Approved For Release 2003/04/18
: CIA-RDP96-00787R0002001 50009-7
The typical
test pattern used was six passes followed by 25 choices
of one color,
repeating this for each
of
the four colors.
In
this way
each of
the five keys other than reset were given approximately equal
use.
Typically,
2000 to 6000 trials were made
in each sitting.
In the
absence
of
any unusual
results
in the randomness
tests,
a minimum of
10,000 trials were made before using
a machine with experimental subjects.
With 10,000 trials,
the expected fraction of repeats
is
0.25 with a
standard deviation of 3/200 = 0.00866.
A computer listing of the results
of randomness tests
is included
in Table
1.
No significant departures from randomness
were, observed.
Subject Data
Data was collected from subjects
Si through
S6
.
Each subject was
asked
to complete
100 25-trial runs
(i.e.,'a total of 2500 trials each).
The results
are tabulated in Table
2.
(One subject,
S3,
declined
to
complete
the 2500-trial
run,
indicating
a
lack of
rapport with the
machine
and,
hence,
a lack of motivation for the task.)
For the six
subjects,
only one
(S2)
scored significantly above chance.
For the
2500 trials
that subject averaged 29.36 hits/100 trials rather than the
expected 25/100,
a result whose
a priori probability under the null
-7
hypothesis
is
p
= 3x10
.
His scores are plotted
in Figure
12.
The statistics of
the machine during the successful run of subject
S2 were tabulated for the entire 3488 machine transitions
(2500 choices.
Approved For Release 2003/04/18
: CIA-RDP96-00787R0002001 50009-7
Approved For Release 2003/04/18
: CIA-RDP96-00787R0002001 50009-7
Table
PRE-EXPERIMENT RANDOMNESS TESTS
Diagonal
transitions
as
a function
of key press
Buttons
Number
of
Trials
Chi-Sq
Binom.
Prob
Yellow
Green
Blue
Red
Initial states
107
116
113
128
464
1.996
0.57
Transitions
Y
728
764-
765
790
3047
2.573
0.46
V
G
777
784
.
773
863
3197
6.745
0 . 08
\t°
From!
B
776
796
810
773
3155
1.158
0.76
R
787
852
803
805
3247
2.877
0.41
All states
3175
3312
3264
3359
13110
5.667
0.18
Nondiagonal
transitions
2340
2412
2341
2426
9519
2.630
0.45
Diagonal
transitions
728
784
810
805
3127
5.414
'0.15
Key
Yellow
Green
Blue
Red
Pass
All
N-Trials
2774
2755
2761
2742
1614
12646
Repeats
705
674
706
667
375
3127
Ratio
0.2541
0.2446
0.2557
0.2433
0.2323
0.2473
Bionomial
Prob
0.313
0.748
0.250
0.793
0.953
0.763
Randomness
in groups
of
100
trials:
Chi-sq.
= 299.6141
D.F.
= 345
Prob.
= 0.9628
Approved For Release 2003/04/18
: CIA-RDP96-00787R0002001 50009-7
Approved For Release 2003/04/18
: CIA-RDP96-00787R0002001 50009-7
TABLE
FOUR-STATE ELECTRONIC RANDOM NUMBER GENERATOR
'
MEAN SCORE/100 TRIALS
BINOMIAL
SUBJECT
OVER 2500 TRIALS
PROBABILITY
SI
25.76
0.22
S2
29.36
3 x
10'
S3
24.67
(750
trials)
0.60
S4
25.76
0.22
S5
25.20
0.42
S6
25.40
0.33
S7
(replication)
. 88
4.8 x
All trials
26.47
(15750 trials)
1.1 x
Approved For Release 2003/04/18 :CIA-RDP96-00787R0002001 50009-7
Approved For Release 2003/04/18
: CIA-RDP96-00787R0002001 50009-7
TABLE
MID-EXPERIMENT RANDOMNESS TESTS
BUTTONS
Number
of
Trials
Chi-Sq
Binom.
Prob
Yellow
Green
Blue
Red
Initial States
100
0.880
>0.80
Transitions
Y
204
199
199
216
818
0.944
>0.80
To
G ill
192
223
222
207
844
3.043
>0.30
From
B
/
212
207
226
222
867
1.064
>0.70
R
209
207
222
221
859
0.860
>0
. 8Q
All States
841
865
892
890
3488
1.988
>0.50
Nondiagonal
-
Transitions
613
613
643
645
2514
1.535
>0.50
Diagonal
Transitions
204
223
226
221
874
1.341
>0.70
I
I
Approved For Release 2003/d4/18
: CiA-Rbp
:96-00787R000200150009-7
HITS
/RUN'
-
Out
of
100
trials/run.
Approved For Release 2003/04/18
: CIA-RDP96-00787R0002001 50009-7
RUN NUMBER
-
100 Trials/Run
p
=
lx; r
trial
FIGURE
DATA SUMMARY FOR SUBJECT
I
r
J
i
Approved For Release 2003/04/18
: CIA-RDP96-00787R0002001 50009-7