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1sL.1L. NATIONAL BUREAU OF STANDARDS REPORT

NBS PROJECT NBS REPORT

1103=40-51X8 1—October 1955 4374

Progress Report for -July—September 1855

on

Research la Applications of Mathematical Statistics to

Problems of the Chemical Corps

(IBS Project X103~4©~5XX8)

<NBS>

U. S. DEPARTMENT OF COMMERCE

NATIONAL BUREAU OF STANDARDS

The publication, repr

unless permission Is ol

25, D, C. Such permi

cal ly prepared if tha

Approved for public release by the

director of the National Institute of

Standards and Technology (NIST) on October 9, 2015

i part, is prohibited

idards, Washington

>rt has been specifiort for its own use,
A

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Progress Eeport for July-Septenber 1955

on

Research in Applications of Mathematical Statistics to

Problems of the Chemical Corps

(NBS Project 1103-40-5118)

This report contains a summary of the work done during

the quarter o Results of this work are briefly stated-. Technical report© written in connection with this project are

mentioned but are transmitted separately

„

I I Fractional Replication Designs

The catalogs© of fractional replicated designs of the 2

n

series has extended to a 63 13, 14, 15, 1© factors, and

to fractional replicates of 1/64, 1/128, 1/25© of a full

factorial , Thee© results are being combined with those of

MBS Report 3481 for publication in the IBS Applied Mathematics

Series 0 3 w c.oL~ot«^v\edL /up, $

Ctpcn-X 44<l

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n

fysvit-S! j£n, V? ~ / l(j JI£ (t^t (^~J, fc

e' A sj*&l 1 1 St/vt^ S S lip Combining Statistical Tests of Significance ““ A manuscript on Tf Exact Tests of Significance for Combining

Intra- and Inter-block Information 69 has been written for submission to a technical journalc The SBAC code for computing the

power of these tests is 'Be^rty. completed r~ r*

\? aJ U <VC/—|-

I I I o Computat!on Methods for the Ana lysis of Variance

The method for analysis proposed in MBS Report 325© has

10 been programmed for IBM machines,. The analysis of a 2; factorial will fee run on the 604 as a test problem to check the

t i me 1 nv,o 1 A- *

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IV° Bio-Assay Tables

A code for competing ’^C !J v7^ ^ )

CD

2

d*®!

-h.d

© h

=“^r=

®t log d

.-i/2 «,

» <55© dt

lift s been written for SEAC and^the cod® cheeked .-. A note describing

the features of the cod© is being writ ten e-^t.4 tu.,

Vi, Programming the Calculation of Probabilities Associated

~irns~wir?ir*wXttiro^

The usual formulas for computing p £ T > Tn J 9 where T

is an observed value of some statistic such as t« Fo X2

o

etc o

are not in the best foia for computation,, Some work has been

done on seeking sm alternate formula for the mechanization of

such computations « A met© giving a number of alternate formulas

i fx» jSjtcfo tX, 3sgK****~£<sx

*\f

has been prepared and <fc»HfflftttinsHaeme-- analysis of- -the—error- -imy r / “i vol;f.ed—tf only"a few terms are used* Tb©_ formula for pf F-- > -F J

adLll. ba coded £or..l^i»

> Hiscellaneoui

A number of miscellaneous advisory activities were performed

this quarter A ^