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PDF page 1
Reprinted from the Journal of the American Society for Psychical Research
Volume LIX — January 1965 — Number 1
ESP OVER DISTANCE: A SURVEY OF
EXPERIMENTS PUBLISHED IN ENGLISH
BY
KARLIS OSIS
and
APPENDIX TO DR. OSIS’ ARTICLE:
ASTATISTICAL MODEL FOR EXAMINING
THE RELATION BETWEEN ESP
AND DISTANCE
BY
M, E. TURNER Jr.
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ESP Over Distance: A Survey of Experiments
Published in English
Karts Osis!
classes and evaluated by new statistical methods devised by Dr,
E. Turner, Jr., diene? of Statistics at vane ant ‘Turner's — (see
Appendix) is a method for describing any tionship
distance, found that the scores in su ine si
with The decline does not follow the cus inverse square law of
the known radiant energies, but rather an “inverse two-fifth’s law”; i.¢., the scores
decline by somewhat less the inverse root, However, the inverse two-
fifth’s law cannot be extended outside the surveyed sample to ESP in general
because of severe limitations in the data le.
‘THe PROBLEM AND ITS PERSPECTIVE
One of the most fascinating characteristics of ESP is that it
can overcome long distances in space, and seemingly in time also,
penetrating the future. A puzzling aspect of man’s personality is
that by just closing his eyes he may on occasion envision correctly
what is happening on the other side of the world or what will occur
in the future. The available evidence from experiments and
spontaneous cases seems to justify the assumption that ESP can
reach around the globe (5, 21, 26, 31, 32, 38).
This apparent sovereignty of ESP over space and time has, over
the centuries, spurred the creative imagination of researchers and
philosophers (9, 13, 20, 37, 54, 55). Many able individuals have
rightly considered the spatial and temporal properties of ESP to be
among the most important keys to the riddle of the nature of human
personality, For them, the “reach of the mind,” with its virtual
omniscience of far lands and the distant past and future, gives
* Tam very grateful to Dr. Malcolm E. Turner, Jr., of University, who
my conventional ideas about ESP over distances so ins this
survey. His help as consultant and collaborator in the evaluations is hi y valued.
The late Dr. E. B, Foster, Mrs. M. J. Mason, Mrs. J. E. Nteser, and Mr. J, M.
Smith also gave valuable assistance which is deeply appreciated.
i
ESP Over Distance: Survey of Experiments 23
ck to man some of the dignity and grandeur lost in modern
ific concepts of personality. I believe that this line of thought
und and constructive, but only up to a point.
» space-time problem has proved to be one of the most danger-
pitfalls in parapsychology because it has tem researchers
ulate far beyond what our factual knowledge of ESP war-
We know for certain only a few facts about ESP as related
‘to space and time, and even these facts are entangled with a
de of other variables inseparably interwoven in the data. Let
re of constructing gigantic castles with just these few solid
of knowledge, added to a whole warehouse of building mate-
om philosophies of the past. There is no reason why we
n't speculate if we admit that this is what we are doing;
wer, it becomes dangerously confusing if strong empirical
nce which simply does not exist is claimed as a basis for these
castles
am fully aware of the controversial nature of this topic and,
ness to the reader, I want to state my own bias. When, as a
z student, I wrote my dissertation on the hypothesis of ESP,
eved that the independence of ESP from distance in space
time was an established fact. I took it as the cornerstone of
thesis. After coming to the United States, the original sources
me available to me; 1 checked there the validity of claims for
cut empirical evidence for ESP’s independence of space.
my horror I found none.
¢ power of our cultural heritage, or Zeitgeist, to distort
‘ing in parapsychology is clear in the case of the distance
problem. I believe, therefore, that we definitely need clarification
of the available empirical facts about ESP over distances; this is
‘the purpose of the present ae In order to escape the
of the Zeitgeist, I went straight to the primary data in the published
(periments sampled and by-passed the opinions of the experi-
menters. This was necessary in order to clear the ground for new
ive theoretical thinking and better future experimentation.
;
DELINEATION OF THE PROBLEM
The ESP communication system clearly has three parts. At one
end is the internal functioning of the percipient, who acquires
information by ESP. At the other end is the stimulus; for example,
an ESP card, an accident, or an idea in a friend’s mind. The
system’s third part, to which this paper is devoted, is the unknown
factor which brings both ends of the communication system togeth-
er. In my opinion no one yet knows what this factor is. Among
other possibilities, it might be visualized as analogous to the light
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24 Journal of the American Society for Psychical Research
rays which connect our eye with the object seen, or to the sound
waves which connect the tones of a violin and the listener. Modern
communication theories are accustomed to calling this mediating
factor a “channel.” I think we can adopt the term for ESP also.
Let us bear in mind that this channel does not have any spatial
properties, such as those of a pipe or canal. Radio waves are call-
ed a channel in spite of their being distributed around the globe.
This paper is concerned only with the channel in the ESP com-
munication system, whatever it might turn out to be, and not
with the stimuli or the subjective, internal factors. Further, as
I have already said, I will survey and evaluate only the experi-
mental data pertinent to the channel factor, and not the hypotheses
and speculations which have been based upon these data. Theoret-
ical discussions are very necessary, of course, but I will wait to
develop some of my own in another paper.
PRocEDURE
For relevant empirical material on distance in ESP the para-
psychological literature in English was surveyed: this included
research journals and books. The literature in other languages was
touched upon only lightly because of linguistic limitations.
In ESP research two basic types of stimuli are used: (a) alter-
native-choice, ¢.g., ESP cards, in which the subject knows the
alternative stimuli, but must ascertain the order of presentation;
and (b) free stimulus material, e.g., drawings, in which the sub-
ject does not know the stimulus population and must indicate the
nature of the stimuli. These two types of research are reviewed
separately, with primary emphasis on alternative-choice methods
and visual stimuli. Experiments with ESP cards (or other targets
with one-fifth probability for guessing correctly) form the backbone
of the survey, and special attention is given to research in which
the same subject did ESP tests involving different distances within
the same experiment. A few distance experiments were found where
playing cards, numbers, letters, and clock cards were used, but
these will be mentioned only rather briefly since there were too
few instances to permit grouping in distance classes, Some of the
istance experiments using free stimulus material are reviewed,
but with emphasis only on those in which quantitative evaluation
was carried out.
Excluded from the survey are all experiments not designed for
distance comparisons and in which little-known response methods
(ESP in dreams, map dowsing, hypnosis induced by ESP, etc.)
Were used. Mediumistic and so-called psychometry experiments
were also excluded since their results are open to other interpre-
a
ESP Over Distance: Survey of Experiments 25
tation: ESP over distances. Broadcast experiments were
samplec but not included. in the tabulations since none in which
fistances were evaluated were found to have been performed under
eceptable conditions. Experiments in which distance ESP was
oupled with precognition or psychokinesis were not deemed
suitable for inclusion because of the obvious confounding of varia-
Finally, no tabulation of spontaneous ESP experiences was
apted; this would be a herculean task in itself and would in
case involve great difficulties of interpretation in terms of the
‘distance factor. : ;
Having decided on the of research material to be included
n the ier. another sont arose. What is the minimum dis-
tance between subject and target in an experiment. which will
nt its being called a “distance experiment” ? Subjects usually
rience little change in attitude if they are separated from the
et by only a few yards; but they seem to consider it a “real
rc tance” if the cards are placed in another building. Therefore,
‘in order to minimize the possible effect of the attitude factor, a
hundred yards—the distance ee to separate two buildings—
a an arbi lower limit. ; ;
: The Pistence within: the feet mile seems to be rather interesting
‘as a factor in the transmission of known energies. Therefore, the
distance from a hundred yards to one mile was used for the first
“distance class.” ‘The range of the other classes is a thousand
‘miles, If the original source reported the data within a distance
‘tange of, say, 500-1400 miles, the middle of the range—in this case
950 miles—was taken as the basis for classification in the present
Distances were measured as around the globe; that is, on the
Biccumference. Of course, the distance through the globe, the
- diameter, is somewhat smaller, but as the known energies used for
‘communication, ¢.g., radio waves, bounce around the globe, it
“was decided to use this same distance measure for ESP in order to
i it direct comparison. ae
PeThe va ie ength of experiments accepted for evaluation in
the survey is twenty runs (500 guesses), However, this rule was
liberalized for some experiments which are mentioned, but not
included in the main evaluations. ‘a
No special measures were taken for selection in terms of se
of the experiments as I wanted to include all the data
which the claims of no lawful relationship between ESP success
ego ‘his ail give rather inaccurate informe
because of limitations in the data. Approximately half of the
ulated material involves multiple calling for the same set of targets,
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26 Journal of the American Society for Psychical Research
and this could not be taken into account in our evaluations. Experi-
ments | and 2 (in Table 1 below) are i iently described in the
original publications. Some experiments involved hi selected
However, vie ‘ettaply'cha: ot dea qaipiaiaey better t3: stun anv
evaluating claims of evidence for the independence of ESP from
REsuLts
Card Experiments with Five Alternative Choices
Experiments in which cards with five alternative choices were
used as stimuli are summarized in Table 1. The levels
according to the distance classes are distributed in definite non-
AVERAGE PER RUN
: classes i with
chance fashion. When the distance increases, the class average
seg consistently from class to class without exception (Figure
). Most decline is registered between the first two classes; that is,
4
between the 100-yards-to-l-mile class and the 1.1-mile-to-1000-
8
’SP Over Distance: Survey of Experiments
VI
7001-8000 mi.
Avg.
6.17
24 | 3.83
48 | 5.00
Runs
24
5.22
353 | 5.07
1000 | 5.09
244
100 | 5.24
Rane | Ave. |
100 yd.-1 mi.| 1.1-1000 mi. |1001-2000 mi,!2001-3000 mi./3001-4000 m
u
I
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28 Journal of the American Society for Psychical Research
mile class, Actually, the first of these classes ranges only from one
hundred yards to a quarter of a mile, as there are no date for the
rest of the range.
Dr. Malcolm E. Turner, Jr., Professor of Statistics at Emory
University, has developed a statistical model for evaluation of the
problem of ESP over spatial distances (see Appendix). He is the
sole author of this model. The basic idea of the model is to express
in mathematical terms any lawful relationship that ESP might have
to distance. The model utilizes modern information theory, as
well as the latest advances in statistics.
The gist of the procedure in over-simplified, non-mathematical
terms is this: ESP scores are transformed by means of appropriate
Statistical operations into amounts of information transmitted, as
expressed in “natural units” or “nits.” This is necessary in order
to provide a basis for calculating statistics which describe important
trends in the relationship of ESP to distance. One of these statistics
is *, which Turner defines in the Appendix: “7 is a constant we
may term the ‘extrasensory perceptivity’ and is a measure of the
‘power’ of the Sa ag i system in a particular situation.” It
is necessary to calculate this “‘extrasensory perceptivity” in order
to describe, by another statistic, 4, precuate the ee in which
ESP declines over distances, if indeed it does.
This statistic 5, or “proportionality constant,” is Turner’s
basic tool for pinning down mathematically any distance law. With
it one can sweep across all the major ibilities of a distance
law to find precisely that one which dts e data best. For example,
if 8 is found to be 0, ESP is not related to distance; if 5 is equal to
-2, the result is the inverse square law characteristic of known
energies when radiating in all directions. Other values of 8 would
show, for example, whether ESP decreases over the distance
rapidly or slowly; uniformly over any distance; with a rapid decline
at first, sti to a slight decline, etc.
Dr. Turner kindly volunteered to evaluate the survey data repre-
sented in Table 1. The evaluations were done in accordance with
his model, and the steps are outlined in the Appendix. He found
that the following trends occurred:
1. ESP scores are significantly related to distance.
2. “Extrasenso perceptivity or “power constant” 7# = 0.608.
3. “Proportional i Ege which “indexes the class of distance
ws,” 5 = —0.398.
4- Some chance variation (error variance) could, of course, affect
the magnitude of 8, Its true value most likely is within the usual
statistical confidence limits, At the 95% confidence limit, the
true 8 should be somewhere between the following values:
P{—409 < 8 < —.387} = .95.
ESP Over Distance: Survey of Experiments 29
At the 99°, confidence limit, which is more conservative, the
finding is: P{—.416 < 8 < —.380} ~ .99. : j :
5. Turner calculated on the basis of statistics the way in which
the average run score would with distance. The predicted
mean run score, as a function of distance x, is: hy = 5e%8=;"",
where ¢ is the base of the natural logarithm.
Turner concludes that 5 = —.4 = —2/5 seems to be as good a
choice as any for describing the ESP distance law; in other words,
ESP obeys the inverse two-fifth’s law in the data of Table 1.
Let us sum up: In the data evaluated, there is a significant
relationship between ESP scores and the distance between subject
and stimulus. ‘The relationship indicated is not of the usual inverse
“square type, but more like that of an inverse two-fifth’s. In other
words, in these experiments the ESP scores decreased somewhat less
than by the inverse square root of the distance.
_ The crucial question arises: Can we generalize from the results
of this survey sample that ESP effects are inversely related to dis-
tance? The limitations and weaknesses of the published data have
been pointed out above. In my opinion the data are too scant and
ive to warrant safe conclusions as to ESP in general.
These same data have been the basis for the Zeitgeist interpre-
‘tation that ESP is independent of distance Sten Tugner's
analysis does not su the independency hy is at all; i
‘anything, what is in Pied is the dependency of ESP on distance.
ever, Turner’s evaluations set a challenging example of what
can be extracted from the data of better-designed future experi-
ments, aimed at the channel factor in ESP.
1 Ss the S Subj Two Different Dis-
gh of cores ihe ubject over Two Differ
__ In the data presented in Table | variables associated with
the subjects (individual differences, attitudes, etc.) are neither
i nor statistically controlled. The first distance class is
filled exclusively with the scores of some of the best subjects
ever known in parapsychology. This factor alone might explain the
scores in this class. .
we could sufficiently balance factors other than distance
influencing ESP scores, and at the same time vary only the distance
between subjects and targets, much more dependable information
would be obtained. I do not know of any published experiment
where this requirement was fully met. The closest approximations
to it are the cases in which the same subject has guessed cards at
two different distances within one experiment.
were seven such cases in the surveyed publications (see
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30 Journal of the American Society for Psychical Research ESP Over Distance: Survey of Experiments 31
of kit at ‘Table 2). In cases | and 2, and in the Antwerp Series of 3, near
3 S=8 3 SRS| = and far distances were not used in the same session. In the Cam-
addi ¥ oa] & bridgeSeries of case3,and in case 4, the long-distance calls were done
t in the favorable first half of the session and the near-distance
calls afterwards. In case 1, the procedures are only sketchily des-
8 eribed. In case 3 (Cambridge Series) some synchronization errors
z = m have interfered with the distance part of the experiment.*
Only in case 3 (Antwerp Series) did the same agent look at the
targets at both distances.
is kind of comparison clearly indicates the same trend as in
distance
} previous analyses. In all asthe scores at the loge
are than the scores for the near-by — (Table 2 and Figure
2). In five out of seven cases the scoring differences are individually
5 significant (in one case P < .05; in four cases P < .01). The CR of
ewe difference of the total is 7.16. The consistency of the trend is
“aad ZZA Mest Satemes
a Es to Y
: - Y
y
5 7“ Y
i Y
: ‘ Y
: Y
: ]
d pt sd yr
2. ESP scores of the subject different distances -
_ There is in Table 2 a considerably smaller number of variables
that could account for the differences observed than there is in
Table 1. Nevertheless, these differences still might be explained
in terms of the subjective variables only.
The most serious counterhypothesis is raised by J. B. Rhine and
? If we exclude case 3 (Cambridge Series) from the analyses, the findings will
not change.
et
ant at the 0S level.
Experiment
1 (16
5 (16)
(19)
Pratt Series (39)
Antwerp Series
Haeckel Exp. (
Totals
average scores, average differences, and CR¢'s were rounded for sake of convenience in presentation; hence, they will not
ibson: Sub
Sub
Sub:
Rhine.
No.
1 G n: j
2 ine, :
3 Soal, :
series (50)
4 Osis: . (31)
£h er vmracts with Give aiteenative cholees ace inctaded:
check
** Significant at the .01 level
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32 Journal of the American Society for Psychical Research
others (36, 50, 59) to the effect that the subject’s attitude toward
the distance condition could in itself explain any scoring trends
observed. This is a sound hypothesis, but it still lacks empirical
validation. For example, if the subject feels challenged and alerted
by the task of “overcoming distance” by ESP, he might on this
account score best on distance targets. On the other hand, if
he is adversely affected by the frustrating situation of distance
ESP, the scores might go down. The importance of the attitude
factor in distance telepathy was already recognized by E. M.
Sidgwick and A. Johnson in 1892. At that time they called it
“'... the effect of the distance on the imagination of the agent or
pid cu eel (46, p. 547).
¢ obvious way out of this difficulty would be to set up exper-
iments in which the variables of distance and attitude are con-
trolled. We could ascertain the subject’s attitude and take it into
account in statistical assessment; and by the same token we could
also find out what the subject habitually does when confronted
with a frustrating situation, since distance ESP targets are frustra-
ting for most subjects,
Alternative-Choice-Tests Not Included in the Main Evaluations
In addition to the standard card tests with five alternative
choices, playing cards, clock cards, numerals, letters of the alphabet,
etc., have been used in distance experiments, with the number of
alternatives varying from two to eighty. Scores on these tests are
not directly comparable, nor do the tests provide enough data
to permit grouping in distance classes. Furthermore, very few of
these experiments satisfy the minimum requirement of twenty
runs. Nevertheless, I want to mention some of this work even
though its relevance to the distance problem is slight.
Experiments with separate scores on two p wei provide
more useful material for compere we can easily detect the
general trend; that is, which of the two scores is lower. However,
unified statistical treatment is not possible here because the
probabilities of hitting are so heterogeneous and the reported
statistics so varied. Therefore, only a simple tabulation of the
igher and lower scores is noted.
n 1938 R. Shulman (45) performed ESP experiments using
sound stimuli with five alternative choices over distances from a
hundred to four hundred yards. These were compared with tests
using screened color ESP cards, where distance was not involved.
Unfortunately, there is very little known about ESP and auditory
stimuli, as nearly all ESP experiments have utilized visual stimuli.
We cannot include Shulman’s data in the main evaluations because
ESP Over Distance: Survey of Experiments 33
stimulus and distance variables were confounded. However, his
results follow the general trend of decline already observed in the
survey: 345 runs, no distance, average score: 5.17; 223 runs, over
distance, average score: 5.08.
_ Some experiments with ESP cards (25) and with other cypre sf
cards (14, 15, 29) obviously involved distances, but either e data
‘were not separated into distance categories or the distances were
not stated. ;
F. L. Usher and F. P. Burt (56) in 1907 performed a pioneering
i iment with playing cards over distances ranging up to
; ‘The number of trials was very small: 36 trials, in the same
‘room, 9 complete hits; 60 trials, over distance, 4 complete hits.
(This involved multiple calling of some cards.) The trend is obvious.
J. E. Coover (11) reported in an appendix to his larger work
a brief experiment using playing cards with the face cards omitted
(P = 1/40). The distances varied from twenty-seven to ninety
‘miles. He obtained 5 hits in 149 trials. The scores on the various
distances are not clearly separated in the report. :
S. G. Soal (49) performed distance tests involving free material
and a few playing card trials in the early 1930's. His evaluations
‘are much too complex for this review, but he concluded that in his
data there was no evidence that ESP functions at any distances.
In 1932 'T’. Besterman (2) published the results of an experiment
between London and Athens. The stimulus material consisted of
pictures with twenty alternative choices. There were 674 guesses:
deviation was —4.7. No distance comparisons were made.
C. B. Nash (30) in 1961 followed up the star subjects in Chese-
brough-Pond’s ESP television contest with distance tests using
the numbers 0-9 as stimuli. In 180 runs he obtained a deviation of
—41, associated with P = .04. Further, twenty subjects at a dis-
tance ranging from 6 to 520 miles had a deviation of —16, and
nineteen subjects at a distance from 680 to 2400 miles had a devia-
tion of —25. A very slight non-significant decline effect seems to be
present, but the numerically larger negative deviation is associated
with the greater distance. Nash’s test was meant to be a test of
GESP; however, the instructions to the subjects were like those
devised for precognition tests, emphasizing future comparison.
D. Michie and D. J. West (27) performed in 1957 a mass tele-
vision ESP test, and followed up their star subjects. Clock cards
were used as stimuli in the follow-up. One high-scoring subject,
Mr. Downey, was extensively retested. His ‘mean di ce score
deviation” over a distance of approximately a hundr miles was
0.8125; at no distance, 0.7627. The difference is extremely small
and in the opposite direction from the general trend of this survey.
In 1963 A. E. H. Bleksley (3) reported an experiment on long-
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34 Journal of the American Society for Psychical Research
distance ESP during sleep. This involved the subject’s awakening
each night at a certain time randomly selected by the experi-
menter in Johannesburg, South Africa. During the first series
the subject was traveling from South Africa to Holland; distance
varied and were quite great, up to five thousand miles. During th
main series the subject remained in South Africa at a distance o
nearly a thousand miles. Bleksley’s evaluations are too involved
to describe in this survey, but more ESP success was reported at
the constant, but shorter distance. Bleksley gives plausible psy-
chological explanations for this difference: He met the subject
only after the series at the longer distances was completed.
G. L. Mangan (21) performed a distance experiment over approx-
imately 2150 miles. He used dual-aspect targets with 1/5 probability
of hitting each aspect and 1/25 for hitting the whole card. The
subject was instructed to make one guess a day for a hundred days.
Ninety-five trials were scored and resulted in 13 complete hits,
with 3.8 expected by chance. This result is associated with P=
.000002. Partial hits, as well as displacements, were also evaluated.
The number of trials is too small for inclusion in the main evalua-
tions. However, the rate of ESP scoring over so long a distance
is very high indeed and this small experiment stands out as very
impressive evidence for long-distance ESP.
Experiments Using Free Stimulus Material
Distance experiments with free material are numerous, but
difficult to evaluate. Most reports do not include quantitative
evaluations. In cases where quantitative evaluations are given,
subjective judgment on the part of the judges is always involved,
leaving room for an alternative interpretation—the judge’s own
ESP exerted during the judging process. Of course, the judge’s
ESP influence is less likely to be a factor in experiments where
complete similarity between response and stimulus is demanded, as
in M. C. Marsh’s main evaluations (22, 23).
Distance tests with free stimulus material were attempted as
early as the 1880's by S.P.R. researchers, and F. Podmore’s book
(33), published in 1902, contains an entire chapter summarizing the
results of many attempts to produce “telepathic effects at a dis-
tance.”” The Miles-Ramsden series (28) was a later long-range
exploration of the same . R. Warcollier’s experiments (58)
in the 1920's and 30’s with free material made many useful contri-
butions to the field of parapsychology, but their lack of quantitative
assessment makes them useless for distance comparisons. The same
is true for the Sinclair experiments (34, 47).
Methods of of evaluating free stimulus material did not reach
ESP Over Distance: Survey of Experiments 35
maturity until the 1940's (5, 6, 7, 8, 51, 52). The first distance
eat y of sophisticated design (drawings as stimuli) was pub-
by W. Carington in 1940 (5) and further similar research in
el as papers (6, 7, 8, 10). The statistical assessments yielded
highly significant measures. The distances between target
“material and subjects varied widely from rather small to transatlantic.
Carington did not seem to be particularly interested in the
‘distance factor and evaluated it only in a small, highly-selected
portion of his data, Duke Group, Series IV-A (5). The twelve Duke
‘subjects (longer distance) scored significantly better than the rest
of the 105 participants, located in England and Holland. This result
certainly falls in line with the Zeitgeist, but it does not reflect
on the experiment as a whole because we do not know what dis-
tance trends may be hidden in the data. Moreover, Carington’s
methods, particularly his catalogue technique, have been severely
criticized by 5S. G. Soal and F. Bateman (50) and by the Board of
Review of the Journal of Parapsychology (4). In the face of these
‘difficulties, I refrain from stating my personal position and t
‘Carington’s own conclusion: “Distance makes no difference” (9,
69).
4 Carington’s experiments were repeated twice by A.S.P.R. ri-
menters. The first repetition, by E. Taves, G. Murphy, and L. A.
Dale (53), a large-scale experiment with 272 subjects and 8723
‘responses, did not yield significant results on the main measures
taken. No distance breakdown was performed.
G. R. Schmeidler and L. W. Allison (44) undertook a second
trepetition in which they followed Carington’s method more closely.
His catalogue method, which has not withstood later criticism (50),
was used. The experiment as a whole gave significant results
(P = .012). When the agents and subjects were in the same build-
ing, the average score was .484; when the subjects were in “the
New York area,”’ the average score was .125; and when the subjects
were scattered over the U.S.A. (including some in New York),
the average score dropped to .062.
J. H. Rush and A. Jensen (42) performed a reciprocal drawing
experiment of fifty trials over distances of 200-500 miles, Assess-
‘ment gave P = .002. No distance comparisons were made.
M. C, Marsh developed a well-designed experiment with draw-
ings as stimuli, and used a distance of 470 miles. This is documented
in his Ph.D. dissertation (22) and also in a brief published report
(23). Marsh’s 371 subjects achieved “133 raw A hits on the targets
used in the experiments, as against 37 hits on the unused control
” (23, p. 8). Marsh used several statistical assessments
which proved to be highly significant. No distance comparisons are
possible.
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36 Yournal of the American Society for Psychical Research
On the whole, in distance experiments with free stimulus material
the quality of the evaluation methods is very uneven; in many of
them evaluation is inadequate by modern standards or lacking
altogether. Therefore, this area of research is not a particularly
fruitful one for probing the distance problem, although it does seem
to give us some clues.
Trends in the Data Not Included in the Main Evaluations
The experiments not included in the main evaluations (Tables |
and 2), but which have been briefly described, are so h c-
neous that unified quantitative analyses seem impossible. For that
reason this section was nicknamed the “‘Tidbit Basket!’’ However,
the experiments in which two Ringe rel were used erent Sarena
to comparison by a ranking m ; that is, it is possible to deter-
mine which polis at which distance within each experiment
ranks higher. Table 3 summarizes the ranking efforts. Of the
Table 3
Exvesiments Usinc Two Distances, Not Inctupep iy Mar Evatuations
No. of Higher Score ‘
Experiment Alternatives Qualifying Comments
Near Far
2 En eet
Shulman (45) 5 x Sound stimuli for far tar-
fat visual for near
Usher, Burt (56) 52 * trials only
Nash (30) 10 * Negative deviation numeri-
y larger for far subjects
ie, W 1 12 x i between suc-
mod ae Coept Ciak) and unsuc-
cessful (West) experimen-
ters
i Personal contact with sub-
an ©) Poe x ject only after far series
Carington (5) free Slanted selection of data:
material | x only one group (Duke) in
one series evaluated for
distance
Schmeidler, free Use of Carington catalogue
| x method
Allison (44) material
seven experiments included in this table, five yielded higher
scores on the near-distance targets, and two gave higher scores on
the long-distance targets. Difficulties of interpretation are summar-
ized in qualifying statements in the right-hand column of the
table.
ESP Over Distance: Survey of Experiments 37
Discussion
In a careful analysis of the relevant experimental data it was
noted that ESP scores seem to decrease quite uniformly with in-
creased distances. On the other hand, in sampling opinions about
the relationship between ESP and distance, we find that most
researchers express a view opposite to the direction the data take.
W. Carington’s statement is quite representative of published
opinion: “Distance makes no difference. All workers seem to be
agreed on this” (9, p. 69). A few leading experimenters, however,
such as S. G. Soal (50) and D. J. West (59), insert cautious clauses
to the effect that it is likely, but not definitely established, that
distance makes no difference. In the French school there have been
dissident voices, among them those of R. Kherumian (19) and
R. Amadou (1), who said: “Our conclusion would, then, be simple
and prudent. It has not been proven whether distance affects or
does not affect the intensity or the intelligibility of a telepathic
-
message ...” (1, p. 223). ;
What is the reason for this discrepancy between the trends in
the data and the majority of opinions? In part, as I pointed out
above, it seems to be caused by our cultural inheritance, or Zeit-
geist. Philosophers such as Kant, Schopenhauer, von Hartmann,
and others have stressed the idea that ESP goes beyond the sub-
jective forms which we call space and time. In part, the confusion
‘seems to arise from our expectation that a decrease in ESP scores
is an either/or situation: that a decrease in scores over distances
either will be tremendous or will not occur at all. The logical possi-
bility that a decrease in ESP efficiency could, in fact, be quite
‘moderate has been overlooked. G. R. Schmeidler clearly
perceived the di of detecting such a decrease: “If, for exam-
ple, psi is really proportional to distance or time raised to some
} power, where the value of the fraction is small, very
‘wide experimental variations will be necessary to detect any
effect" (43, p. 111).
Another possible root of confusion may lie in unsystematic
interpretations of the data. A logical way to deal with the results
‘would be to ascertain carefully the trends in the data when distance
between the stimulus and the percipient is introduced, and only
thereafter to look into the causative factors responsible for the
trends. For example, if the scores do decline with distance, we
cannot tell immediately whether to ascribe this decline to subjective
factors, such as attitudes, beliefs, feeling “‘on the spot,” etc.,
or to the channel factor—the hypothetical energy which connects
stimuli and percipient. In practice, we tend to jump quickly to this
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38 Journal of the American Society for Psychical Research
second level of interpretation without carefully and thoroughly
investigating at the first level. Very little work, if any, has been
done on the third level of interpretation; that is, evaluating jointly
the subjective factors and the channel factor, and their interactions;
nor has much effort been made to analyze in a reliable way either
the components of the subjective factors or the possible components
of the nel factor. Some quite sharp theoretical analysis of the
channel factor has been done, such as that of H. A. C. Dobbs (12),
B. Hoffmann (17), J. H. Rush (41), and L. L. Vasiliev (57). Their
hypotheses, however, have not been followed up experimentally,
except in an often sporadic way by Vasiliev.
e need for clearly restating the problem and devising sharply-
delineated hypotheses and modern means for testing them is
great indeed. Turner’s model (see Appendix), upon which the
main evaluations in this paper are based, is one attempt. Let us
remember that Turner's approach keeps strictly within the data
description level; that is, the first order of interpretation. So far
as I know, he is the first to propose such a detailed and mathemat-
ically sound description of data concerning ESP over distances.
He has carefully avoided any confounding of the first-order inter-
pretation by the other higher-order interpretations mentioned
above. I think this is a desirable approach.
It is possible to design experiments in which variables are ascer-
tained that will permit mathematically precise data descriptions
and also will generate second- or third-order interpretations. For
example, in my forthcoming paper, to be published in the next
issue of this Journal, I describe an experiment incorporating sta-
tistical control not only of some of the attitudes and personality
variables, but also of some of the components of the channel varia-
bles, i.c., distance in space and time and their interactions. This
is just a small beginning. Nevertheless, the twin problems of ESP
over distance in space and time and of ESP orientation (how to
find a particular point in space) present themselves as very challen-
ging and promising tasks. A sound and systematic approach to
these problems will probably establish clear-cut trends in the ESP
channel factor. This would permit a definitive and precise theoret-
ical analysis in scientific terms, which is not possible at present.
Only when enough bricks are properly made can one build a sound
structure.
There are breath-taking possibilities for a future theory of the
ESP channel factor. For example, will an unknown energy be
Le a with the aid of modern communication-theory tools
such as precise energy expansion curves, signal-to-noise ratios,
etc ? Will a new additive dimension be found in line with the hypo-
theses of Chari, Hart, and Smythies? Or will a qualitatively different
ESP Over Distance: Survey of Experiments 39
structure-giving principle emerge such as Driesch's Seelenfeld,
Jung’s “‘other-valued reality,” or Tyrrell’s “Elsewhere” ? There is
ty of room for a variety of approaches to the channel factor.
t seems to be a ‘‘many splendored thing.”
This survey does not pretend to give final answers to questions
concerning ESP and distance, or to the specific question of the
relationship between distance and the channel factor in ESP. But
it has succeeded, I hope, in its intent to clear the ground and estab-
lish the available empirical trends as a basis for new creative think-
ing and better future experiments.
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transmitted
units determined by the base of the logarithm used in the definition
(1) or (2); here the units are natural units or nits). Solving (2)
for the mean scoring level at the i” distance gives
Appendix: A Statistical Model for Examining the
Relations between ESP and Distance
M. E. Turner, Jr.
We consider a standard card-guessing experiment ormed
at several distances between objects being guessed and guessing
subject. We suppose that it is of interest to investigate what relation
(if any) holds between success at guessing and distance. We assume
that the experiment has been carried out in such a way (the usual
practice) that in the case of no ESP the chance of success on a
oh trial, p,, is a constant at all distances (with the standard
e cards p
= 0.2), and the number of successes y, out of n,
trials, at the i” distance, has a binomial distribution.
Now, if ESP occurs, y, will still have a binomial distribution
we will assume) but the probability of success will be changed
m p, to p(x,), a function of the distance x, For a binomial
variate the mean is given by np. ‘Thus, in the case of ESP we ma
say that the mean scoring level is changed from the chance level,
(¥) = "Pp, to a new level, M(y,) = mip(*,).
We now describe this change in mean scoring level in terms
of the change, », in probability entropy. We define (cf. 1, pp. 2-4)
» by the relation
1 = —log.[p(*:)/Pe), (1)
or, in terms of mean scoring level,
1 = —log.[M.0)/mP-). (2)
We note that increasing the scoring level decreases the amount
of probability entropy (the negative of the change in probability
entropy is sak y referred to as the amount of information
an
like the probability entropy itself, is measured in
MA) = pe. (3)
By equations (2) and (3) we can express the change in probability
‘entropy in terms of the mean scoring level, or the mean scoring
level in terms of the change in probability entropy, at the #
distance.
Let us now postulate a class of possible relations between the
change in negative entropy and the distance, and hence by (3)
between the mean scoring level and the distance. We suppose
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44 Journal of the American Society for Psychical Research
a the change in negative entropy obeys the “general distance
w"":
dn, ‘
eer “)
where 6 is a proportionality constant and yé is an origin adjustment
for the distance scale. The integrated form of (4) is found to be
m = — a(x, — ¥5)%; (5)
m is a constant we may term the “extrasensory perceptivity”’
and is a measure of the ‘“‘power"’ of the object-subject system in a
particular situation. It may be seen that the proportionality constant
8 indexes the class of distance laws. For example, if 5 = —2, (5)
becomes the familiar “inverse square law” so useful in describing
the decrease in the radiant energy of light. If 5 = 0, no increase
in probability entropy occurs (this case corresponds to the state-
ment: “ESP is not related to distance”). If 8 = —1, the relation
is hyperbolic; if § = +1, the relation is linear; if 5 = +2, the
relation is parabolic; and if |5| —> o, the relation is exponential.
All intermediate cases are also powelle A discussion of this
family of curves has been given by ‘Turner, Monroe, and Lucas (2).
Combining (3) and (5) we obtain the general distance law for
mean scoring level
MAy) = npr. (6)
Consider two examples. If 6 =0 (no effect of distance), (6)
becomes
MAy) = 1h"; (7)
that is, the mean scoring level is equal to the mean chance scoring
level multiplied by a factor which is the antilog, of the extrasensory
perceptivity. If 6 = —1 (the hyperbolic case), (6) becomes
My) = mpeier™. (8)
Other special cases follow similarly.
Now the practical problem of investigating the ESP-distance
relation given a set of ESP scores at different distances can be
solved using the model (6) and appropriate statistical procedures.
Model (6) can be fitted to the data yielding estimates of the index
of law & (thus identifying the most plausible law). In addition
confidence limits for 5 can be obtained identifying the class of
lausible laws. If these limits contain zero the hypothesis of no
P-distance relation cannot be rejected. Estimates and confidence
limits for the extrasensory perceptivity 7 will also be of interest.
Consider N scores y,, Vg, .--, ¥v at N distances x,, X, .... *n-
The likelihood function is given by
ESP and Distance: A Statisucal Model 45
1 na ag ele
That choice of values for y, 5, and + which makes the likelihood
function a maximum may be taken as the most plausible choice
(likelihood principle). In practice finding such a choice may involve
rather tedious computations.
A simpler approach will be developed here as an approximation
to the use of the likelihood principle. We will restrict attention to
the case y = 0 (no distance adjustment needed; exponential law
excluded) although this approach can be modified for the case y
nonzero.
We divide (6) through by m,p,, take logarithms twice and then
set y = 0. We obtain
loge log (Me) — tog, + 8 log x, (10)
a linear form.
In (10) we now replace M,(y,) 24 the observed estimate y,,
the scoring level at the # distance. The relation (10) is no longer
exact so we absorb the discrepancy by a residual element ¢; to give
log, log,( =) = log, + Slog x, +<¢,, (11)
a linear regression model. Note that (11) is defined only for y, >
n,p,. For w sufficiently large and for large samples this will usuall
be the case. For other cases the procedure will have to be modifie
Let the left side of (11) be denoted by Y, and log x, by X,. Then
we rewrite (11)
Y, = log, # +8X,+«. (12)
Now we will use standard linear regression procedures to fit (12),
providing estimates of the slope 6 and the intercept loge =
(and hence = itself), and to provide confidence limits for 5.
The variance of «, can be approximated using the following
“propogation of error” argument.
see _«s
bas am ~ ¥log(yi/miPe)’
and
Vie) = Vo) A
"= (MG) log [MAy)/np J}?
But the V(y,) =M,(y)[1—M.(9)/m). So
V(<,) = ee er (13)
* MAy,) (log [M.Ay0)/mibel}
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46 Journal of the American Society for Psychical Research
Since V(e,) is not constant it is appropriate to perform a weighted
regression analysis using as weights 1/V(y,). However, V(¢;) is a
function of the unknown constants 7 and 4; so as a further approx-
imation we suggest using as weights
_ Yillog.(yi/miPe)]?
oat worse (14)
Now we compute in stepwise fashion:
(1) Raw sums
= w; = w,X, ‘7 p> W, Y,
z= w,X, Py = w xX i Y;
= Wy Y?
(2) Corrected sums
S., = De,X7¥;— (2 w,X,)(2w, ¥;)
>> WW,
Snesene. See
vy i+¢ > w,
(3) Estimates of parameters
§= Szy/Sez
# = exp{[d mY, —§ 2D w,X,)/ Dw)
(4) Confidence limits for 5
SSR = 5S,
SSE = S y— SSR
sg = SSE|((N — 2)Sz2]
t.(N — 2) = t = tabular value of “Student’s” ¢ at the
a significance level with N-2 degrees
of freedom
§ — tss <8 < § + tsy with 1 — a confidence
Then any value of 5 lying within the limits of the above inequality
has plausibility as great as or greater than 1 — a.
REFERENCES
1. Kurncuin, A. I. Mathematical Foundations of Information
Theory. New York: Dover Publications, Inc., 1957.
2. Turner, M.E., Monroe, R. J., and Lucas, H. L. Generalized
asymptotic regression and nonlinear path analysis, Biometrics,
17: 120-143, 1961. Cf. especially pp. 124-128.
Emory University
Atlanta, Georgia
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