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PROCEEDINGS
OF THE
American Society for Psychical Research
Vol. XXIII JUNE, 1940 1939-40
CONTENTS
Page
Editorial Comment.
By William H. Button and John J. O'Neill
Tests of Extra-Sensory Perception Among A.S.P.R.
Members, By Dr. Gardner Murphy and Ernest Taves
PROUD Ge ain Oa ee ee ES Ae Al
Reuniee. 3 ae 555 dap cl atigereth cts eae
Analysis of Data Collected through March 31, 1940.
PERREMEAGRL CONT OND: eG ice pln cscrededaceeecse
te 4 ig A nee cee EAP eS AERA Yee OE ile ae RO
A i
40 East 34th Street, New York, N. Y.
Membership $10 Associate Membership $5
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THE PROCEEQINGS UF THE AMERICAN
SUCIETY FUR PSYCHICAL RESEARCH
Tests of Extra-Sensory Perception
Among A.S.P.R. Members
BY DR. GARDNER MURPHY AND ERNEST TAVES
Columbia University
During the academic year 1937-38 the present writers
were carrying on a study of extra-sensory perception
among normal persons, whose task it was to try to “per-
ceive” various concealed materials. Sometimes the material
was a few feet away; sometimes at distances ranging up
to 3,000 miles. Much of this work has already been pub-
lished in the Journal of Parapsychology. The Executive
Secretary of the A.S.P.R. participated in a number of
these experiments, visiting our laboratory at Columbia
University, and also making a large number of long-
distance calls on material in our laboratory. Owing largely
to her interest, several other members of the A.S.P.R.
began to take part in the work during the spring and
summer of 1938. Their work, with one type of material,
up to November 1938 is included in the publication men-
tioned in Footnote 1. The main bulk of the data to be
reported here, however, is new, consisting of the results of
work done at the New York offices of the A.S.P.R. between
November 1938 and March 1940,
The method of organizing a research group at the
A.S.P.R. offices was as follows: The Executive Secretary
reported to the President the willingness of the present
writers to conduct experiments at the Society offices under
carefully controlled experimental conditions. The President
arranged a meeting at which the senior author made a
brief address on some current ESP problems and the junior
1 Murphy, G. and Taves, E., Covariance methods in the comparison of extra-
sensory tasks, J. Parapsychol., 1938, vol. 3, no. 1, 38-78,
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author assisted in the demonstration of a number of cur-
rent methods. Fifteen volunteers expressed a readiness to
come once or twice a week in the late afternoon to take
part in telepathy and clairvoyance tests under the present
writers’ direction. The meetings immediately began, the
usual times being Monday at 4:30 p.m. and Friday at 4:30
p.m. There were usually five or six subjects present at the
Friday meetings, and eight or nine at the Monday meetings,
some persons at times attending both. Subjects were free
to participate at any time, and at no time was any subject
discouraged from participating in the experiments. Neither
was any person subjected to undue pressure to participate.
The subjects were, that is, entirely free to participate or
not at any time.
The general background of our problem was this: Prior
to 1938 large-scale investigations of the capacity of ordinary
normal persons to read or guess material not accessible
through the ordinary channels of sense had, as far as we
can ascertain, never given a clearly positive result. The
results of J. E. Coover* at Stanford University, making
use of one hundred subjects, each of whom called playing-
cards a thousand times, are admittedly ambiguous; the
results of S. G. Soal* in the analysis of material broadcast
in England appeared completely negative; the 1924 radio
test made by the present senior author did not lend itself
to statistical treatment, while the statistical treatment of
the Zenith Radio data obtained during the winter of 1937-8
is notoriously difficult to interpret.‘ As far as we have
ascertained, clear-cut, positive results in clairvoyance, under
good experimental conditions, have regularly been reported
not from an ordinary, normal, unselected population, but
from specially gifted persons. This is true, for example,
2Coover, J. E., Experiments in psychical research at Stanford University,
Stanford University Press, 1917, xxiv + 641.
$Soal, S. G., Experiments in supernormal perception at a distance, Proceed-
ings of the S.P.R., 1931-32, vol. 40, 165.
4 Goodfellow, L. D., A psychological interpretation of the results of the Zenith
radio experiment in solapery J. Exper. Psychol., 1938, vol. 23, 601-632.
See also, Stuart, C. E., A review of recent criticisms of ESP research, II,
J. Parapsychol., 1939, vol. 3, no. 2, 194-205.
Tests of Extra-Sensory Perception [3
of the classical British, French, Dutch, and German work,
and, as Dr. Rhine has pointed out over and over again, is
true even in the exceptionally successful Duke University
experiments.’ To the present writers, then, there seemed
to be plenty of room for one more effort to ascertain
whetffer extra-chance results are obtainable from a group
of subjects distinguishable from the general public only in
terms of their interest, not in terms of previous demonstra-
tions of high scoring ability.
It is, of course, to be granted immediately that members
of a society for psychical research may, in a sense, be a
select group, selected because of some actual gift in them-
selves or in their relatives. The point is, however, a hazard-
ous one. There is nothing in our contact with the group, or
in accounts of their experiences, to suggest that they differ
clearly from an ordinary sample of the population, except
that their educational level and range of intellectual interest
are above average, while at the same time their membership
in such an organization doubtless means also a less skeptical
attitude towards the existence of such phenomena than is
ordinarily found in comparable groups of intellectuals.®
Procedure
One of the great needs in psychical research for a half
century has been the development of some simple method
of experimentation which any competent investigator could
follow, so that the results from many investigators working
with many subjects could be compared. If one man with one
method gets positive results in the study of telepathy, clair-
voyance, precognition, and other allied phenomena, and
another man is unable to get the same results, the data are
5 Rhine, J. B., Extra-sensory perception, Boston S.P.R., 1934,
© Dr. W.F. Prince, in a report on Humon Experiences, Bulletin of the B.S.P.R.,
1931, found a large number of eminent persons, most of them college
graduates, who reported psychic experiences, but these did not constitute
by any means a majority of the group to whom the questionnaire was
sent. In an unpublished questionnaire among Columbia graduate and
undergraduate groups, the senior author found about 60% willing to
respond, and of these about two-thirds reported positively on having had
one or more “psychic experiences” (without any commitment as to the
explanation of the experience).
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likely to seem ambiguous to other investigators and to most
readers. In any border-line field a repeatable method is
important in order that basic incontestable facts can be
independently ascertained.
One feature of such a repeatable method would be the
selection of a type of material which could be used with
many different groups of subjects. Another important
criterion would be that the method be usable with the
ordinary run of normal persons, not merely with special
sensitives. A positive finding in one laboratory based on
the use of a specially selected group of sensitives might be
quite valid in itself, but since the very question at issue is
likely to be the genuineness of the result, the method should
be one which can give clear results with any ordinary
normal population, so that other normal populations can be
compared with it.
When the opportunity presented itself to carry out experi-
mental studies of extra-sensory perception at the New York
offices of the A.S.P.R., the present writers undertook to
start from the very beginning in formulating a method
which would meet the stated requirements. This meant, in
the first place, working with a group of subjects who did
not claim to be and who, in fact, were not exceptional
persons or “gifted sensitives.” It meant, secondly, that a
very large variety of simple tests of telepathy and clair-
voyance should be devised, in the conviction that capacities
of the normal person might well appear in relation to some
test methods which would be altogether absent with other
test methods.
Our present report is a description of our quest for such
a method, rather than a final report on any spectacular
results. It is felt that the data obtained are of value and
importance only in so far as they clarify, both for us and
for other investigators, the general problem of methods of
testing for extra-sensory capacities in ordinary normal
persons. If we move one short step in the direction of
devising a universally valid and suitable method which will
Tests of Extra-Sensory Perception [5
in subsequent years lead to more general agreement among
investigators as to what kind of results can be obtained
with a uniform method, our present report will have served
its purpose.
Now as regards our general procedure. It had been
G. M.’s practice in earlier years to carry out with each new
subject a series of crude preliminary experiments in order
to awaken the subject’s interest and to gauge roughly the
likelihood of finding anything worthy of sustained research.
Such preliminary experiments, analogous to those reported
by Upton Sinclair’ and by Réné Warcollier®, are seldom
capable of giving results which can be clearly appraised in
terms of chance coincidence. Sinclair’s experiments, for
example, though brilliant in results, can only be evaluated
strictly if the total number of impressions correctly trans-
mitted can be compared with a definite number indicating
the successes which might conceivably be attributed to the
operation of chance alone. As pointed out by E. T. in the
March number of the Journal of the A.S.P.R.*, a statistical
method for the treatment of chaotic and casual material of
this sort is not only unavailable but inconceivable. In
practice, crude preliminary experiments may actually get
the subjects into bad working habits and make strict work
more difficult to achieve at a later time. We determined,
therefore, from the beginning to use material which could
be evaluated strictly in terms of the theory of probability.
This is not at all a difficult thing to do, nor, which is
important, does it necessitate that the material be entirely
without interest to the subjects.
A second requirement was that the material must be
categorically out of the range of the known senses. This
was achieved by the following procedure: The subjects in
most cases sat in the south room (room A in Figure 1) of
the A.S.P.R. offices on the 9th floor at 40 East 34th Street,
7 Sinclair, U., Mental radio, Pasadena, 1930.
8 Warcollier, R., Experiments in telepathy, Boston S.P.R., 1938.
ai a es in psychical research, Journal of the A.S.P.R., 1940,
vol. 34, 65.
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New York City, either gathered around a central table or
in other chairs nearby, as shown in the floor plan. On some
days, when the number of subjects was small, it was found
more convenient to use the smaller room E. There is no
indication in the results that this variable was of any
importance.
In all tests of pure clairvoyance in which no human mind
was or had been occupied with the nature and order of the
stimulus-material, the material to be called or guessed was
concealed in a cardboard box or other opaque container.
This material consisted in most cases of decks of cards of
various sorts which had been elaborately shuffled and cut,
face down, by a person other than the experimenter. Thus,
for example, E. T. would shuffle a deck of cards and would
place the deck in a cardboard box, and the box would be
given to G. M. as he started down-town to the A.S.P.R.
office, or vice versa. In some experiments, in which the same
deck of cards was used several times at one session, the
experimenter retired to room B, C, or D, shutting the door,
where he shuffled the cards thoroughly, cut the deck while
not looking at it, placed the deck in the box, and took the
box into the experimental room. As the empirical controls
of shuffling in a later section of this report indicate, all
persons who shuffled the cards achieved a random order of
cards in the deck, i.e., the shuffling was adequate no matter
who performed the operation.”
10In addition to the tests of clairvoyance in which the actual arrangement of
the material to be guessed was known to no one, there were two other
procedures: (1) The “pure telepathy” (PT) procedure in which the ex-
perimenter acted as agent or asked another member of the group to act as
agent, choosing the material and concentrating upon it, but having no
physical reference point or object on which to concentrate. (2) There were
also some instances of the procedure which Rhine calls GESP (general
extra-sensory perception), in which the agent gazes at the material to be
transmitted. In this case correct perception of the material might con-
ceivably be due either to the telepathic factor (i.e. contact with the agent's
mind), or to the clairvoyant factor (i.¢., contact with the stimulus material
itself). In general, most telepathic and GESP material, depending as it
does upon voluntary selection or some very inadequate method of selecting
what is to be sent, lends itself only very poorly to statistical appraisal. A
small amount of work has been done with GESP in which the material to
be transmitted was chosen by a “pure chance” method (involving the use
of dice and similar material). These data will be reported in due time;
they are not yet sufficient to warrant any conclusions.
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Sometimes both experimenters attended the meeting, but
as a rule only one was present. As the tables show, E. T.
gathered well over half of the data. On two occasions Dr.
Gustave Gilbert, who was familiar with our methods, took
charge of the meeting when neither of us was free at the
appointed hour. A comparison between results obtained by
the different experimenters will be made later. Also, Dr.
Gilbert at times assisted G. M. and shuffled the cards. As
just noted, however, the identity of the shuffler does not
appear to be an important variable.
The subjects, then, seated themselves informally at the
tables in the experimental room, and followed the instruc-
tions given them by the experimenter, namely, to “guess”
card orders in various kinds of decks. Figure 2 indicates
the way in which the subjects proceeded. The group is
shown seated around a table, recording their guesses, or
“calls.” It is important here, we believe, to stress the infor-
mality of the laboratory situation. Without relaxing actual
experimental control, the experimenters attempted to make
the subjects feel completely at ease; all subjects were
extremely cooperative, and the resulting atmosphere was
conducive to the collection of considerable quantities of data
under rigid, yet informal, conditions.
It is now necessary to define in detail the special materials
used in the clairvoyance tests, bearing always in mind that
these were varied somewhat from week to week in accord-
ance with the judgment of the experimenter.
A large amount of “50-50” material was made up; that
is to say, material in which each guess should have, on
a purely statistical basis, an even chance of being correct.
Here we used red and black cards, red and yellow cards,
yellow and black, black and white, red and white, and, less
frequently, numerous other combinations. We used photo-
graphs of men and of women, and we used several pairs of
symbols from the Rhine set, e.g., permitting a choice be-
From Ler: to Rigur are Mas. Hines, Miss We_emMan, Miss Mount,
SEATED AT TABLE.
A.S.P.R, Sunjects
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Figure
Rocers.
AND Mrs.
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Tests of Extra-Sensory Perception [9
tween circles and crosses, or squares and wavy lines. In
addition to this 50-50 material, we used playing-cards,
where the odds are 1 in 4 of getting the suit correct, 1 in
13 of getting the numerical value correct, and 1 in 52 of
guessing the card exactly.
We also made a great deal of use of “Rook” cards, the
deck consisting of fifty-six cards with 4 suits (printed in
different colors), and the cards being numbered simply from
1 to 14 in each suit. The subjects were usually required
to call the top 14 and the bottom 14 cards of this deck,
although occasionally the entire deck or the top 28 cards
were called. Most of the Rook data are from calling either
the top and bottom 14 cards, or from calling just the top
14 cards, and in this paper we are reporting only on such
calls; we are obtaining more data on Rook calls when the
subjects are required to call either 28 or 56 cards in a row,
but these experiments are not yet complete.
We also made considerable use of what we call the
“5-dot” task, an outgrowth of a method used with interest-
ing results at Columbia. Upon 5 completely blank cards,
plain white stock with no mark on either side, large black
dots were marked in ink. These 5 were then shuffled into
a deck of 45 identical blank cards, bearing no markings of
any sort. After a thorough shuffling, and cutting, face
down, the 50 cards were placed in a cardboard box and the
subjects were required to indicate on which of the 50 cards
there was a black dot, being allowed only 5 guesses in which
to locate the marked cards—guessing, for example, that
cards 2, 18, 35, 40 and 49, counting down from the top,
were the marked ones. The chance expectation here is one
correct guess in every two complete executions of the task.
(The chance that an individual call is right is one in ten,
and this is multiplied by 5, since there are 5 guesses. In the
course of two executions of the task, 10 guesses are made
as to the location of a card bearing a dot, and, by chance
alone, one of these ten guesses may be expected to be
correct. )
-
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The subjects were provided with record sheets, with a
carbon paper and duplicate attached, so that all their “calls”
were recorded in duplicate. Before the experimenter opened
the box of cards, each subject handed in one copy of his
calls to him. This item seems worthy of some emphasis here
in view of current criticisms of published ESP research.
It is important to guard against errors in recording, either
by subjects or by the experimenter. The routine was,
therefore, for the experimenter to record the target order
as he opened the box, and before he looked at anyone’s
calls. The method of scoring for official purposes, when
the data were assembled at Columbia, was to juxtapose the
target order and the call order as written down by the
subjects on record sheets. For unofficial purposes of inform-
ing the subjects as to their progress, it was common to read
off to them the actual order, allowing them to check their
own scores after each task, but the carbon of the call order
had, of course, previously been handed in, permitting a
oe independent checking against the official target
order.
Results
We are now ready for the results. We shall here give
and discuss the significant findings. Complete data will be
found in the Appendices.
Regarding the general problem of method which we
raised in the introduction, it should be made clear first of
all that, under the conditions described, all of the 50-50
tasks except the red-white must be regarded as giving
results so completely comparable with chance expectation as
to justify no discussion whatever. In most of the 50-50
tasks this group of normal subjects working with this
group of experimenters obtained nothing of parapsycho-
logical significance. As an example, Table I shows the
number of guesses regarding faces of men and of women
in photographs, the number of successes, and the number
of successes expected if chance alone were operating. With-
Tests of Extra-Sensory Perception [il
Tante I. Sets of photographs of men and of women, shuffled and
placed in boxes, and called in “down-through” order.
Wiamber OF: Calls: siccssesesssssascossscossccstciaessossvecesteavecene 1600
Number of correct calls ......cccscsssssssssessssscencseees 807
Expected try Chace | cssiccsssssssscsedssssessensasisaseessisacteneee 800
Deviation from Chance ......ccccccssscesescsessesscscsesscevees +7
out statistical discussion, it is sufficient to report here that
these scores are well within the limits of chance expecta-
tion. The same is true for the other 50-50 tasks; there is
no evidence for the operation of other than chance factors.
The complete data for all 50-50 tasks are given in Ap-
pendix I. Of the tasks with odds other than 50-50, none
gave significant results except the Rook cards.
The data from the Rook and the red-white cards, how-
ever, are in a different category. These results are very
surprising, and appear to warrant the view that the general
problem of method raised at the beginning has been some-
what advanced towards the point of ultimate solution.
On February 20, 1940, when all of the data in hand at
that time were brought together, it became evident that
the correct calls on the top 14 and bottom 14 Rook cards in
the deck of 56 were considerably in excess of chance expec-
tation. Table II presents the relevant Rook data up to this
date; the letter P (probability) indicates the likelihood of
getting such a result by chance alone (“random sampling’”’),
i.e. there are only four chances in 1000 of getting such high
Rook scores through the operation of nothing more than
chance.
The Rook scores, then, suggested that we were making
progress towards a method. But the data in hand by
February 20th pointed to another result just as striking,
namely, a very consistent tendency for our subjects to go
below chance on the red-white decks. The complete batch
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Taste II. Data on Rook calls to February 20, 1940.
AN CRISIIEE: ON: COIS sis) snsscvcnnscacesadonscasqesesesesssetssosasavase 14,826
CORT RCE CRY cccscsssassiarcssiassoucess isckesecescesectanstaboibase 1,143
Chance Expectation ......csssrereresrsrersrersrsesrensnensnensess 1,059
Deviation from Chance ......sccesesessesessseserereeesesees +84
DP praise icasatisncetcessnisisistsiniceah ciated cicaraiisena einem 004
Taste III. Data on red-white calls to February 20, 1940.
INCAIEE OE: CANS -scsisvcssatcebessxavecnsarcecteseccaeseteeenenosveece 2,650
Correct: calls sissietssssesciscascissiaticcacctatosatvasereenssenes 1,230
Chance expectation ....0...ccvrsesscssvsssssrsessseeserecesesees 1,325
Devistion FO | CHANG <svseecereccesspesepererssszenseosvenvece —95
FF aa asvaccccssnschenhyanensscasacaiiasansccasdapchonsiabepeeheteaiinsaniseeenk 0002
of data collected up to this time, including all tasks, would
be extremely unlikely to give any task as high as the Rook,
or any task as low as the red-white through the operation
of chance factors. As seen in Table III, the red-white calls
on February 20, 1940, numbered 2650, and the successes
numbered 1230 as against the 1325 expected by chance.
The P value here is .0002, which means that there are only
2 chances in ten thousand that a chance (random) sample
would give such low scores on the red-white deck.
(For evaluating the obtained deviations from chance
expectation the binomial statistics are used. The P value is
determined by computing in the case of the Rook data, for
example, the moments of the distribution (1/14 + 13/14)"
and substituting in the Charlier expression of the gen-
eralized normal curve. In this connection see Huntingtons’
paper, A rating table for card-matching experiments, in the
Journal of Parapsychology, 1937, vol. 1, no. 4, 198.)
With these data in hand, it was immediately determined
to gather two types of additional information: (1) Both
E. T. and G. M. must gather considerably more material
with the Rook and red-white decks with the same group of
subjects to ascertain whether the positive trend for Rook
and the negative trend for red-white would continue. (2)
Tests of Extra-Sensory Perception [13
Completely independent investigators, preferably those hav-
ing no convictions on the question of extra-sensory per-
ception, should be asked to collaborate, working entirely
independently and with fresh groups of subjects.
Accordingly, a considerable amount of additional Rook
and red-white data were gathered at the A.S.P.R. meetings,
and the research carried forward through March 31, 1940,
at which time the method was finally terminated so far as
the present report is concerned. Concurrently, G. M. wrote
to professional psychologists of his acquaintance teaching
at universities and colleges in various parts of the United
States, instructing them in the preparation of the Rook and
red-white cards, and asking them to get their classes to call
them by the down-through (DT) method. The results from
these classroom experiments will be reported when available.
The additional data from the A.S.P.R., however, have
clearly continued to support the results already indicated,
and in the following section of this report the complete
data, up through March 31, 1940, will be presented.
Analysis of data collected through March 31, 1940
I. Rook. Approximately 3,000 additional Rook calls
(first and last 14 cards in the deck) were collected between
February 20 and March 31. This additional sample of
data also revealed the positive trend which was previously
in evidence, and the entire number of calls and successes
is indicated in Table IV. This table represents the entire
Rook data for the method described, and the P value lies
beyond the ordinary limits of chance variation.
Taste IV. Complete Rook data, top and bottom decks of 14.
Weermber OF CAUUG : <ssciccesoscsesavessacaccscarseasenoossctsstenaianee 17,612
Gorrect: walls iicsictictctscaccnesscannancessies 1,361
Chance expectation .....cccccccsssesssssessssseerereserereseseeeees 1,258
Deviation from Chance .....:..ssssssssesecessesssesersreseseees +103
TP ssitossccaececstid satin ivaatone ta ebsshavatentacboasaseeushsssissublcibabetiet 0015
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Table IV presents most of the relevant Rook data, but it
still leaves a number of questions unanswered. We know
that we have a positive deviation from chance expectation,
a deviation of sufficient magnitude to be designated sig-
nificant, but we do not know to what kind of performance
on the part of the subjects the deviation is to be attributed.
Does the deviation result from many scores just a little
over chance, or from relatively few extremely high scores?
Do the subjects score consistently a trifle above chance, do
they score mostly at the chance level, with occasional
extreme scores, or are both phenomena present? These
questions are of considerable interest, and in order to
answer them it is necessary to tabulate the obtained fre-
quencies of the various scores.
Obtained
--00. Expected
2$0
Freguency
3
° 7 2 3 pr s 6 7
Score
Ficure 3. Distamution or Roox Scores — Tor 14
Tests of Extra-Sensory Perception [15
Chance expectation for the deck of 14 Rook cards is 1,
but this does not mean that all scores above 1 are definitely
extra-chance. Rather, chance will produce a distribution of
all the scores from 0 to 14 (although no scores as high as
14 are expected by chance unless the number of trials is
astronomically large), the average of which will be 1. It is
possible, then, to compute the expected chance distribution,
which may then be compared with the obtained distribution
of scores by means of standard statistical techniques. This
process yields the additional information we desire. In
Figures 3, 4, and 5 are shown the expected and obtained
distributions of the various Rook scores. From these curves
and from the data presented in Table V it is apparent that
—. Obtained
“-—-«=- Ex pected
3
Score
Figure 4, Distamurtton or Rook Scoxes — Bortom 14
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Obteinead
-_-—-——-
o 3
Score
Figure 5. Distamution or Rook Scores — Top 14 AND Borrom 14 Comsinep
‘
the deviation from chance expectation shown in Table IV
is attributable both to a deficiency of scores of 0 and a
surplus of scores of 4, 5, and 6 (6 being the highest score
we have ever obtained on a deck of 14 Rook cards).
Taste V. Comparison of expected and obtained distributions
of Rook scores—top 14 and bottom 14.
Obtained Expected
Score Frequency Frequency Difference
0 404 446 —42
| 493 480 13
2 247 240 7
3 89 74 15
4 20 16 4
5 3 2 1
6-14 2 1 1
Tests of Extra-Sensory Perception [17
Scores of 1 and 2 are near the expected frequencies,
scores of 0 are less frequent then expected by chance, and
scores of 4, 5, and 6 are in excess of chance expectation.
In interpreting Table V it is important to note that the
actual size of the deviation from chance must be considered
with respect to the magnitude of the score. The deviation
of 4, for example, for the score of 4 is considerably more
significant than the deviation of 13 for the score of 1.
Deviations of the obtained frequencies from expectation are
considerably more significant where the score is high than
where the score is only slightly deviant from chance.
Next in the analysis of the Rook data comes the question
whether the differences between the obtained frequencies
and the frequencies expected by chance represent a sig-
nificant deviation, or whether these differences are of such
small magnitude that they might well be obtained in a
procedure involving nothing more than random sampling.
The Chi-square procedure provides such a test of sig-
nificance, and obtained values are presented in Table VI.
—— ——<—;~=E_=$_=*"*_r"=™&{K{Kanan{={={{x{q{q{_**_*=*_*=$“<===\“CS{|={={]]]]_ = i i < < < i i> “ LL == = =aiazs—
Taste VI. Chi-square and P for the various Rook distributions.
Distribution Chi-square P
Top 14 9.105 06
Bottom 14 2.255 70
Both 9.447 05
The P values of .06 and .05 in Table VI are not small
enough to be termed significant, but they are suggestive.
What we have so far, then, is the knowledge that the total
deviation from chance of the Rook scores is significant, and
that the departure from expectation occurs not in one place
in the distribution of scores, but is more or less spread out
over the entire distribution, so that the obtained distribution
still does represent a pretty fair “fit” to the expected dis-
tribution. Stated differently, this means that our significant
deviation from chance was not obtained in spectacular
spurts of high scoring, but was obtained more or less con-
PDF page 12
—EEEEE———————
18] Proceedings of the A.S.P.R.
sistently during the research. This is, perhaps, an indica-
tion that normal people have generally available a small
quantity of some psychic factor. This is speculative, but it
indicates the next step in the analysis, which is to break
down the scores in terms of individual subjects to determine
whether the positive deviation is from all subjects more or
less equally, or principally from a few “gifted” subjects.
This analysis was performed, and the results are shown in
Table VII. Forty-two subjects participated in the Rook
experiments ; some subjects called the deck but once, whereas
one subject called the deck 222 times. Of the 42 subjects,
14 are below chance expectation, 23 are above, and 5 sub-
jects show no deviation whatever. The table shows that
over a third of the total deviation came from one subject,
J. G., whereas considerably less than a tenth of the total
number of calls came from this subject.
The average score of the entire group is 1.081 correct
calls per deck of 14 cards, chance expectation being 1.000.
It is of interest to know whether the entire group, exclud-
ing the exceptional case of J. G., scored significantly above
chance. The average score for the remainder of the group,
then, is 1.056, and if J. G.’s scores are reduced to this level,
statistical analysis reveals that there are 92 chances in 100
that the “true” difference between expected and obtained
scores is greater than zero, and is positive. The result
is suggestive, but since it still leaves & chances in 100
that the difference is not greater than zero, no conclu-
sion that the group as a whole scored significantly above
chance is indicated. Rather, the writers are of the opin-
ion that there is a certain amount of evidence that the
entire group did manifest some small ability to score above
chance; without the results of J. G.’s calls the data are
merely suggestive, but the entire mass of data is quite
striking.
The analysis of the Rook data was almost complete at
this point, but there was one other question in which we
were interested — the question at which points in the
Tests of Extra-Sensory Perception [19
Tante VII. Breakdown of Rook data by individual subjects.
Subject N*¢ Db" P Subject N D P
7
LA 1 0 RL 10
AB 155 0 CM 31 —7
EB 2 1 EM 2 0
MB 4 1 GM 18 3
OB 2 0 HM 100 —3 e
VB t 2 MM 118 15 .
CD 6 2 SM 6 1
KD 10 —l AN a —1l
LD 6 —2 Jo 1 =
BF 12 2 AP 20 =
HF 4 10 JP 47
RF 30 8 MP 46 —4
SF 80 4 ER 9 —2
CG 6 1 HR 1 —1
GG 10 8 IR 54 .
JG 90 37. .00007 MR 2 —
AH 8 —2 BT 4 1
DH 34 —7 ET 6 4
GH 68 5 CV 2 —1
MH 19 1 AW 222 13
EK 2 0 FW 1 2
Total deviation
Total N
*N is the number of decks of 14 called.
oD is the deviation from chance expectation.
as a correct guess most likely. In other words,
a Sucaxig the sete of cards in a deck, is spatial posi-
tion in the deck a factor of importance? Rhine” had pre-
viously reported interesting results with respect to this
question, and we wondered whether our data contained any
such result. For this particular treatment of the data we
used only the calls from J. G., since here, apparently, a
genuine extra-chance factor was producing high scores,
and here would be the most promising field in which to
search for any such effect. J. G.’s correct guesses were
therefore tabulated according to position in the deck; the
results are shown in Table VIII and in Figure 6.
ibid, p. 124 ff.
PDF page 13 — low-confidence transcription
20) Proceedings of the A.S.P.R
:
‘
>
e
Position in deck -
Ratio of successes fa expectation
Frcurs 6. Grarn Saowine Distamurion or J. G.’s Roox Successes
Taste VIII. Tabulation of J. G.'s correct calls at each position
in the deck of 14 Rook cards.
Position in Total correct
deck calls
Sn
1dr coussvonendesvopend kava tons cave nracenicbedecceeloitioniss 10
7. Spo RO Me PPE ORE PAR TERE SCRE 3
SP Ncaatashlgesticdtidieesassoealvsveetpssssesttenecersiciosenyy 5
a ne. enero 15
OW ssdaabasncceauesibaca obiecdecesisccbcescebicsbe Scene 10
6 aibbaccoesonccbeseschereastebeseatudoceeescoussococessezeren 15
Patacesey tore sroceen cconetusnsieeeviesseaeeeemennenti 6
WBA ctcncaseoceassnscaviccntaesskascssicissobeiectecotndeees 17
8 HR ae py AOI CEP TIOR PREC 6
10): , oocsesceonennssesseeseuseuenseneooeorsevarerasaceeeseesss 9
DT: sxessuscononsketosetiesasscoseeptcesbldnivesereibceevesce: 9
| Biers eae eee OE ee PEN SN RSS FORCE STE? 12
ik A enn ed a 7
I cs csecccocapeavoncenensiceansciseausiascistecuckek SEES 3
7-49
Tests of Extra-Sensory Perception [21
The table reveals a general tendency for successes to
cluster toward the first third of the deck, and when the
values are averages and plotted as in Figure 6 the relation-
ship becomes apparent. This “inverted U” curve is one of
the types of curves reported previously by Rhine, although
most of the Duke University subjects characteristically pro-
duced a regular U curve, opposite to that shown in Figure 6.
2. Red-White. As shown in Table III, the red-white
data up to February 20, 1940 were distinctly extra-chance,
correct calls being so far below expectation that there was
no question as to the reliability of the trend. This, of
course, was an interesting result, but to us it had little value
unless it could be repeated. Consequently we decided to
collect more red-white data tinder similar conditions, to see
whether the P value would remain significant or would
increase until it became of little value. Accordingly, over
4,000 additional red-white calls were collected, so that the
data were almost trebled. These additional calls also revealed
the negative trend present in the original red-white data.
_ In collecting these additional data, decks of both 25 and 50
cards were used, the trend being equally negative in each
case; to expedite statistical analysis, the decks of 50 are
considered as two decks of 25. The complete data are
shown in Table IX.
Taste IX. Complete red-white data as of March 31, 1940.
Number of calls ......cccccccsssssceseresesensnsessnecersenrers 6,975
Correct’ calls sig onicttnsiticucnnnncine 3,343
Chance expectation ....ccccccsssseeresaeseersrereenesesees 3,487.5
Deviation from chance .........csseresereeereneeeeeeees —144.5
| _ aL BP apo eee seers CTT CNRS ROE 000,276
It is apparent that the entire red-white data are, by this
analysis, beyond the limits of ordinary chance variation—
the negative deviation is statistically significant, indicating
that in the present research when Subjects were asked
PDF page 14
22] Proceedings of the A.S.P.R.
to guess red-white cards, they scored below expectation to
such an extent that chance is excluded as an explanation.
The next step in the red-white analysis was to plot the
frequency distributions of obtained and expected scores.
These curves are shown in Figure 7. From visual inspec-
tion it is plain that the obtained curve is not simply skewed
to the left, as might be expected, but is moved bodily to the
lower end of the score scale. For almost every score value
below the chance expectation of 12.5 the obtained scores
exceed the expected, whereas for every score value above
the expected mean the expected scores exceed the obtained,
—--- Expected
——« Obfsined
Freguency
,
er:
Score——Deck of 25 red-white cards
Ficure 7. Ostarnep ano Expecrep Frequency Distamutions or Scores
on Deck or Rep-Waurre Carns
6 TS I7TP 4 2 BH Hb 11819 2Yy
Tests of Extra-Sensory Perception [23
as shown clearly in Table X. This is an interesting result,
indicating a linear departure from chance expectation. The
obtained negative deviation is not attributable to a large
number of extremely low scores, nor to a spectacular defi-
ciency of extremely high scores—it is rather that some
constant factor is apparently at work on all scores, high or
low, making each score just a little less than it should be,
resulting in the bodily shift of the entire distribution in a
negative direction. Since the departure from the expected
curve is still a good fit for the obtained curve as the Chi-
square and P values in Table XI indicate.
eee — eee
Taste X. Table showing comparison of expected and obtained
distributions of red-white scores—deck of 25.
Obtained Expected
Score Frequency Frequency Difference
19-25 1 2 —l
18 l o —3
17 8 9 —l
16 10 17 —7
15 22 27 —5
14 32 37 —5
13 41 43 —2
12 48 43 5
11 41 37 4
10 33 27 6
9 18 17 1
8 15 9 6
7 7 4 3
6 1 2 —l
5-0 1 1 0
Taste XI. Values obtained in Chi-square analysis of
red-white scores.
Chi-square ....secssssecsssssseseesnesssnsononosoncessonsenesnessnessoees 16.34
MD ssssinssstnscbvsnsnssovsnsnisnansonenengeepsnessnonicesensomeetrervenaceh 13
PP scossossesecensegevorcpavensssaunsstaliopenapnees sesoneasedealsisaensveccegs 22
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24] Proceedings of the A.S.P.R.
In the case of the red-white data, as in the case of the
Rook data, the total number of hits, or correct calls, was
tabulated by individual subjects, with the results shown in
Table XII. Here the group effect is considerably more
marked than in the case of the Rook data. Twenty-four
subjects took part in the red-white experiments, some call-
ing the deck but twice, one subject calling the deck 59
times. Of the 24 subjects, 17 are below expectation, only
6 are above expectation, and 1 subject shows no deviation.
As in the case of the Rook data, here also is one exceptional
subject, this time A. W., whose red-white scores up to
April 1, 1940 were so low that the chances are 250 to 1
against an explanation in terms of chance alone. Excluding
for the moment the data from A. W., the remainder of the
group scored so low that the chances are about 170 to 1
against a chance explanation. When the entire data are
considered together, however, the negative deviation is so
large as to be expected by chance only once in 4,000 such
periods of experimentation.
A negative result of this kind, from a purely statistical
standpoint, is precisely as significant as an equally positive
deviation would be. One must, in a sense, know what the
cards are in order to miss them enough to produce a sig-
nificantly negative deviation. Such a negative result is
rather striking, and demands an attempt at an explanation.
The present writers have tentatively adopted a hypothesis,
but further research is necessary before much can be said
about it. It would appear, at least, that there may be some-
thing about the red-white situation which arouses nega-
tivism. This may be because of obscure affective factors—
the symbolic values of red and of white are deeply ingrained
in our culture, at least, and this general affective tone of
the material used may have something to do with the type
of result obtained. Beyond that, however, the authors are
not at present willing to proceed.
Tests of Extra-Sensory Perception [25
hh aSSSs—S——aeaawseewSeSse
Taste XII. Breakdown of red-white data by individual subjects.
Subject N Correct calls Deviation P
MB 2 22 —3 239
AB 12 133 —17 .028
BB 3 30 —7.5 .053
LD 4 46 4 242
KD 6 75 0 500
RF 12 165 15 042
SF 36 430 —15 .166
GG 3 40 2.5 363
JG 8 92 —8 145
GH 30 368 —7 318
KH 6 74 —l A468
DH 9 109 —3.5 345
MH 9 106 —6.5 212
EK 2 28 3 239
HM 9 102 —10.5 092
MM 15 197 9.5 176
CM 9 99 —13.5 036
JP 14 179 + 359
AP 12 136 —l4 053
MP 4 45 —5 184
IR ll 139 1.5 A452
ET BI 35 —2.5 322
AX 3 31 —6.5 082
AW 59 662 —50.5 .004
eee
Empirical Controls
The results just reported, however interesting, would
nevertheless mean little unless proper empirical controls
were made. It is necessary, that is, to determine the degree
to which the shuffling of the various decks of cards was
adequate—to determine whether the materials used were
truly random, or were in some systematic way deviant from
random sampling. If in the red-white decks, for example,
there was a consistent tendency for the red cards to be
found at the top of the deck, and a subject similarly tended
to guess more red cards at first and more white cards later,
a spurious positive result would be obtained.
PDF page 16
26) Proceedings of the A.S.P.R.
While it is true that in the subject’s calls such deviations
from random sampling are present, results will yet be
genuine provided that the target, or deck of cards to be
called, represents a random sample. To make this deter-
mination, then, either of two methods may be used: (1)
Each target deck may be checked against the succeeding
target deck, the correspondences being noted. A consistent
extra-chance tendency in the decks will then produce extra-
chance frequency distributions. (2) The frequencies of each
kind of material used at each point through the deck may
be tabulated. Such an analysis would reveal any tendency
for the fifth card in the red-white deck to be red more than
it should be by chance, or any similar tendency. Either of
these two controls is probably adequate for all practical
purposes; in any case, negative results with both types of
control should satisfy most readers as to the adequacy of
shuffling. Both such controls were made, the results of
which are shown in Appendices III, IV, V, and VI.
The obtained P values indicate that the shuffling, for all
experimenters, in both the case of the Rook and red-white
data, was adequate.
Summary
We should like now to recapitulate the main trends of
the work done in the two winters’ investigation at the
A.S.P.R. offices. Most of the work appears to confirm the
conclusion voiced by Coover that ordinary subjects, work-
ing in an ordinary mental state, with statistically measur-
able material, do not average significantly above chance
expectation.
Some of the results, however, do indicate a process which
the statistician would not permit us to treat as chance effects
(nor, in view of the procedure, as effects due to sensory
cues, imperfect shuffling, etc.). First, the scores on the
simple choice of red or white cards are paradoxically low,
not merely low enough to arouse interest, but so extremely
low that such a result would be expected to appear by
Tests of Extra-Sensory Perception [27
chance only once in the course of 4,000 such experiments.
Second, when Rook cards are guessed 14 at a time, the
scores are high to a degree to be expected by chance but
once in the course of 670 such experiments. It is possible
that the results are partly due to the personalities of the
experimenters, or to fatigue, excitement, health, diet of the
subjects, and other such multitudinous factors, but to the
writers it seems more likely that the attitude of the subject
toward the task is the most important single variable.
It cannot be too strongly emphasized that we have striven
chiefly to develop a method, and that until our results have
been independently confirmed they cannot be incorporated
into the general body of science. They may have been due
in part to tangible or intangible aspects of the procedure,
such as the type of material used, the manner of preparing
it, or the attitudes consciously or unconsciously entertained
by the experimenters or by the subjects. We believe that
the method can be successfully repeated, but nothing is
less characteristic of science than premature declarations of
success.
A few words about plans for subsequent experimentation
seem in order. Our experience has been that relatively
few subjects are willing to give the time to carry out rigidly
controlled experiments permitting statistical evaluation over
a long period of time. A given type of material has to be
used a long time before one has a clear-cut result. Never-
theless, two forward steps are possible. Perhaps a few
members of the Society, reading this report, will be suf-
ficiently interested to join and work with the group. Second,
there is now enough material in hand from some of these
procedures to justify starting with other types of objects
to be guessed, involving other colors and pictures and
various materials with more direct and unambiguous feeling
tone or emotional value. It is true that such material
quickly loses its special appeal, but the recent study of
Pratt and Woodruff” shows that a change of method every
12 . G. and Woodruff, J. L., Size of stimulus symbols in extra;
—— perception, J. Parapsychol., 1939, vol. 3, no. 2, 121-158.
PDF page 17
28] Proceedings of the A.S.P.R.
few trials, provided only that the statistical treatment
remains uniform, is even advantageous. It is of the utmost
importance that the current work of Pratt and Woodruff
just mentioned be repeated somewhere outside of the Duke
University laboratory. Here high scores are apparently
obtained from normal persons by a rigid method of control.
_ Third, the ingenious method of Whately Carington,”
informally reported from Cambridge, England, could well
be adapted to our group performances and urgently calls
for repetition. These are among the things to be
during the coming season. = rai
13 Carington, W., Experiments on th cogniti
appear in J, Parapsychol., ‘el, 4, a ao poe ae ee
Appendices
A few words as to the most convenient method of reading
the tables may be in order. The column at the left in Appen-
dix I designates the kind of material used in a given set of
experiments. The capital N in the second column indicates
the number of individual tests given by a given method.
There were, for example, 2794 playing-cards upon which
guesses were made. The next column, “hits expected,” tells
the number of right guesses to be expected on the basis of
chance alone. For example, the likelihood of getting the color
right when one is limited to ordinary guessing is 50-50, so
that half of 2794, or 1397 should be correct. The next
column, “hits obtained,” tells the actual number successfully
guessed, which, in this case, deviates from chance expecta-
tion by only 3, as the next column shows. The next column,
“\/npq” is a standard measure to tell within what range the
scores may be expected to vary; m is the number of calls,
Aprenpix I. Summary of all 50-50 card data.
a
Material N HitsExp. HitsObt. Dev. Vupq D/ Vupq P*
ee
Playing Cards.. 2794 1397 1400 +3 2643 O11 46
Circle-Blank... 3275 1637.5 1652 +145 2861 0.51 .31
Square-Waves.. 775 387.5 381 —6.5 13.91 047 32
Yellow-Blue ... 270 135 121 —l4 82 1.71 .04
Yellow-Black .. 1085 542.5 527 —15.5 1647 0.94 .17
Circle-Cross ... 8010 4005 4084 +79 44.75 1.77. .04
Masc.-Fem. .... 1600 800 807 +7 20.00 0.35 .36
Black-White .. 2275 1137.5 1124 —13.5 2385 0.57 .28
Red-Yellow ..... 625 312.5 300 —12.5 12.5 1.00 .16
Red-White ...... 6975 3487.5 3343 —144.5 41.7 346 .0003
TOTAL...-+000 27684 13842 13739 —103 832 1.24 .10
* The values in this column are not completely accurate, being based simply
on D/Vnpq. Actually, as indicated on page 12, the statistical procedure for
a precise evaluation is considerably more complex. These P values, however,
are sufficiently good approximations to indicate whether significant results
are i obtained. When a critical case is found, the more precise analysis
is n ,
PDF page 18 — low-confidence transcription
30] Proceedings of the A.S.P.R.
Appenpix II. Results obtained checking each red-white deck against
the succeeding deck.
das soicoenpedutnees bbeoepeveebbbybeteencevbeies sqmecepnenpevenepessnone tase 1350
Hits expected ....cccccscccsesssecesesersesesesesesescsesensecnescers 675
Hits obtained wo... ceccssssssssesseseseseeesesessseeneeneseevenses 667
DFEIGD® se onmncnneonunanmnnnsnuamnesteomanninis 8
BB cupseequevpsneitccconepsencotussensespneaiieasiases vaiticietatpleepabespiiinitie 34
p is the probability that a given call is correct, and q is
the probability that it is incorrect. This measure, the stand-
ard deviation, will include about 68% of all the scores which
would appear in a large chance series. The procedure here
is exactly as if we said, “If these are Japanese, I should
expect them to be about 5 feet 5 inches” but if we know
that about 68% of all adult Japanese men are between 5
feet 3 inches and 5 feet 7 inches in height, the 2 inches,
measured in either direction from 5 feet 5 inches is the o
or standard deviation, the measure that we are here using.
The reader, without puzzling about statistical detail, can
see that the further a deviation is from the expected num-
ber, the more standard deviations or units it is from the
expected number, and the more surprising it is. A value
of more than 3a above chance arises by chance alone only
once in about 700 cases. If the reader glances down this
next-to-the-last column he will see that with all of our
materials except the red-white the data are within the
category of ordinary chance expectation. The results with
the circle-cross are suggestive, and with the yellow-blue
almost the same, but no statistician would accept such
values as conclusive, and certainly no psychical researcher
should do so either.
The column which means the most, and which fortunately
can be explained more easily, is the last column, the one
captioned P. The P value is simply the likelihood that a
random chance collection of material would give such a
deviation from the expected mean as is actually obtained.
Tests of Extra-Sensory Perception [31
; .
‘Apvenpix III. Red-white target control, showing frequencies of red
cards at each position in the deck for each experi-
menter.
Position in deck GM ET GG
L: ccccoccsccoreocssnssssoocueores 15 3 1
DZ. iinsnsacaasecconedscecctioneses 18 + 2
3D cccrccescscsescceconecsssseres 24 6 0
E crvexsoreseonenensayaviebicmnte 17 6 3
| eascsiudossscttensasscseasteen 21 6 3
6. ccciscceversescveccereecncerees 19 6 1
7. -eceeponypncanscecoonerbocesoeye 17 9 2
BB <ccocorccssssscsessscscereceess 24 4 3
©: <casscoceussecsiopmncnmnensoereee 21 5 4
10) |. .cacecorecceecccosesonsesisssese 21 4 2
) b presenmnnrrrnsmnrorernee 28 8 2
TZ cscarcccorescscccoorescoesees ~ 2a 7 2
13: cospcossocccononectaynoneetes ~ & 5 2
) XBAI em 7 0
15: scccsses - wae” 4 5 1
NG) cecesusecsncessepenesasaneebas 16 6 1
V7 scccccsrcccccdssccncssssseectes 17 3 Y 2
TB: cisscccicsececsesirccinensnnces 19 6 4
ISD teceuseesatpeessoenceresereonees 21 9 1
DD sinkssorisebacsarecknescnsteses 21 8 1
DA .ckasassassevabescavensnension 19 5 3
so A re 14 a 1
BD ziticiomsennainncoans « 46 5 3
BA. scsexatcceserrsnationerosrenes 21 6 1
LAM errarent traeeercaneesearertere 15 6 2
The P value, of course, reveals nothing whatever of the
cause of a phenomenon, but it permits a concise statement
as to whether a result is reasonably attributable to chance
or not, provided one has a large amount of material per-
mitting uniform treatment, and provided one makes full use
of the necessary statistical safeguards.
PDF page 19
32] Proceedings of the A.S.P.R. Tests of Extra-Sensory Perception [33
Appenpix VI. Rook control, ET's shuffling.
Position in Rook Deck
Appenpix IV. Distribution of 5-Dot Scores. .
Score fy f, D BD 6bD*Yv/i, OD ib {D
BY Gasscssssen 148 166 —18 324 195 0 0 O mn a ES eT SO COO
L niin, 106 92 on 196 1849 1 106 106 iz 9 169 109 I2 12 12 19 10 12 10 12| 164
DD coseamsossnses * » 25 1136 2 48 £% 13) 177 144 10 16 7 8 12:1 15 9 12 6 12 10) 159
Bs conesassteesens 3 9 27 12 2.3 8 6 68 2 8 BN eS ee
4915 1 4 12 8 10 91
eee zs 2) = dl: io 3 7 9 11 10 14 9 12 10 12 16 13 8 9] 145
XP = 4957 9| 1 12 15 7 14 14 10 18 7 17 13 15 ML 14] 178
a= 8 0 = Vr m- (8) ) 15 10 6 14 12 13 10 9 13 8 3 10 12 15 | 150
P= 08 =: ae 11 13 10 10 10 617 9 8 7 6 8 10 12) 137
10 12 19 12 6 12 2 4 121M 4 OD BY 165
8
7
on . . 6
To be within chance expectation, the values in the GM 5| 7 12 9 12 14 10 9 15 18 9 15 12 10 12) 164
4
3
2
I
column should range between 12 and 30, in the ET column,
between 1 and 9. Inspection shows that all the obtained
values in these two columns lie within the expected ranges.
In the GG column the amount of data is so small that no
single position in the deck could reveal a significant devia-
tion, i.e. values of 0 and 4, which are the maximum and
minimum values possible of achievement, are within a 3a
range. The table indicates that the shuffling of red-white
cards was adequate for each experimenter.
917 12 10 9 8 11 12 1 «9 10 18 12 13] 161
361212 9131 9 7 9 1 9 2 15 13 159
210 6131215 9 7THHW2MN MW 7 150
9 9121110 8131 5 7 8 9 6 15| 133
Total | 154 154 154 154 154 154 154 154 154 154 154 154 154 154 [2156
a eSee—s——m =
V2 — V2N—1 = 177. As in Appendix V, the obtained value indi-
cates that the shuffling of the Rook cards was adequate.
Appenpix V. Rook control, GM’s shuffling.
Position in Rook Deck
7 ) 123 4 5 6 7 8 9 10 Il 12 13 {Tow
4] 63 37 38222 5 3 7 6 7 6|€
133} 7642714 5 45 3 4 3 «4/59
2/27 8 6430 2447 «21 «4 «4/16
e]ml| 7 23645 28 47 5 3 2 4/8
§ || 6 23 2464 4 2 1 5 3 6 7/55
. | 9! 4 3 65 46 3 4 6 8 3 6 1 3) €2
18} 343 645 3 5 43 3 § 2 3/383
B17] 64624413 3677 3 3 «4/59
Si 6], 21 5. 56 $ SB? 2 § TIS
SG] SS $ 8S FSS Aa DBO 4 DOF Be
Seat 1 ys se S28 Se 2 TO Sia
O®!13\ 3536436662248 8\$88
21547 3 5 8 6 44 5 327 3) 6
Wome 6S ESS EBS € SS
Total 61 61 61 61 61 61 61 61 Gl 61 61 G61 61 61 [84
V22 — V2N—1 = 0.38, This value would have to exceed 2.00 mate-
rially before any extra-chance factor would be indicated. The obtained value
of 0.38 indicates that GM’s shuffling was adequate.