636363 1.36363636

1.09090908

.81818181 .54545454

.27272727

.63636363 1.27272727

1.90909091 2.54545453 2.18181816

1.81818181 I.45454545

1 . 09090908

.72727273 .36363636

.54545454 1.09090908

1.63636363 2.18181816 2.72727272

2.27272725

1.81818181 1.36363636

.90909091 .45454545

.45454545

.90909091 1.36363636

1.81818181 2.27272725 2.72727272

2.18181816

1.63636363 1.09090908

.54545454

.36363636

.72727273 1.09090908

1.45454545

1.81818181 2.18181816

2.54545453

1.90909091 1.27272727

.63636363

.27272727

.54545454

.81818181 1.09090908 1.36363636

1.63636363

1.90909091 2.18181816

I.45454545

.72727273

.18181818 .36363636

.54545454

.72727273

.90909091

1 . 09090908

1.27272727

1.45454545

1.63636363

.81818181

. 09090909

.18181818 .27272727 .36363636

.45454545 .54545454

.63636363

.72727273

.81818181 .90909091

*********************************************************************************************************

THE FOLLOWING VALUES MUST BE EQUAL TO OR NEAR ONE.

1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 *********************************************************************************************************

281
OMNITAB 80 TEST F4 SOLVE LINEAR EQUATIONS AND INVERT MATRIX. (8.5) AND (11.5) PAGE

MATRIX A

SOLVE .AX

-12 -1

-1 2 -1

0.

0.

-1.

2. -1.

0.0.

0.

0.

0.

-1

2 -1 -1 2 -1

-1 2 -1 -1 2 -1 -1 2

9 9999999-000 5

1 9500000-001 1 2 8000000-001 1 5

3 5000000-001 2 4 0000000-001 2 5 4 2500000-001 3 4 2000000-001 3 5 3 8000000-001 4

3 0000000-001 4 5

1 ''500000-001 5

***************************************************************************

THE FOLLOWING VALUE MUST BE EQUAL TO OR NEAR ZERO.

0. ***************************************************************************

282
OMNITAB 80 TEST F4 SOLVE LINEAR EQUATIONS AND INVERT MATRIX. (8.5) AND (11.5) PAGE

MATRIX TO BE INVERTED.

OW/COL 2 3 4 5 6 7

1 27720.0 13860.0 9240.0 6930.0 5544.0 4620.0

2 13860.0 9240.0 6930.0 5544.0 4620.0 3960.0

3 9240.0 6930.0 5544.0 4620.0 3960.0 3465.0

4 6930.0 5544.0 4620.0 3960.0 3465.0 3080.0

5 5544.0 4620.0 3960.0 3465.0 3080.0 2772.0

6 4620.0 3960.0 3465.0 3080.0 2772.0 2520.0

THE ABOVE MATRIX IS 27720.0 TIMES THE HILBERT MATRIX OF ORDER 6.

INVERSE OF MATRIX.

ROW/COL

7

8910

1112

1.298701-003 -2.272727-002

1.212121-001 -2.727273-001

2.727273-001 -1.000000-001

-2.272727-002 1.212121-001 5.303030-001 -3.181818+000

-3.181818+000 7.636364-000

-7.954545-000

3 . 000000-000

2.727273-001 7.636364+000

2.036364+001 -5.090909+001

-5.090909+001 5.454545+001

-2.100000+001

1.309091+002

-1.431818+002 5.600000+001

2.727273-001 -7.954545+000

5.454545+001 -1.431818+002

1 . 590909+002

-6.300000+001

-1.000000-001 3.000000+000

-2.100000+001

5.600000+001 -6.300000+001

2.520000+001

******************************************************************************************

THE FOLLOWING VALUES MUST BE EQUAL TO OR NEAR ONE. HOWEVER IN INVERTING THE MATRIX A, SOME SIGNIFICANCE IS LOST.

IF DONE IN DOUBLE PRECISION OR ON MACHINE WHICH HAS MORE THAN 8 SIGNIFICANT DIGITS, BETTER RESULTS WILL BE OBTAINED.

1 . 0000044 1.0001724 .0119752 .98724808 .98523353 1.0009356 ******************************************************************************************

283
OMNI TAB 80 TEST F4 SOLVE LINEAR EQUATIONS AND INVERT MATRIX. (8.5) AND (11.5) PAGE 4

SOLVE .AX = Y

MATRIX A X Y

27720. 13860. 9240. 6930. 5544. 4620. -7.7922078-003 1. 13860. 9240. 6930. 5544. 4620. 3960. 2.6515152-001 2. 9240. 6930. 5544. 4620. 3960. 3465. -2.0606061-000 3. 6930. 5544. 4620. 3960. 3465. 3080. 6.0000000-000 4. 5544. 4620. 3960. 3465. 3080. 2772. -7.2727273-000 5. 4620. 3960. 3465. 3080. 2772. 2520. 3.1000000-000 6.

***************************************************************************

THE FOLLOWING VALUE MUST BE EQUAL TO OR NEAR ZERO. HOWEVER IN INVERTING THE MATRIX A. SOME SIGNIFICANCE IS LOST.

IF DONE IN DOUBLE PRECISION OR ON MACHINE WHICH HAS MORE THAN 8 SIGNIFICANT DIGITS, BETTER RESULTS WILL BE OBTAINED.

* 7.4212749-05 it**********************************************************************

284
OMNITAB 80 TEST F4 SOLVE LINEAR EQUATIONS AND INVERT MATRIX. (8.5) AND (11.5) PAGE 5

LIST OF DATA, INSTRUCTIONS AND DIAGNOSTICS

READ MATRIX DATA IN COLS 1, 2, 3, 4, 5, 6, 7, 8, 9 AND 10

2. -1. 0. 0. 0. 0. 0. 0. 0.

1. 2. -1. 0. 0. 0. 0. 0. 0. 0. -1. 2. -1. 0. 0. 0. 0. 0. 0. 0. -1. 2. -1. 0. 0. 0. 0. 0. 0. 0. -1. 2. -1. 0. 0. 0. 0. 0. 0. 0. -1. 2. -1. 0. 0. 0. 0. 0. 0. 0. -1. 2. -1. 0. 0. 0. 0. 0. 0. 0. -1. 2. -1.

0. 0. 0. 0. 0. 0. 0. -1. 2. -1

0. 0. 0. 0. 0. 0. 0. 0. -1. 2.

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM TO 10.

MINVERT MATRIX A IN ROW 1 COL 1 SIZE 10X10 PUT INVERT MATRIX B IN ROW 1 COL 11 ++++ SMALLEST ERROR BOUND ON INVERTED MATRIX IS .2-005 NEW PAGE FORMAT D (1 OF 12.0) NOTE MATRIX TO BE INVERTED. SPACE MPRINT D FORMAT, MATRIX A IN ROW 1 OF COL 1 SIZE 10X10 SPACE 2 NOTE INVERSE OF MATRIX. SPACE FORMAT B (10F12.8) MPRINT B FORMAT, MATRIX B IN ROW 1 OF COL 11 SIZE 10X10 MMULT A IN R=l C=l SIZE 10X10 BY B IN R=l C= 1 1 SIZE 10X10 PUT IN R=l C=21

1/SUM COL 21 STORE IN COL 21 2/ INCREMENT INSTRUCTION 1 BY 1 AND 1 REPEAT 1 THRU 2, 10 TIMES

SPACE 2 NOTE i************************************************************

N0TE2 * ********************************************

PRINT NOTE SPACE NOTE THE FOLLOWING VALUES MUST BE EQUAL TO OR NEAR ONE. SPACE FORMAT C (5X.10F10.2) ABRIDGE C FORMAT, ROW 1 OF COLS 21***30

SPACE PRINT NOTE GENERATE Y FROM .5 IN STEPS OF .5 THRU 5. PUT IN COL 12 SOLVE AX=Y, A IN ROW 1 OF COL 1 SIZE 10X10 Y IN COL 12 STORE X IN COL 11 ++++ SMALLEST ERROR BOUND ON INVERTED MATRIX IS .2-005 NEW PAGE NOTE SOLVE AX = Y SPACE

NOTE MATRIX A X Y SPACE

285
OMNITAB 80 TEST F4 SOLVE LINEAR EQUATIONS AND INVERT MATRIX. (8.5) AND (11.5) PAGE 6

LIST OF DATA, INSTRUCTIONS AND DIAGNOSTICS

FORMAT A(10F5.0,1PE15.7,0PF5.1)

APRINT A FORMAT, ARRAY IN ROW 1 OF COL 1 SIZE 10X12 M(AV) MULT MATRIX A IN ROW 1 COL 1 SIZE 10X10 BY VECTOR IN COL 11 PUT IN COL 13 SUBTRACT COL 13 FROM COL 12 STORE IN COL 13 AVERAGE COL 13 STORE IN COL 13 SPACE 2 NOTE ***************************************************************************

SPACE

NOTE THE FOLLOWING VALUE MUST BE EQUAL TO OR NEAR ZERO. SPACE ABRIDGE ROW 1 OF COL 10 SPACE NOTE ***************************************************************************

RESET NRMAX TO

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM 10 TO 0.

READ MATRIX DATA STARTING IN FIRST ROW OF 2, 3, 4, 5, 6 AND 7 27720. 13860. 9240. 6930. 5544. 4620.

13860. 9240. 6930. 5544. 4620. 3960. 9240. 6930. 5544. 4620. 3960. 3465.

6930. 5544. 4620. 3960. 3465. 3080.

5544. 4620. 3960. 3465. 3080. 2772. 4620. 3960. 3465. 3080. 2772. 2520.

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM TO 6.

INVERT MATRIX A IN ROW 1 OF COL 2 SIZE 6X6 STORE IN MATRIX B IN ROW 7 OF COL 2 ++++ SMALLEST ERROR BOUND ON INVERTED MATRIX IS .7+001 SET IN COL 9 THE FOLLOWING DATA

1. 2. 3. 4. 5. 6. NEW PAGE FIXED PRINT DATA WITH 1 DECIMAL DIGIT

NOTE MATRIX TO BE INVERTED. SPACE MPRINT MATRIX A IN ROW 1 OF COL 2 SIZE 6X6 SPACE 2 NOTE THE ABOVE MATRIX IS 27720.0 TIMES THE HILBERT MATRIX OF ORDER 6. SPACE 2 NOTE INVERSE OF MATRIX. SPACE FLEXIBLE PRINT WITH FULL SIGNIFICANT DIGITS

MPRINT MATRIX B IN ROW 7 OF COL 2 SIZE 6X6 MMULT MATRIX IN R=l C=2 SIZE 6X6 BY MATRIX IN R=7 C=2 SIZE 6X6 PUT IN R=l C=15

1/ SUM COL 15 STORE IN COL 15 2/ INCREMENT STATEMENT 1 BY 1 AND 1 REPEAT 1 THRU 2, 6 TIMES

SPACE 2

286
OMNITAB 80 TEST F4 SOLVE LINEAR EQUATIONS AND INVERT MATRIX. (8.5) AND (11.5) PAGE 7

LIST OF DATA, INSTRUCTIONS AND DIAGNOSTICS

N0TE2 ******************************

PRINT NOTE SPACE

NOTE THE FOLLOWING VALUES MUST BE EQUAL TO OR NEAR ONE. NOTE HOWEVER IN INVERTING THE MATRIX A, SOME SIGNIFICANCE IS LOST. NOTE IF DONE IN DOUBLE PRECISION OR ON MACHINE WHICH HAS MORE THAN 8 NOTE SIGNIFICANT DIGITS, BETTER RESULTS WILL BE OBTAINED. SPACE ABRIDGE ROW 1 OF COLS 15 *** 20 SPACE PRINT NOTE SOLVE AX=Y, A IN ROW 1 OF COL 2 SIZE 6X6 Y IN COL 9 STORE X IN COL 8 ++++ SMALLEST ERROR BOUND ON INVERTED MATRIX IS .7+001 NEW PAGE

NOTE SOLVE AX = Y SPACE NOTE . MATRIX A X Y SPACE FORMAT E(6F7.0,1PE15.7,0PF5.0)

APR I NT E FORMAT, ARRAY IN ROW 1 OF COL 2 SIZE 6X8 M(AV) MULT MATRIX A IN ROW 1 OF COL 2 SIZE 6X6 BY VECTOR IN COL 8 PUT IN COL 10 SUBTRACT COL 10 FROM COL 9 STORE IN COL 10 AVERAGE COL 10 STORE IN COL 10 SPACE 2 NOTE ***************************************************************************

SPACE

NOTE THE FOLLOWING VALUE MUST BE EQUAL TO OR NEAR ZERO. NOTE HOWEVER IN INVERTING THE MATRIX A, SOME SIGNIFICANCE IS LOST. NOTE IF DONE IN DOUBLE PRECISION OR ON MACHINE WHICH HAS MORE THAN 8 NOTE SIGNIFICANT DIGITS, BETTER RESULTS WILL BE OBTAINED. SPACE ABRIDGE ROW 1 OF COL 10 SPACE

NOTE ***************************************************************************

NATIONAL BUREAU OF STANDARDS. WASHINGTON, D. C. 20234 OMNITAB 80 VERSION 6.00 MARCH 2, 1981

287
OMNITAB 80 TEST F5 BRANCHING INSTRUCTIONS. (9.3) AND (9.4) PAGE 1

THIS IS A TEST ON THE BRANCH COMMANDS. THUS THE OUTPUT MUST BE AS FOLLOWS.

***************************************************************************

BECAUSE THE IFGT CONDITION IS TRUE, REPEAT MODE IS TERMINATED

AND THE FOLLOWING STATEMENT IS PRINTED ONLY ONCE. THE FOLLOWING VALUE MUST BE NEAR OR EQUAL TO 25. 25.0 ***************************************************************************

***************************************************************************

BECAUSE THE IFGE CONDITION IS TRUE, REPEAT MODE IS TERMINATED

AND THE FOLLOWING STATEMENT IS PRINTED ONLY ONCE. THE FOLLOWING VALUE MUST BE NEAR OR EQUAL TO 25. 25.0 ***************************************************************************

***************************************************************************

BECAUSE THE IFLT CONDITION IS TRUE, REPEAT MODE IS TERMINATED

AND THE FOLLOWING STATEMENT IS PRINTED ONLY ONCE. THE FOLLOWING VALUE MUST BE NEAR OR EQUAL TO 25. 25.0 ***************************************************************************

***************************************************************************

BECAUSE THE IFLE CONDITION IS TRUE, REPEAT MODE IS TERMINATED

AND THE FOLLOWING STATEMENT IS PRINTED ONLY ONCE. THE FOLLOWING VALUE MUST BE NEAR OR EQUAL TO 25. 25.0 ***************************************************************************

***************************************************************************

BECAUSE THE COMPARE CONDITION IS TRUE, REPEAT MODE IS TERMINATED

AND THE FOLLOWING STATEMENT IS PRINTED ONLY ONCE. THE FOLLOWING VALUE MUST BE NEAR OR EQUAL TO 25. 25.0 ***************************************************************************

288
OMNITAB 80 TEST F5 BRANCHING INSTRUCTIONS. (9.3) AND (9.4) PAGE 2

LIST OF DATA, INSTRUCTIONS AND DIAGNOSTICS

GENERATE X FROM 0.0 IN STEPS OF 10.0 THRU 50. IN COL 1

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM TO 6.

ADD COL 1 TO 0.0 STORE IN COL 2 FORMAT F (50H THE FOLLOWING VALUE MUST BE NEAR OR EQUAL TO 25./10X.F5. 1) 1/ AVERAGE COL 2 STORE IN COL 10 2/ IFGT IF COL 10 IS GREATER THAN 27.0 STOP REPEAT MODE

3/ NULL OTHERWISE CONTINUE

4/ ABRIDGE F FORMAT, ROW 1 OF COL 10 5/ ADD 10.0 TO COL 2 STORE IN COL 2 10/ ADD 0.0 TO COL 1 STORE IN COL 2 NEW PAGE NOTE THIS IS A TEST ON THE BRANCH COMMANDS. NOTE THUS THE OUTPUT MUST BE AS FOLLOWS. SPACE 2 NOTE ***************************************************************************

SPACE NOTE BECAUSE THE IFGT CONDITION IS TRUE, REPEAT MODE IS TERMINATED

NOTE AND THE FOLLOWING STATEMENT IS PRINTED ONLY ONCE. REPEAT INSTRUCTION 10 THRU 10, 1 TIME kEPEAT INSTRUCTIONS 1 THRU 5, 3 TIMES

SPACE

NOTE ***************************************************************************

SPACE 2 NOTE ***************************************************************************

SPACE NOTE BECAUSE THE IFGE CONDITION IS TRUE, REPEAT MODE IS TERMINATED

NOTE AND THE FOLLOWING STATEMENT IS PRINTED ONLY ONCE.

2/ IFGE IF COL 10 IS GREATER THAN OR EQUAL TO 30.0 STOP REPEAT MODE REPEAT INSTRUCTION 10 THRU 10, 1 TIME

REPEAT INSTRUCTIONS 1 THRU 5, 3 TIMES

SPACE NOTE ***************************************************************************

SPACE 2 NOTE ***************************************************************************

SPACE

NOTE BECAUSE THE IFLT CONDITION IS TRUE, REPEAT MODE IS TERMINATED

NOTE AND THE FOLLOWING STATEMENT IS PRINTED ONLY ONCE. 2/IFLT IF 27.0 IS LESS THAN ALL VALUES OF COL 10 STOP REPEAT MODE

REPEAT INSTRUCTION 10 THRU 10, 1 TIME

REPEAT INSTRUCTIONS 1 THRU 5, 3 TIMES

SPACE

NOTE ***************************************************************************

SPACE 2 NOTE ***************************************************************************

SPACE

NOTE BECAUSE THE IFLE CONDITION IS TRUE, REPEAT MODE IS TERMINATED

NOTE AND THE FOLLOWING STATEMENT IS PRINTED ONLY ONCE.

289
OMNITAB 80 TEST F5 BRANCHING INSTRUCTIONS. (9.3) AND (9.4) PAGE 3

LIST OF DATA, INSTRUCTIONS AiND DIAGNOSTICS

2/IFLE IF 30.0 IS LESS THAN OR EQUAL TO ALL VALUES IN COL 10 STOP REPEAT MODE REPEAT INSTRUCTION 10 THRU 10. 1 TIME

REPEAT INSTRUCTIONS 1 THRU 5, 3 TIMES

SPACE \OTE tit************************************************************************

SPACE 2 NOTE ***************************************************************************

SPACE NOTE BECAUSE THE COMPARE CONDITION IS TRUE. REPEAT MODE IS TERMINATED

NOTE AND THE FOLLOWING STATEMENT IS PRINTED ONLY ONCE.

2/ COMP.ARE COL 10 WITH VALUE 35. RELATIVE ERROR OF 91E-3 REPEAT INSTRUCTION 10 THRU 10. 1 TIME REPEAT INSTRUCTIONS 1 THRU 5. 3 TIMES

SPACE NOTE ***************************************************************************

NATIONAL BUREAU OF STANDARDS. WASHINGTON, D. C. 20234 OMNITAB 80 VERSION 6.00 MARCH 2, 1981

290
OMNITAB 80 TEST F6 ARRAY AND MATRIX INSTRUCTIONS. (10.1), (10.2), (11.1), (11.3) PAGE 1 THE FOLLOWING IS AN EXAMPLE OF THE MKRONECKER COMMAND. MATRIX A WAS DEFINED BY MDEFINE. MATRIX B WAS DEFINED BY THE

MDIAGONAL, MADD, AND AERASE COMMANDS. MATRIX C WAS DEFINED BY THE MKRONECKER COMMAND. MATRIX A MATRIX B MATRIX C

2 . 0000000

2.0000000

0.

0.

2.

2.

0.

0.

0000000

0000000

3.0000000 2.0000000

0.

0.

2 .0000000 6.0000000 4.0000000

6.0000000 4.0000000

4.0000000

0.4 . 0000000

0.

6.0000000 4.0000000

6.0000000 4.0000000

4.0000000

0.4.0000000

0.

ARRAYS

A B D=A*B E=-2*B

2.00

2.00

22

.00

.00 3.00 2.00

2.00

.00 6.00 4.00

4.00

.00 -6.00

-4.00

-4 .00

.00

ARRAYS

F=D+E G=A**2 H=-2*A I=G/H

.00

.00

.00

.00 4.004.00 4.004.00

-4.00

-4.00 -4.00-4.00

-1.00

-1.00

-1-1 .00

.00

***************************************************************************

THE FOLLOWING VALUE MUST BE EQUAL TO OR NEAR ZERO.

0. ***************************************************************************

291
OMNITAB 80 TEST F6 ARRAY AND MATRIX INSTRUCTIONS. (10.1), (10.2), (11.1), (11.3) PAGE 2

LIST OF DATA, INSTRUCTIONS AND DIAGNOSTICS

MDEFINE EVERY ELEMENT OF MATRIX A IN ROW 1 COL 1 SIZE 2X2 WITH THE VALUE OF 2.0

MD I AGONAL THE DIAGONAL OF MATRIX B IN ROW 1 OF COL 3, SIZE 2X2, IS SET = 1.0 MADD ADD MAT A IN R=l C=l SIZE 2X2 TO MATRIX B R=l C=3 SIZE 2X2 PUT IN R=l C=3 AERASE ERASE ALL ELEMENTS OF MATRIX B IN ROW 2 OF COL 4 SIZE 1X1 MKRONE KRONECKER PROD OF A R=l C=l SIZE 2X2 BY B R=l C=3 SIZE 2X2 INTO C R=l C=5 RESET NRMAX TO 4

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM TO 4.

TITLE1 THE FOLLOWING IS AN EXAMPLE OF THE MKRONECKER COMMAND. MATR TITLE2IX A WAS DEFINED BY MDEFINE. MATRIX B WAS DEFINED BY THE TITLE3 MD I AGONAL. MADD. AND AERASE COMMANDS. MATRIX C WAS DEFINED TITLE4BY THE MKRONECKER COMMAND. HEAD COL 1/ MATRIX A HEAD COL 2/ HEAD COL 3/ MATRIX B HEAD COL 4/ HEAD COL 5/ MATRIX C HEAD COL 6/ HEAD COL 7/ HEAD COL 8/ PRINT COLS 1***8 AML1T MULTIPLY ARRAY IN A R MSCALAR MULTIPLY MATRIX B R C=l SIZE 2X2 BY ARRAY IN B R=l C=3 PUT IN R=l C=9

C=3 SIZE 2X2 BY THE SCALER = -2.0 PUT IN R=l C=ll AADD ADD ARRAY IN R=l C=9 SIZE 2X2 TO ARRAY IN R=l C=ll SIZE 2X2 PUT IN R=l C=13 ARAISE EVERY TERM OF ARRAY IN R=l C=l SIZE 2X2 BY THE POWER 2.0 PUT IN R=l C=15 MSCALAR MULTIPLY MATRIX R=l C=l SIZE 2X2 BY THE SCALER = -2.0 PUT IN R=l C=17

.ADIVIDE DIVIDE ARRAY IN R=l C=15 SIZE 2X2 BY ARRAY IN R=l C=17 PUT IN R=l C=19 AMULTIPLY ARRAY B ROW 1 COL 3 SIZE 2X2 BY THE VALUE 2.0 PUT IN ROW 1 COL 21 ADEFINE EVERY TERM OF ARRAY J IN RO* 1 COL 23 SIZE 2X2 IS SET = 1.0 ADIV DIVIDE ARRAY E IN R=l C=ll SIZE 2X2 BY ARRAY J IN R=l C=21 PUT IN R=l C=25

SPACE 2 RESET NRMAX EQUAL TO 2

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM 4 TO 2.

NOTE ARRAYS

SPACE NOTE A B D=A*B E=-2*B

SPACE FORMAT C (8F10.2) NPRINT C FORMAT. COLUMNS 1, 2. 3, 4, 9, 10. 11 AND 12 SPACE 2 NOTE ARRAYS

SPACE NOTE F=D-E G=A**2 H=-2*A I=G/H SPACE FORMAT B (8F10.2)

292
OMNITAB 80 TEST F6 ARRAY AND MATRIX INSTRUCTIONS. (10.1), (10.2), (11.1), (11.3) PAGE 3

LIST OF DATA, INSTRUCTIONS AND DIAGNOSTICS

NPRINT B FORMAT, COLUMNS 13***20 ROWSUM COLUMNS 13***26 AND STORE IN COLUMN 27 SET THE FOLLOWING VALUES IN COLUMN 28 8.0 3.0 SUBTRACT COLUMN 27 FROM COLUMN 28 AND STORE IN COLUMN 28 AVERAGE COLUMN 28 AND STORE IN COLUMN 27 SPACE 2 NOTE ***************************************************************************

SPACE NOTE THE FOLLOWING VALUE MUST BE EQUAL TO OR NEAR ZERO. SPACE ABRIDGE ROW 1 COLUMN 27 SPACE

NOTE ***************************************************************************

NATIONAL BUREAU OF STANDARDS. WASHINGTON, D. C. 20234 OMNITAB 80 VERSION 6.00 MARCH 2, 1981

293
OMNITAB 80 TEST F7 MATRIX INSTRUCTIONS M(AD), M(DA) AND M(V'A). (11.4) PAGE 1 THE FOLLOWING IS AN EXAMPLE OF M(AD) M(DA) AND M(V'A).

MATRIX A ROW/COL 1 2 3

1 1.00 6.00 3.00

2 2.00 3.00 2.00

3 3.00 -1.00 1.00

MATRIX B ROW/COL 4 5 6

1 3.00 .00 .00

2 .00 -2.00 .00

3 .00 .00 1.00

DIAGONAL OF MATRIX B

7 3.00 -2.00

1.00

MATRIX C=MATRIX A TIMES THE DIAGONAL OF MATRIX B. COMMAND IS M(AD).

ROW/COL 8 9 10

1 3.00 -12.00 3.00

2 6.00 -6.00 2.00

3 9.00 2.00 1.00

MATRIX D=DIAGONAL OF MATRIX B TIMES MATRIX A. COMMAND IS M(DA).

ROW/COL 11 12 13

1 3.00 18.00 9.00

2 -4.00 -6.00 -4.00

3 3.00 -1.00 1.00

***************************************************************************

THE FOLLOWING VALUE MUST BE EQUAL TO OR NEAR ZERO.

.00 ***************************************************************************

VECTOR V MATRIX A VECTOR V TIMES MATRIX A 1.00 1.00 6.00 3.00 -1.00 3.00 1.00 -1.00 2.00 3.00 2.00 .00 .00 .00

.00 3.00 -1.00 1.00 .00 .00 .00

***************************************************************************

THE FOLLOWING VALUE MUST BE EQUAL TO OR NEAR ZERO.

.00 ***************************************************************************

294
OMNITAB 80 TEST F7 MATRIX INSTRUCTIONS M(AD), M(DA) AND M(V'A). (11.4) PAGE 2

LIST OF DATA, INSTRUCTIONS AND DIAGNOSTICS

READ THE FOLLOWING DATA INTO COLUMNS 1***7

1.0 6.0 3.0 3.0 0.0 0.0 3.0 2.0 3.0 2.0 0.0 -2.0 0.0 -2.0

3.0 -1.0 1.0 0.0 0.0 1.0 1.0

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM TO 3.

M(AD) POST MULT A IN R=l C=l SIZE 3X3 WITH D WHOSE DIAG IS IN COL 7 PUT R=l C= 8 M(DA) PRE MULT A IN R=l C=l SIZE 3X3 WITH D WHOSE DIAG IS IN COL 7 PUT R=l C= 11 TITLE1 THE FOLLOWING IS AN EXAMPLE OF M(AD) M(DA) AND M(V'A). NEW PAGE SPACE NOTE MATRIX A FIXED PRINT DATA WIHT 2 DECIMAL DIGITS MPRINT MATRIX IN ROW 1 OF COL 1 SIZE 3X3 SPACE 2 NOTE MATRIX B DIAGONAL OF MATRIX B MPRINT MATRIX IN ROW 1 OF COL 4 SIZE 3X4 SPACE 2 NOTE MATRIX C=MATRIX A TIMES THE DIAGONAL OF MATRIX B. COMMAND IS M(AD). MPRINT MATRIX C IN ROW 1 OF COL 8 SIZE 3X3 SPACE 2 NOTE MATRIX D=DIAGONAL OF MATRIX B TIMES MATRIX A. COMMAND IS M(DA). MPRINT MATRIX D IN ROW 1 OF COL 11 SIZE 3X3 MMULT MULTIPLY A IN R=l C=l SIZE 3X3 BY B IN R= 1 C=4 SIZE 3X3 PUT IN R=l C=14 MMULTIPLY B IN R=l C=4 SIZE 3X3 BY A IN R=l C=l SIZE 3X3 PUT IN R=l C=17

MSUB MATRIX IN R=l C=8 SIZE 3X3 MINUS MATRIX IN R=l C=14 SIZE 3X3 PUT IN 1,20 MSUB MATRIX IN R=l C=ll SIZE 3X3 MINUS MATRIX IN R=l C=17 SIZE 3X3 PUT IN 1,23 ROWSUM COLUMNS 20***25 AND STORE IN COLUMN 26 AVERAGE COLUMN 26 AND STORE IN COLUMN 26 SPACE 2 NOTE ***************************************************************************

SPACE NOTE THE FOLLOWING VALUE MUST BE EQUAL TO OR NEAR ZERO. SPACE ABRIDGE ROW 1 OF COLUMN 26 SPACE NOTE ***************************************************************************

SET THE FOLLOWING VALUES IN COLUMN 27 1.0 -1.0 0.0

M(V'A) PRE MULT A IN R=l C=l SIZE 3X3 BY TRANS OF V IN COL 27 PUT IN R=l C=28 SPACE

NOTE VECTOR V MATRIX A VECTOR V TIMES MATRIX A FORMAT C (F8.2,6F8.2) NPRINT C FORMAT, COLUMNS 27, 1, 2, 3, 28, 29 AND 30 SPACE ROWSUM COLUMNS 28, 29 AND 30 AND STORE IN COLUMN 31 SUB 3.0 FROM COLUMN 31 AND STORE IN COLUMN 32 SPACE 2

295
OMNITAB 80 TEST F7 MATRIX INSTRUCTIONS M(AD), M(DA) AND M(V'A). (11.4) PAGE 3

LIST OF DATA, INSTRUCTIONS AND DIAGNOSTICS

NOTE ***************************************************************************

SPACE

NOTE THE FOLLOWING VALUE MUST BE EQUAL TO OR NEAR ZERO. SPACE ABRIDGE ROW 1 OF COLUMN 32 SPACE

NOTE ***************************************************************************

NATIONAL BUREAU OF STANDARDS. WASHINGTON, D. C. 20234 OMNITAB 80 VERSION 6.00 MARCH 2, 1981

296
OMNITAB 80 TEST F8 EXAMPLES OF MATRIX INSTRUCTIONS M(XAX') AND M(X'AX). (11.4) PAGE 1 THE FOLLOWING IS AN EXAMPLE OF M(XAX') AND M(X'AX).

MATRIX A MATRIX X MATRIX X'

1.00 3.00

2.00 -4.00

.00 .00

-2.00

-1.00 3.00

.00 5.00

1.00

-2.00 -2.00

.00 .00

.00 -2.00

-1.00 3.00

5.00 1.00

.00 .00

MATRIX B=XAX'

(X IS 3 BY 2, A IS 2 BY 2) MATRIX C=X'AX

(X IS 2 BY 3, A IS 2 BY 2)

4.0000000 -28.000000 -12.000000 10.000000 -10.000000 8 . 0000000

18.000000 -124.00000 4.0000000 0. -100.00000 -20.000000

10.000000 20.000000 20.000000 10.000000 -30.000000 4.0000000

THE FOLLOWING VALUE MUST BE EQUAL TO OR NEAR ZERO.

•ft*************************************************************************

297
OMNI TAB 80 TEST F8 EXAMPLES OF MATRIX INSTRUCTIONS M(XAX') AND M(X'.AX). (11.4) PAGE 2

LIST OF DATA, INSTRUCTIONS AND DIAGNOSTICS

DIM DIMENSION WORKSHEET SIZE 3 ROWS BY 26 COLUMNS

READ MATRIX A INTO COLS 13 AND 14, MATRIX X INTO 15***17, X TRANSPOSE IN 18***20

1.0 3.0 -2.0 0.0 -2.0 -2.0 -1.0 3.0

2.0 -4.0 -1.0 5.0 0.0 0.0 5.0 1.0 0.0 0.0 3.0 1.0 0.0 -2.0 0.0 0.0

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM TO 3.

M(XAX') PREMLIT A (1,13) SIZE 2X2 BY X (1,15) SIZE 3X2 POST MULT BY X' STORE 1.1 M(X'.AX) PREMLIT A (1.13) SIZE 2X2 BY X' (1,15) SIZE 2X3 POST MULT BY X STORE 1.4 MMULT X IN ROW 1 COL 15 SIZE 3X2 BY A ROW 1 COL 13 SIZE 2X2 PLT IN ROW 1 COL 21 MMULT XA IN R=l C=21 SIZE 3X2 BY TRANS OF X IN R=l C=18 SIZE 2X3 PUT IN R=l C=21 MMULT TRANS OF X IN R=l C=18 SIZE 3X2 BY A IN R=l C=13 SIZE 2X2 PUT IN R=l C=24

MMULT X A IN R=l C=24 SIZE 3X2 BY X IN R=l C=15 SIZE 2X3 PLT IN R=l C=24

MSCALAR MULTIPLY THE ARRAY IN ROW 1 COL 21 SIZE 3X6 BY -1.0 PLT IN ROW 1 COL 7 TITLE1 THE FOLLOWING IS AN EXAMPLE OF M(XAX') AND M(X'AX).

NEW PAGE SPACE

NOTE MATRIX A MATRIX X MATRIX X' SPACE FORMAT D (8F8.2) NPRINT D FORMAT. COLUMNS 13***20 SPACE NOTE MATRIX B=XAX' MATRIX C=X'AX

NOTE (X IS 3 BY 2, A IS 2 BY 2) (X IS 2 BY 3, A IS 2 BY 2) SPACE 2 NPRINT COLUMNS 1***6 DIMENSION NR0W=3 NC0L=12

ROWSUM THE ENTIRE WORKSHEET AND PUT IN COLUMN 1 AVERAGE COLUMN 1 AND STORE IN COLUMN 1 SPACE 2 NOTE ***************************************************************************

SP\CE NOTE THE FOLLOWING VALUE MUST BE EQUAL TO OR NEAR ZERO. SPACE ABRIDGE ROW 1 OF COLUMN 1 SPACE

\ qt F ***************************************************************************

NATIONAL BUREAU OF STANDARDS. WASHINGTON, D. C. 20234 OMNTTAB 80 VERSION 6.00 MARCH 2, 1981

298
OMNITAB 80 TEST F9 TEMP. SCALE CONVERSION AND ATOMIC WT. (13.1) AND (13.3) CENTIGRADE FAHRENHEIT FAHR TO CENT CONVERSION FORMULAS

PAGE 1

COLUMN 1

-10.000000

-5.0000000

0.

5 . 0000000

10.000000

15.000000 20.000000

25.000000

30.000000

35.000000

40.000000

45.000000

50.000000 60.000000

70.000000

80.000000 90.000000

100.00000

COLUMN 1

1

14.000000

23 . 000000

32 . 000000 41.000000

50.000000

59.000000

67.999999

76.999999

85.999999 94.999999

104.00000

113.00000

122.00000

140.00000 158.00000

176.00000

194.00000 212.00000

COLUMN 12

-9.9999996

-4.9999997

0.4.9999997 9.9999996

15.000000

19.999999 24.999999

29.999999

35.000000

40.000000

45.000000

50.000000

59.999999 69.999999

79.999999

89.999999 99.999999

COLUMN 14

14.000000 23.000000

32 . 000000 41.000000

50.000000

59.000000

67.999999

76.999999

85.999999 94.999999

104.00000

113.00000

122.00000

140.00000

158.00000

176.00000

194.00000 212.00000

COLUMN 24

-9.9999996

-4.9999997

0.4.9999997

9.9999996

15.000000

19.999999 24.999999

29.999999

34.999999

39.999999 44.999999

49.999999

59.999999

69.999998

79.999998

89.999998 99.999998

***************************************************************************

THE FOLLOWING VALUES MUST BE EQUAL TO OR NEAR ZERO.

*-5. 3644180-07 0. *-8. 5433324-07 ***************************************************************************

299
OMNITAB 80 TEST F9 TEMP. SCALE CONVERSION AND ATOMIC WT. (13.1) AND (13.3) PAGE

ELEM. NO. ATOMIC WT. ELEMENT

5. 10.81000 BORON

10. 20.17900 NEON

15. 30.97376 PHOSPHORUS

20. 40 . 08000 CALCIUM

25. 54.93800 MANGANESE

30. 65.38000 ZINC

35. 79 . 90400 BROMINE

40. 91.22000 ZIRCONIUM

45. 102.90550 RHODIUM

50. 118.69000 TIN

55. 132.90540 CESIUM

60. 144.24000 NEODYMIUM

65. 158.92540 TEBIUM

70. 173.04000 YTTERBIUM

75. 186.20000 RHENIUM

80. 200.59000 MERCURY

85. 210.00000 ASTATINE

90. 232.03810 THORIUM

95. 243 . 00000 AMERICIUM

100. 253.00000 FERMIUM

300
OMNITAB 80 TEST F9 TEMP. SCALE CONVERSION AND ATOMIC WT. (13.1) AND (13.3) PAGE 3

LIST OF DATA, INSTRUCTIONS AND DIAGNOSTICS

GENERATE FROM -10. IN STEPS OF 5. THRU 50. AND STEPS OF 10. THRU 100. IN COL 1

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM TO 18.

CTOF CONVERT CELSIUS IN COL 1 TO FAHRENHEIT AND PUT IN COL 11 FTOC CONVERT FAHRENHEIT IN COL 11 TO CELSIUS AND PUT IN COL 12 SUBTRACT COL 1 FROM COL 12 STORE IN COL 13 MULTIPLY COL 1 BY 1.8 MULT BY 1.0 ADD 32. STORE IN COL 14 DIV 5. BY 9. STORE IN COLUMN 8 SUBTRACT 32.0 FROM COL 11 MULT BY COL 8 ADD 0.0 STORE IN COL 24 SUBTRACT COL 1 FROM COL 24 STORE IN COL 25 TITLE1 CENTIGRADE FAHRENHEIT FAHR TO CENT CONVERSION

TITLE2 FORMULAS

PRINT COLS 1, 11, 12, 14 AND 24 SUBTRACT COL 11 FROM COL 14 STORE IN COL 15 AVERAGE COL 15 STORE IN COL 15 AVERAGE COL 13 STORE IN COL 13 AVERAGE COL 25 STORE IN COL 25 SPACE 2 NOTE ***************************************************************************

SPACE NOTE THE FOLLOWING VALUES MUST BE EQUAL TO OR NEAR ZERO. SPACE ABRIDGE ROW 1 OF COLS 13, 15 AND 25 SPACE NOTE ***************************************************************************

ERASE

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM 18 TO 0.

ATOMIC MASSES OF ALL ELEMENTS STORE RESULTS IN COL 61

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM TO 103.

GENERATE FROM 1. IN STEPS OF 1. THRU *NRMAX* IN COL 2 SEPARATE COL 61 EVERY 5TH ROW START WITH ROW 5 STORE IN COL 3 SEPARATE COL 2 EVERY 5TH ROW START WITH ROW 5 STORE IN COL 4 RESET NRMAX TO 20

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM 103 TO 20.

FORMAT E (4A3) READ E FORMAT, NEXT 20 LINES IN COLS 5, 6, 7 AND 8 20 DATA CARD(S) READ BUT NOT LISTED

TITLE1 TITLE2

301
OMNITAB 80 TEST F9 TEMP. SCALE CONVERSION AND ATOMIC WT. (13.1) AND (13.3) PAGE 4

LIST OF DATA, INSTRUCTIONS AND DIAGNOSTICS

NEW PAGE NOTE ELEM. NO. ATOMIC WT. ELEMENT

SPACE FORMAT D (2X,F5.0,3X,F12.5,5X,4A3)

NPRINT D FORMAT, COLS 4, 3, 5, 6, 7 AND 8

NATIONAL BUREAU OF STANDARDS. WASHINGTON, D. C. 20234 OMNITAB 80 VERSION 6.00 MARCH 2, 1981

302
OMNITAB 80 TEST F10 PHYSICAL CONSTANTS. (13.2) CENTI METER-GRAM-SEC SYSTEME- I NTERNATI ONALE

CGS SI

PAGE 1 PHYSICAL CONSTANTS

PI 3.141593+000 3.141593+000

E 3.521976+000 3.521976+000

C 2.997925+010 2.997925+008

Q

1.602100-020 1.602100-019

N 6.022520+023 6.022520+023

ME 9.109100-028 9.109100-031

MP 1.672520-024 1.672520-027

F 9.648700+003 9.648700+004

H 6.625600-027 6.625600-034

ALPHA 7 . 297200-003 7.297200-003

QME 1.758796+007 1.758796+011 RINF 1.097373+005 1.097373+007 GAMMA 2.675190+004 2.675190t008

MUB 9.273200-021 9.273200-024

R 8.314300+007 8.314300+000

K 1.380540-016 1.380540-023

CONE 3.741500-005 3.741500-016 CTTO 1.438790+000 1.438790-002

SIGMA 5 . 669700-005 5 . 669700-008

G 6.670000-008 6.670000-011

PIBASE OF NATURAL LOGS SPEED OF LIGHT IN VACUUM ELEMENTARY CHARGE AVOGADRO CONSTANT

ELECTRON REST MASS PROTON REST MASS FARADAY CONSTANT

PLANCK CONSTANT

FINE STRUCTURE CONSTANT

CHARGE TO MASS RATIO FOR ELECTRON

RYDBERG CONSTANT

GYROMAGNETIC RATIO OF PROTON (CORRECTED FOR H20) BOHR MAGNETON

GAS CONSTANT

BOLTZMANN CONSTANT

FIRST RADIATION CONSTANT

SECOND RADIATION CONSTANT STEPHAN-BOLTZMANN CONSTANT GRAVITATIONAL CONSTANT

303
OMNITAB 80 TEST F10 PHYSICAL CONSTANTS. (13.2)

LIST OF DATA, INSTRUCTIONS AND DIAGNOSTICS

PAGE

CGS USE PHYSICAL CONSTANTS IN CGS (CENTIMETER-GRA.M-SECOND) SYSTEM RESET NRMAX TO 1

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM TO 1.

ADD *PI* TO 0.0 STORE IN 3 ADD *E* TO 0.0 STORE IN 4 ADD *C* TO 0.0 STORE IN 5 ADD *Q* TO 0.0 STORE IN 6 ADD *N* TO 0.0 STORE IN 7 ADD *ME* TO 0.0 STORE IN 8 ADD *MP* TO 0.0 STORE IN 9 ADD *F* TO 0.0 STORE IN 10 ADD *H* TO 0.0 STORE IN 11 ADD *ALPHA.* TO 0.0 STORE IN 12 ADD *QME* TO 0.0 STORE IN 13 ADD *RINF* TO 0.0 STORE IN 14 ADD * GAMMA * TO 0.0 STORE IN 15 ADD *MUB* TO 0.0 STORE IN 16 ADD *R* TO 0.0 STORE IN 17 ADD *K* TO 0.0 STORE IN 18 ADD *CONE* TO 0.0 STORE IN 19 ADD *CTWO* TO 0.0 STORE IN 20 ADD *SIGMA * TO 0.0 STORE IN 21 ADD *G* TO 0.0 STORE IN 22 MTRANSPOSE; vector : tN ROW 1 OF COL 3 SIZE 1X20 PUT IN ROW

SI USE PHYSICAL CONSTANTS I?1 SYSTEME INTERNATIONAL

ADD *PI* TO 0.0 STORE DI 3 ADD *E* TO 0.0 STORE IN 4 ADD *C* TO 0.0 STORE IN 5 ADD *Q* TO 0.0 STORE IN 6 ADD *N* TO 0.0 STORE IN 7 ADD *ME* TO 0.0 STORE IN 8 ADD *MP* TO 0.0 STORE IN 9 ADD *F* TO 0.0 STORE IN 10 ADD *H* TO 0.0 STORE IN 11 ADD *ALPHA * TO 0.0 STORE IN 12 ADD *QME* TO 0.0 STORE IN 13 ADD *RINF* TO 0.0 STORE IN 14 ADD *GAMMA * TO 0.0 STORE IN 15 ADD *MUB* TO 0.0 STORE IN 16 ADD *R* TO 0.0 STORE IN 17 ADD *K* TO 0.0 STORE IN 18 ADD *CONE* TO 0.0 STORE IN 19 ADD *CTW'0* TO 0.0 STORE IN 20 ADD *SIGMA * TO 0.0 STORE IN 21 ADD *G* TO 0.0 STORE IN 22

1 OF COL 1

MTRANSPOSE VECTOR IN ROW FORMAT F (2A3,4X,16A3)

1 OF COL 3 SIZE 1X20 PLT IN ROW 1 OF COL 2

304
OMNITAB 80 TEST F10 PHYSICAL CONSTANTS. (13.2) PAGE

LIST OF DATA, INSTRUCTIONS AND DIAGNOSTICS

READ F FORMAT, 20 LINES INTO COLS 3 *** 20

* INFORMATIVE DIAGNOSTIC FOR THE ABOVE INSTRUCTION - NRMAX HAS BEEN RESET FROM 1 TO 20.

20 DATA CARD(S) READ BUT NOT LISTED

FORMAT B (5X,2A3,5X,1PE15.6,8X,E15.6,10X,16A3)

TITLE1 CENTIMETER-GRAM-SEC SYSTEME-INTERNATIONALE

TITLE2 PHYSICAL CONSTANTS

TITLE3 CGS SI PRINT B COLS 3,4 1,2 5***20

STOP

NATIONAL BUREAU OF STANDARDS. WASHINGTON, D. C. 20234 OMNITAB 80 VERSION 6.00 MARCH 2, 1981

305
Index Of OMNITAB Commands Used

* Command is used in more than three test problems; only first three uses are listed.

AADD 292 BETA DENSITY 156 CORRELATION 130 AAVERAGE 224 BETA RANDOM 179 COS *2,6,43 ABRIDGE *1 1 , 33 , 35 BINOMIAL CUMULATIVE 170 COSD 47,82 ABRIDGE A 280 BINOMIAL DENSITY 156 COSH 51 ABRIDGE C 285 BINOMIAL PERCENTILE 170 COS INTEGRAL 191 ABRIDGE D 277 BINOMIAL RANDOM 179 COT 43 ABRIDGE F 289 BIONE 233 COTD 47 ABS 37 B I ZERO 233 COTH 51 ABSOLUTE 43 BJONE 194 ,233 COUNT 91,267 ACCURACY 43,212 BJZERO 194,233 ,245 CPLOT 2 ACOALESCE 224 BKONE 233 CPOLAR 65 ACOS 43 BKZERO 233 CRECTANGULAR 65 ACOSD 48 BOLD I STR I BUT I ON 254 CSUBTRACT 64 ACOSH 51 BRIEF 108 CTOF 301 ACOT 43 BYONE 233 DAYS 58 ACOTD 48 BYZERO 233 DEFINE * 37,54,91 ACOTH 51 CADD 64 DELETE 93 ADD *6, 1 1 ,33 CAUCHY CUMULATIVE 162 DEMOTE . 67 ADEFINE 292 CAUCHY DENSITY 162 DEXPONENTIAL CUMULATIVE ADIV 292 CAUCHY PERCENTILE 162 DEXPONENTIAL DENSITY 162 ADIVIDE 292 CAUCHY PLOT 30 DEXPONENTIAL PERCENTILE 162 AERASE 292 CAUCHY RANDOM 179 DEXPONENTIAL PLOT 30 ALABEL 220 CDIVIDE 64 DEXPONENTIAL RANDOM 179 AMOVE 71 CEIONE 241 DIFFERENCES 204 AMULT 292 CEIZERO 241 DIM 298 AMULTIPLY 292 CEKONE 241 DIMENSION •29 ,161,166 ANT I LOG 37 CEKZERO 241 DIV 245,301 APR INT 221 CENSOR 77 DIVDIFFERENCES 204

APR INT A 286 CENSOR EQ 78 DIVIDE * 37,56,98 APRINT E 287 CENSOR GE 78 DUPLICATE 267 APROPERTIES 220 CENSOR GT 78 EEXP INTEGRAL 191 ARAISE 292 CENSOR LE 78 EINSTEIN 252 ASIN 43 CENSOR LT 78 EINTEGRAL 191 ASIND 48 CENSOR NE 78 ELLIPTICAL FIRST 184 ASINH 51 CERF 186 ELLIPTICAL SECOND 184 ASUB 67,71 CGS 304 ERASE 92 ,209,252 ASUBTRACT 220 CHANGE 35 ERROR 186 ATAN 43 CHISQUARED CUMULATIVE 174 ESPANOL 263 ATAND 48 CHISQUARED PERCENTILE 174 EVALUATE 43 ATANH 51 CHISQUARED RANDOM 179 EXCHANGE 69 ATOMIC 301 CHOOSE 91 EXECUTE 245,253 ATRANSPOSE 221 CIONE 240 EX I ONE 233 AVERAGE •43,47,51 CI ZERO 240 EX I ZERO 233 AZERO 222 CKONE 240 EXKONE 234 BEGIN 199,212 CKZERO 240 EXKZERO 233 BESIN 245 CLOSE UP 267 EXP 37 BESJN 245 CMULTIPLY 65 EXPAND 60 BESKN 245 CODE 98 EXPINTEGRAL 191 BESTCP 278 COMPARE 290 EXPONENTIAL 191,246 BETA CUMULATIVE 175 CONTINGENCY 134 EXPONENTIAL CUMULATIVE 162

306
EXPONENTIAL DENSITY 162 EXPONENTIAL PERCENTILE 162 EXPONENTIAL PLOT 30 EXPONENTIAL RANDOM 179 EXTREME CUMULATIVE 166 EXTREME DENSITY 156 EXTREME PERCENTILE 167 EXTREME PLOT 30 EXTREME RANDOM 179

F CUMULATIVE 174

F PROBABILITY 109,175

F RANDOM 179 FINISH 199,212 FIT 276 FIXED *48,58,156 FLEXIBLE 286 FLIP 78 FLOATING 156,227 FORMAT A 280,286 FORMAT B 285,292,305 FORMAT C *268,285,292

FORMAT D *268,276,285 FORMAT E 287,301 FORMAT F 289,304 FOURPLOTS 9 FRACTIONAL 37 FREQUENCY 108 FTOC 301 FULL 108 GAMMA 188 GAMMA CUMULATIVE 166 GAMMA PERCENTILE 166 GAMMA PLOT 30 GAMMA RANDOM 179 GAUSS QUADRATURE 215 GENERATE *2,6,33 GEOMETRIC CUMULATIVE 170 GEOMETRIC DENSITY 156 GEOMETRIC PERCENTILE 170 GEOMETRIC RANDOM 179 HALFNORMAL CUMULATIVE 162 HALFNORMAL DENSITY 156 HALFNORMAL PERCENTILE 162 HALFNORMAL PLOT 30 HALFNORMAL RANDOM 179 HARMONIC 280 HCOS INTEGRAL 191 HEAD *82, 115, 149 HERMITE 200 HIERARCHY 85 HISTOGRAM 109 HSININTEGRAL 191 IFEQ 37 IFGE 289

IFGT 289

IFLE 290

IFLT 289

IFNE INCREMENT

INSERT INTEGER INTERPOLATE

I NTJO

INVERT

I SETUP

ISOLATE

ITERATE

KB I ONE

KB I ZERO

KBKONE KBKZERO

KEXIONE KEXIZERO

KEXKONE KEXKZERO

LABEL LAGUERRE

LAMBDA CUMULATIVE

LAMBDA DENSITY

LAMBDA PERCENTILE

LAMBDA PLOT

LAMBDA RANDOM LARFIT

LEGENDRE

LENGTH

LIST

LOG LOGE

37 *37,43,47

82

37 212

194 276

210

209 210

239

239

239

239

239

239

239

239 *2,6,9

199 166

166

16730

179 277

201 2,6 280

253 37,253 LOGISTIC CUMULATIVE 162 LOGISTIC DENSITY 162 LOGISTIC PERCENTILE 162 LOGISTIC PLOT 30 LOGISTIC RANDOM 179 LOGNORMAL CUMULATIVE 162 LOGNORMAL DENSITY 156 LOGNORMAL PERCENTILE 162 LOGNORMAL PLOT 30 LOGNORMAL RANDOM 179 LOGTEN 37 MADD 292 MATCH 77 MAX 101 MAXIMUM 101 MAXMIN 82 MDEFINE 292

MDI AGONAL 220,292 MEDIAN 108 MEIGEN 221 MERASE 222 MIDENTITY 220

MIN 101 MINIMUM 101 MINVERT 227,285 MKRONECKER 292

MLABEL

MMATVEC

MMOVE

MMULT MMULTIPLY

MOLWT MORTHO

MOVE MPRINT

MPRINT B MPRINT D MPROPERTIES

MRAISE

MSCALAR

MSUB MSUBTRACT

MTRANSPOSE

220

220 71,276

221,227,285

295 252

277

*69,71 , 109 227,230,277

285

285 220

227 292,298

*227,267,295

204,267

179,304 MTRIANGULARIZE 227 MULT *33, 194,200 MULTIPLY *6,33,58 MVECDIAGONAL 220 MVECMAT 220 MZERO 222 M(AD) 295 M(AV) 286

M(DA) 295 M(V'A) 295 M(XAX') 298 M(X'AX) 298 M(XX') 230 M(X'X) 230 NCPLOT 2 NEGBINOMIAL CUMULATIVE 170 NEGBINOMIAL DENSITY 156 NEGBINOMIAL PERCENTILE 170 NEGBINOMIAL RANDOM 179 NEGEINTEGRAL 191 NEGEXPONENTIAL 37 NEW PAGE *6, 37,43 NICE CPLOT 6 NICE NCPLOT 6 NICE NPLOT 6 NICE PLOT 6 NO LIST 280 NORMAL CUMULATIVE 162 NORMAL DENSITY 162 NORMAL PERCENTILE 162 NORMAL PLOT 30 NORMAL RANDOM 179 NORMLAGUERRE 199 NOTE *11 ,33,35 N0TE1 *54,109,130

N0TE2 *54,109,130

NPLOT 44 NPRINT *35, 37,43 NPRINT B 293 NPRINT C 292,295

307
NPRINT D 268, 298.302 READ C 268 STRIAE ZERO 194 STABLE AVERAGE 150 RE.AD E 301 STWOWAY 124 STABLE CPERCESTAGE 152 READ F 305 SUB 11,56,60

STABLE CPROPORTIOS 153 RECIPROCAL 47.51 SUBTRACT 33,37,47

STABLE FREQUENCY 149 RECODE 98 SUM 11,33,56

STABLE MAXIMUM 151 REPEAT 37,44,47 T CUMULATI\E 174 STABLE MEDIAN 151 REPLACE 98 T PERCENTILE 174 STABLE MINIMUM 150 RESET *47,60,71 T RANDOM! 179 STABLE PERCENTAGE 151 RESET V 11.91.240 TABLE AVERAGE 150 STABLE PROPORTION 152 RESTORE 37 TABLE CPERCESTAGE 152 STABLE RANGE 151 RETAIN 92 TABLE CPROPORTIOS 153 STABLE RPERCENTAGE 152 RMS 56 TABLE FREQUENCY 149 STABLE RPROPORTION 153 ROUND 54,191 TABLE MAXIMUM 151 STABLE STDDEV 150 ROW SUM 149,180,220 TABLE MEDIAN 151 STABLE SL"Ni 149 ROWSUM *33,35,77 TABLE MINIMUM 150 NULL 289 SAMPLE WITHOLTR 182 TABLE PERCENTAGE 151 OMIT 92 SAMPLE WITHR 182 TABLE PROPORTION 152 OMNTTAI1 *2,6,9 SAPROPERTIES 67 TABLE RANGE 151 ONEWAY 121 SCAN 276 TABLE RPERCENTAGE 152 ORDER 85 SCORRELATION 9.130 TABLE RPROPORTION 153 PAGE PLOT 44 SDIFFERENCES 204 TABLE STDDEY 150 PARETO CUMULATIVE 166 SDIVDIFFERENCES 204 TABLE SUM 149 PARETO DENSITY 156 SEARCH 77 TAN 43 PARETO PERCENTILE 167 SELECT- 77 TAND 47 PARETO PLOT 30 SEPARATE 82,301 TANH 51 PARETO RANDOM 179 SET 11,13,29 TCHEBYSHEY 199 PARPRODUCI 56 SFIT 124,277 TITLEX 2,6,44

PARSUM *56. 163,167 SHORTEN 60 TITLEY 2,6,44 PARTFUNCTION 254 SI 304 TITLE1 6,9,33

PERCESTAGES 58 SIN •2,6,43 TITLE2 33,47,60

PERFORV1 *51..54,124 SIND 47 TITLE3 13,33,54

PFATOMIC 254 SISH 51 TITLE4 33,54,64

PFTRANSLATIONAL 252 SISTNTEGRAL 191 TWOPLOTS 9 PLOT 44 SMPROPERTIES 71,220,267 TWOWAY 124 POISSOSI CUMULATIVE 170 SOLVE 285 UCHEBYSHEV 199 POISSO>1 DENSITY 156 SONEWAY 121 UNIFORM CUMULATHE 162 POISSOS: PERCENTILE 170 SORT 85 UNIFORM DENSITY 162 POISSOS1 PLOT 30 SPACE 2,6.11 UNIFORM PERCENTILE 162 POISSO^1 RANDOM 179 SPLIT PLOT 278 UNIFORM PLOT 30 POLYFH 115 SPOLYFIT 276 UNIFORM RANDOM 180 PRIST •33, ? SQRT 56,60,200 VOCABULARY 294 PRIST I1 305 SQUARE 37,47,51 WE I BULL CUMULATIVE 166 PRINT NOTE *54, 109,130 SSTATISTICAL 108 WE I BULL DENSITY 156 PRODUCT 33 SSTEM LEAF 11 WEIBULL PERCENTILE 167 PROMOTE 67,149 STATISTICAL 108 WE I BULL PLOT 30 PROPORTION'S 58 STATPLOTS 13 WEIBULL RANDOM 179 RAISE 200 STDDEY 108 WIDTH *2,6,9 RANGE 108 STEM LEAF 11 ZEROS BJONE 245 RANKS 108 STOP 305 ZEROS BJZERO 245 READ *'9,35,56 STRUYE ONE 194

308
NBS-114A (REV. 2-8C) U.S. DEPT. OF COMM. BIBLIOGRAPHIC DATA

SHEET (See instructions)

PUBLICATION OR

REPORT NO. TN 1147

2. Performing Organ. Report No. 3. Publication Date

November 1981

4. TITLE AND SUBTITLE

Test Problems and Results for OMNITAB 80

5. AUTHOR(S)

Sally T. Peavy and Shirley G. Bremer

6. PERFORMING ORGANIZATION (If joint or other than NBS. see instructions)

NATIONAL BUREAU OF STANDARDS

DEPARTMENT OF COMMERCE

WASHINGTON, D.C. 20234

7. Contract/Grant No.

8. Type of Report & Period Covered

Final

9. SPONSORING ORGANIZATION NAME AND COMPLETE ADDRESS (Street. City. State, ZIP)

same as no. 6

10. SUPPLEMENTARY NOTES

Supersedes Technical Note 552

J Document describes a computer program; SF-185, FIPS Software Summary, is attached.

11. ABSTRACT (A 200-word or less factual summary of most significant information. If document includes a significant

bibliography or literature survey, mention it here)

The lack of test problems and results for many computer software packages

is a great hindrance to both the systems programmer and the general user.

In this publication a set of 69 test problems and results for the OMNITAB

80 system is provided to assist individuals in checking the installation

of the OMNITAB 80 system on their particular computer. The general user

will also find these descriptive examples instructive in the use of the

OMNITAB 80 system.

12. KEY WORDS (Six to twelve entries; alphabetical order; capitalize only proper names; and separate key words by semicolons)

Accuracy; ANS FORTRAN; computer system installation; examples; OMNITAB 80;

software; test problems.

13. AVAILABILITY

[~X~1 Unlimited

| | For Official Distribution. Do Not Release to NTIS

[X~| Order From Superintendent of Documents, U.S. Government Printing Office, Washington, D.C.

20402.

^] Order From National Technical Information Service (NTIS), Springfield, VA. 22161

14. NO. OF

PRINTED PAGES

316

15. Price

*U.S. GOVERNMENT PRINTING OFFICE: 1981—357-609/9992 $8.50



NBS TECHNICAL PUBLICATIONS

PERIODICALS

JOURNAL OF RESEARCH—The Journal of Research of the National Bureau of Standards reports NBS research and develop- ment in those disciplines of the physical and engineering sciences in which the Bureau is active. These include physics, chemistry,

engineering, mathematics, and computer sciences. Papers cover a broad range of subjects, with major emphasis on measurement

methodology and the basic technology underlying standardization. Also included from time to time are survey articles on topics

closely related to the Bureau's technical and scientific programs. As a special service to subscribers each issue contains complete

citations to all recent Bureau publications in both NBS and non- NBS media. Issued six times a year. Annual subscription: domestic

$16; foreign $20. Single copy, $3.75 domestic; $4.70 foreign. NOTE: The Journal was formerly published in two sections: Section A "Physics and Chemistry" and Section B "Mathematical

Sciences." DIMENSIONS/NBS—This monthly magazine is published to in- form scientists, engineers, business and industry leaders, teachers, students, and consumers of the latest advances in science and

technology, with primary emphasis on work at NBS. The magazine

highlights and reviews such issues as energy research, fire protection, building technology, metric conversion, pollution abatement,

health and safety, and consumer product performance. In addition, it reports the results of Bureau programs in measurement

standards and techniques, properties of matter and materials, engineering standards and services, instrumentation, and

automatic data, processing. Annual subscription: domestic $11; foreign $13.75. NONPERIODICALS

Monographs—Major contributions to the technical literature on

various subjects related to the Bureau's scientific and technical activities. Handbooks—Recommended codes of engineering and industrial practice (including safety codes) developed in cooperation with in- terested industries, professional organizations, and regulatory

bodies. Special Publications—Include proceedings of conferences sponsored by NBS, NBS annual reports, and other special publications

appropriate to this grouping such as wall charts, pocket cards, and

bibliographies.

Applied Mathematics Series—Mathematical tables, manuals, and

studies of special interest to physicists, engineers, chemists,

biologists, mathematicians, computer programmers, and others engaged in scientific and technical work.

National Standard Reference Data Series—Provides quantitative data on the physical and chemical properties of materials, compiled from the world's literature and critically evaluated. Developed under a worldwide program coordinated by NBS under

the authority of the National Standard Data Act (Public Law

90-396).

NOTE: The principal publication outlet for the foregoing data is the Journal of Physical and Chemical Reference Data (JPCRD)

published quarterly for NBS by the American Chemical Society

(ACS) and the American Institute of Physics (AIP). Subscriptions,

reprints, and supplements available from ACS, 1 155 Sixteenth St., NW, Washington, DC 20056.

Building Science Series—Disseminates technical information developed at the Bureau on building materials, components,

systems, and whole structures. The series presents research results,

test methods, and performance criteria related to the structural and

environmental functions and the durability and safety characteristics of building elements and systems.

Technical Notes—Studies or reports which are complete in themselves but restrictive in their treatment of a subject. Analogous to monographs but not so comprehensive in scope or definitive in treatment of the subject area. Often serve as a vehicle for final reports of work performed at NBS under the sponsorship of other government agencies.

Voluntary Product Standards—Developed under procedures

published by the Department of Commerce in Part 10, Title 15, of

the Code of Federal Regulations. The standards establish nationally recognized requirements for products, and provide all concerned interests with a basis for common understanding of the

characteristics of the products. NBS administers this program as a supplement to the activities of the private sector standardizing

organizations. Consumer Information Series—Practical information, based on NBS research and experience, covering areas of interest to the con- sumer. Easily understandable language and illustrations provide

useful background knowledge for shopping in today's tech- nological marketplace. Order the above NBS publications from: Superintendent of Documents, Government Printing Office, Washington, DC 20402. Order the following NBS publications—FIPS and NBSIRs—from

the National Technical Information Services, Springfield, VA 22161

Federal Information Processing Standards Publications (FIPS

PUB)—Publications in this series collectively constitute the Federal Information Processing Standards Register. The Register

serves as the official source of information in the Federal Govern- ment regarding standards issued by NBS pursuant to the Federal Property and Administrative Services Act of 1949 as amended,

Public Law 89-306 (79 Stat. 1127), and as implemented by Executive Order 11717(38 FR 12315, dated May 11, 1973) and Part 6 of Title 15 CFR (Code of Federal Regulations).

NBS Interagency Reports (NBSIR)—A special series of interim or

final reports on work performed by NBS for outside sponsors

(both government and non-government). In general, initial dis- tribution is handled by the sponsor; public distribution is by the National Technical Information Services, Springfield, VA 22161,

in paper copy or microfiche form.
U.S. DEPARTMENT OF COMMERCE

National Bureau of Standards

Washington. D.C. 20234

OFFICIAL BUSINESS

Penalty for Private Use. S300

POSTAGE AND FEES PAID

U.S. DEPARTMENT OF COMMERCE COM-21 5

SPECIAL FOURTH-CLASS RATE BOOK