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Gender Differences in Human/ Machine Anomalies
Journal of Scienti ® c Exploration, Vol. 12, No. 1, pp. 3± 55, 199 8
0892-3310 /98
© 1998 Society for Scienti® c Exploration
Gender Differences in Human/Machine Anomalies
B RENDA J. D UNNE
Princeton Engineering Anomalies Research, School of Engineering and Applied Sciences,
Princeton University, Princeton, NJ 08544-526 3
Abstract Ð Assessment of 270 individual databases produced by 135 human
operators in five local and four remote human/machine an omalies experi-
ments conducted in t he PEAR laboratory between 1979 an d 1993 reveals
several significant gender-related differences in performance. Alt hough t he
140 databases produced by 62 females are much larger on average than t he
130 produced by 73 males, t he male average results display sign ificantly
stronger correlations wit h the operators’ pre-recorded intentions to shift t he
output distribution means of a variety of random devices to higher or lower
values. Bot h groups demonstrate greater success in t he high-intention ef f orts
than in t he low, but whereas a majority of t he males succeed in bot h direc-
tions of eff ort, producing intentional results that are relatively symmetrical in
com parison wit h t heir empirical baselines, m ost of th e females’ low-inten-
tion results are opposite to intention. The baseline data generated by t he
males largely concur wit h calibration and theoretical expectations, while t he
females tend to higher than chance values. The female data also frequently
display larger score distribution variances. These disparities are more pro-
nounced in five local experiments than in four remote databases. No gender
differences appear in two experiments that yield null overall results, suggest-
ing t hat t he gender-related patterns observed in th e successful experiments
may be indicative characteristics of the primary human/machine an omalies.
Keyword s : gender Ð human/machine interactions Ð engineering an omlies
research
Introduction
The Princeton Engineering Anomalies Research (PEAR) program was estab-
lished in 1979 to assess the potential vulnerabili ty of sensitive engineering
sy stems and information processors to an omalous influences associated with
the consciousn ess of their human o perators. This engineering orientation has
f ocused mainly on the physical parameters of t hese human/machine interac -
tions, rather than on possible psychologica l or physiologi cal correlates, ot her
than t he primary variable of o perator intentio n. All of these human/machine
experiments involve carefully calibrate d devices based on well-under stood
physical processes, each capable of rapidly generating, displaying, and record-
ing extensive sequenc es of random events. Volunteer human o perators at-
tem pt, solely t hrough consciou s ef f ort, to shift t he output distribution means
of these devices to higher or lower counts, or to generate an undisturbed base-
line, in accordance with pre-recorded intentions, and t he data are t hen
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B. J. Dunne
exami ned for statistical correlations between those intentions and device per-
f ormance. Although t hese databases are extraordinaril y large, con sistent with
t he need for reliable statistical estimates of minuscule ef fects, they have been
pr oduced by a relatively small number of o perators. S pe cifically, nearly 20
million exp erimental data points, generated between 1979 and 1993 by some
135 o perators on a variety of such physical systems, have provided persuasive
s tatistical eviden ce for small but repeatable shifts of the output distributio n
means t hat correlate with the o perator intentions.
Pr evious examination of the individual operator contributions to these data -
base s established t hat t heir ef fects distributed normally around the shifted
means, im plying that a majority of the o perators contributed incrementally to
t he overall results, in contrast to any dominating perf ormances by a few excep-
tional o perators [1]. While some qualitativ e indications of characteristic d if-
fe r ences in individual perf ormance were noted, particularly among the more
pr olific o perators, t hese proved diff icult to assess quantitativel y because of
t he small signal-to- noise ratios involved. Nonetheless, since t he o perator
pool i s fairly evenly com posed of 72 males and 62 females, there is an ade-
quate basi s for exploring possible collective diff erences in perf ormance as a
function of gender .
The study reported here was also motivated by a body of so-called ª co-o per-
atorº experimen ts, wherein pairs of operators addres sed t he tasks with shared
intentions [2]. Beyond providing further confirmation of an omalous correla-
tions between o perator intentions and mean shifts, t hese studies showed no
evidence of any sim ple additive ef fects o f individual o perator perf ormance ,
but did provide strong indications that o perator gender may be an im portant
contributing factor. For exam ple, o perator pairs of the same sex tended to pro-
duce null results, trending insigni ficantly in the directions o pposite to inten -
tion. Opposite-sex pairs, on the ot her hand, produced significant overall re-
sults in t he desired directions, with ef fects considerably larger than those
generated by these same individuals working alone, and this enhancem ent of
ef fe ct size was strongest when t he two operators shared a deep emotional bond
wit h each ot her. Anot her curiosity of t hese o pposite-sex data was a relative
symmetry between t he high- and low-going achievements, unlike the asym-
metrical yields frequently observed in the single-o perator experiments where
one intention was typicall y found to produce considerably stronger results
than t he ot her. Prom pted by these f indings, a com prehensive evaluatio n of all
of PEAR’s existing databases has been undertaken to assess the relative per-
f ormance of its male and female o perators over nine diff erent experiments
whose design, protocols, and overall results have been detailed previously [3-
8].
Methodology
The most direct assessment of male/female differe nces in perf ormance
would appear to be a sim ple com parison of t he com posite results of t he two
Gender Dif ferences
5
gr oups for each experimen t via a sim ple z -scor e calculatio n for t he differ -
ence s. However, these com posite values are strongly weighted by substantial
di sparities in the sizes of t he individual o perator databases, which can easily
di stort their interpretation. More informative indications of the relative contri -
butions of t he male and female o perators can be obtained by examining their
r esults on an individual basis and t hen com paring the average yields and t he
pr oportions of o perators in each gender group who produce results correlating
w it h intention. This proportional approach also permits comparisons across
div erse databases where calculat ions of ef fects are necessarily based on differ -
ent scale s.
In t he sections to follow, t he results of each of nine distinct experiments are
pr esented by gender, both in terms of their composite and average results, and
as summarie s of the proportional yields of t he individual o perators. (Full de-
tails of t he individual results are available in a Technical Report [10]). It
should be n oted at the outset that most of t he experimental databases are rela-
tiv ely small in terms of the numbers of contributi ng o perators, and thus t he
s tatistical results based on these proportions frequently entail large error bars .
It should also be n oted t hat many of t he operators participated in more t han
one exp eriment, but since all of t he experiments are independent of each ot her,
each operator-experime nt database is treated as a separate entity. This ap-
proach results in a total of 270 individual contributions over nine separate ex-
periments, 130 from male o perators and 140 from female, com prising a more
robust base for overall statistical assessment of gender contributi ons.
1. Random Event Generator Experiments
The most extensive PEAR databases have utilized a microelectronic random
event generator (REG) as the target device [3-6]. The ª benchmark º experi -
ment comprises more than 2.5 million trials, each consisting of 200 random bi-
nary sam ples. These data were generated over a 12-year period by 91 o pera-
tors in 522 independent experimental series ranging in size from 1000 to 5000
trials per intention, depending on the protocol involved. (In all PEAR experi -
ments, a ª seriesº is the pre-established evaluative unit, each constituting an in-
dependent replication of the basic experiment.) The benchmark REG databas e
was accumulated over three distinct experimental phases which differe d in
terms o f series size, run lengt h (t he number of trials produced automatically as
a result of a single initiating button push), and the number of secondary o p-
tions available to t he o perator, e.g., run lengt h, automatic or manual o peration ,
volitional or instructed assignment of intention, or t he available modes o f vi-
su al feedback on the machine face and its accom panying com puter screen.
How ever, all the experiments followed the same basic tri-polar protocol in
which the o perator was seated in the same room as the device and generated
data under three distinct intentions: attem pts to shift t he mean of t he output
distributions in the positive directio n (HI), in t he negative direction (LO), or to
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B. J. Dunne
produce a baseline (BL) under no directional intention, with all ot her condi -
tions held constant for the duration of a given series .
Of the 91 o perators who contributed to this database, 50 males produced a
total of 228 series, or approxim ately 327,000 trials per intention , and 41 fe-
males generated 294 series, or approxim ately 506,000 trials per intention .
(These numbers are approximate because in some of t he earlier series a ran-
domly assign ed instruction for the direction of each run resulted in unequal
numbers of trials per intention; a later modification of the program guarantee d
equal numbers of trials per intention in this ª Instructedº mode.) The com pos-
ite results of t his database , as well as the relative contributi ons by male and fe-
male o perators, are summarized in Table 1. The ª normalized deviation, º d c ,
utilized here is sim ply the deviation of the com posite experimental mean from
the theoretical expectation of 100, multiplie d by 10 0 for convenienc e of tabu -
lation. It provides an indication of t he magnitude of the deviation achieved,
but is vulnerabl e to statistical uncertainty for small data sets. 1 The ª z -scoreº ,
or z c , def ined as the deviation of t he com posite experimen tal mean from t he
theoretical expectation n ormalized by t he standard error, , where s 0 is the t he-
oretical trial standard deviation and N is the number of trials in t he given data
set, provides a more reliable indication of t he statistical signifi cance of t he
achieved deviation over databases of varying sizes but, as noted above, can ob-
scure t he absolute magnitude of achievement in the smaller data sets. These
two indicator s, d c and z c , thus com plement one anot her for interpretation of
the results.
Ta ble N ot es. In t his and subsequent tables, achievements in the direction of
ef f ort in the high intentions (HI) and in the high-low diff erences (HI-LO) are
indicated by positive deviations and z -scores, and in the low intentions (LO)
by negativ e numbers. Positive numbers in t he baselines (B L) indicate results
higher than the theoretical mean. Results o pposite to intention, or lower t han
the t heoretical expectation in the baselines, are indicated by parentheses .
Those z-scores exceeding t he one-tailed p <.05 criterion (> ± 1.6 5 ) in the direc-
tion of intention, and their associated probabilities, are noted by asterisk s ( *) ;
z -scores > ± 1.65 o pposite to intention are indicated by daggers (² ). Probabili -
ties for intentional ef f orts are calculated on a one-tailed basis; those for base-
lines, where there is no directional expectation, are two-tailed, wit h a p <.05
criterion of z > ± 1.9 6.
These com posite results suggest t hat while both groups produce com para -
ble results in the LO and BL, t he female operators are collectively more suc-
This n ormalized deviation is similar to the standardized ª effect size º def ined by Rosent hal [11], ex-
cept that his version is normalized by the t heoretical trial standard deviation, s 0 , while ours is
normalized by an arbitrary constant for convenien ce in tabulation. Since s 0 is itself a constant of t he ex-
periment, the normalized deviations, d c , and standard ef fect sizes , e , are related by the constant ratio of
d c / e = 100 s 0 = 707.1.
1
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Gender Dif ferences
7
TABLE 1
Composite Results of A ll Local REG Experiment s
HI
BL
LO
HI - LO
All Operators (522 Series )
Number of Trials ( N )
839,800
820,75 0
836,650
~837,8 25
Distribution Mean (µ)
100.026
100.013
99.984
.042
Normalized Deviation ( d c )
2.6
1.3
± 1.6
4.2
Std. Dev. Trial Scores ( s )
7.070
7.074
7.069
9.998
z-Score ( z c )
3.369
1.71 3
± 2.016 *
3.809*
Probability ( p )
4 ´ 10 - 4 *
0.086
0.022*
7 ´ 10 - 5 *
50 Male Operators (228 S eri es )
Number of Trials ( N )
331,650
316,75 0
331,300
~331,4 75
Distribution Mean (µ)
100.015
100.011
99.983
0.032
Normalized Deviation ( d c )
1.5
1.1
- 1.7
3.2
Std. Dev./Trial Scores ( s )
7.060
7.064
7.064
9.987
z-Score ( z c )
1.228
0.865
- 1.424
1.875*
Probability ( p )
0.110
0.386
0.077
0.030*
41 Female Operators (294 S eries )
Number of Trials ( N )
508,150
504,00 0
505,350
~506,75 0
Distribution Mean (µ)
100.033
100.015
99.986
0.047
Normalized Deviation ( d c )
3.3
1.5
- 1.4
4.7
Std. Dev./Trial Scores ( s )
7.077
7.080
7.073
10.00 6
z-Score ( z c )
3.339*
1.500
- 1.441
3.382*
Probability ( p )
4 ´ 10 - 4 *
0.134
0.075
4 ´ 10 - 4 *
* Ð see Table Notes o n p . 6.
cessfu l t han the males in t he HI ef f orts, resulting in a corresponding advantag e
in the HI - LO. How ever, as noted above, this im pression is misleading because
of t he considerabl e variability among individual operator perf ormances and in
th e sizes of their respective databases. The female average database is nearly
twice as large as the male average and includes three exceptionally large indi -
vidual databases wit h strong positive results. Even excluding t he most prolific
female database consisting of some 120,000 trials per intention, the average
female database still remains nearly a third larger than the average male’s .
While t his d iff erence clearly cannot be regarded as an experimental result, it
bears n oting because of its im pact on the statistical representation of the com-
posite results; it may also reflect diff erent o perational strategies em ployed by
the two groups.
The individual o perator performances are summarized by gender in Table 2,
wherein are displayed the averages of the individual n ormalized deviation s
and t he average z -scores for the HI, BL, and LO ef f orts, along with t hose of t he
HI - LO diff erences for each group. The number and proportion of o perators of
each gender who produce results consistent wit h their intentions (or above 100
in t he baselines ) , relative to t he 50% who might be expected to do so by
chance, and t he number and proportion of individuals who achieve results be-
yond t he one-tailed .05 chance expectatio n (two-taile d for baselines) are also
provided, with the proportions in the o pposite tail in parentheses, along with
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