|
It was during an interview conducted by a writer with
Omni magazine that I was reminded of the phrase,
"Leave no stone un-turned." After what felt like an eternity
of answering questions and shuffling through my office for
charts, files, and notes, I asked him what he thought of my
Researcher's Supplement. One of the main points I
remember about this interview was being told, "Yes-but the
numbers aren't statistically significant."
What I had asked was his input on a personal research
project I published in Section I of The Alien Jigsaw
Researcher's Supplement. Section I covers four and a
half years of data in which I correlated my abduction
experiences with specific times of the month. Did a key to
the whole purpose of abductions lie in this relationship? It
seemed like a promising fit because one of the most popular
theories as to why alien beings might be coming to Earth is
to abduct humans for the collection of sperm and ova
samples. As I stated in my researcher's supplement:
"The
general theory is that this sample taking is for the
purposes of creating life, and this new life is being
created from a combination of genetic material from human
beings and alien beings. The results are what abduction
researchers call a hybrid being." [1-2] Many reports backed up
this supposition, and I strongly believed it merited further
exploration.
When I considered the idea of sample taking, I believed
one way a female abductee could collect meaningful data was
to document abduction experiences during particular times of
each month. My conjecture was, depending on the particular
biological and hormonal changes that occur within the human
female each month, perhaps some type of correlation will be
found to exist between time of the month and frequency of
abductions. Here was an exciting opportunity to put the
theory to the test.
The following information is taken from my Researcher's
Supplement:
"The dates used in this supplement are taken
from my journals. (My journals were published in The
Alien Jigsaw in 1994). They represent the dates I
strongly believe interaction between an alien being and
myself transpired. The dates indicating spontaneous memories
and memories that surfaced in dreams are clearly indicated
as such in this supplement and are not included with the
data in Section I titled, 'The Human Menstrual Cycle.'
There are three sets of data I had to work with from the
table under the topic Menstrual Cycle (hereafter called M.
cycle). These categories are: Undocumented, Actual
Dates, and Inferred Dates. Specific dates were
not always obtainable for a variety of reasons.
Undocumented means the experience as it correlated
with the M. cycle for that month was not, or could not be
documented. The total number of my experiences that fall in
this category are fourteen. (I then listed the specific
dates and the reasons for each undocumented experience, but
will not do so here for reasons of conciseness).
Sixty-six percent of my experiences were documented as
they relate to my M. cycle with 100% accuracy. These dates
and experiences were designated Actual Dates.
There were times when I did not document when my M. cycle
occurred. For these time periods, I calculated Inferred
Dates by counting from the last known M. cycle forward.
If the time period was for three or four months in a row,
[which only occurred once] I would count forward 28 days for
one month (month one), and forward 25 days for the next
month (month two), since I averaged a M. cycle every 25 to
28 days. I would then count back from the next Actual
Date the same way (month three and month four). This
allowed for more accuracy between the two known M. cycle
dates.
Twenty-three percent of my experiences have inferred
dates. This data will be included under the category heading
Actual and Inferred Dates. The number of Actual
and Inferred Dates accounts for 88% of my abduction
experiences."
The different phases of the M. cycle and what occurs in
the body during that stage was described. This will be
omitted from this paper, and for reasons of conciseness, I
will simply give the name of the phase and the frequency of
abductions documented during that phase over a four and a
half year time frame.
Menstrual phase: days 1-5
Actual Dates: 14%
Actual and Inferred Dates: 15%
Proliferative phase: days 6-13
Actual Dates: 33%
Actual and Inferred Dates: 31%
Ovulatory phase: day 14
Actual Dates: 4%
Actual and Inferred Dates: 4%
Secretory phase: days 15-26
Actual Dates: 42%
Actual and Inferred Dates: 44%
Ischemic phase: days 27-28 (27-31 for a late M. cycle)
Actual Dates: 5% (6%)
Actual and Inferred Dates: 5% (6%)
I then considered the possibility that the first eight
days after ovulation might be critical for fertilization. I
discovered that the highest frequency of my abductions
occurred during the first eight days of the secretory phase,
or the first eight days after ovulation.
First 8 days after ovulation (Days 15-22)
Actual Dates: 37%
First 8 days after ovulation (Days 15-22)
Actual and Inferred Dates: 33%
Other abduction related experiences that I remembered
involving skin scrapings, hair clippings, surgery,
gynecological procedures, laparoscopy, and implants, were
charted and their frequencies were given. However, they will
not be covered here since they do not directly relate to
this paper.
I concluded by saying: I believe there is merit to the
theory about the collection of ova for reproductive study by
some of the alien beings. In addition to the testimony from
many other abductees, the fact that I was abducted more
often during the week after ovulation leads me to
[hypothesize] that the aliens may in fact be collecting ova
(or possibly fertilizing ova) during this time frame.
Looking at this from a scientific point of view, why would
anyone collect the seeds, if you will, of reproduction if
they were not going to study how reproduction occurs?
If the eight day time period immediately following
ovulation turns out to be directly related to the life-span
of a fertile ovum, and other female abductees are being
abducted more often during the first eight days of the
secretory phase of their menstrual cycle, we may have
another piece of information to lend support to the theory
that the aliens are collecting ova. It may not support the
reason why (we believe) they are collecting ova, but simply
that they are." 3
Further Investigation
I was thankful that the interviewer with Omni
pointed out what he considered a discrepancy with my
hypothesis. After the interview I found that I was more
inspired than ever to investigate the possible correlation
between times of the month and frequency of abductions. Over
the last several years I have often been told by other
female abductees that they felt they were being visited
during a particular time of the month (usually around
ovulation). However, I have yet to locate anyone who has
actually documented the dates in their journal. I then
decided, in the interest of a true scientific investigation,
that I would have to obtain a scientific analysis of my
data.
I am very fortunate to have obtained an analysis of the
data just described. The analysis was performed by Thomas E.
Bullard, Ph.D., of Indiana University at Bloomington,
Indiana. I would like to thank Dr. Bullard for his analysis
and for his excellent explanations directed to both the lay
investigator and the professional researcher. Below is the
complete analysis with notes and comments from Dr. Bullard.
Explaining the Statistical Test
What we want to know is, "Are some days more
abduction-prone than others?" and if so, "Do abduction-prone
days correspond to any segment of the menstrual cycle?" If
the answer is yes, then perhaps the aliens call because
something related to that cycle attracts or interests them.
If the answer is no, then they time their visits according
to some other schedule, or according to no apparent schedule
at all.
The "chi-square" test compares the data in hand with what
we expect to see if events happen according to random
chance. Flip a coin long enough and we should count an equal
number of heads and tails. If we get a lot more heads than
tails, something besides chance is at work-maybe the coin is
warped or weighted. Whatever the reason, if the results
violate expectations based on chance, we can feel confident
that some more specific cause shaped the results. The same
principle applies to your abduction data. If abductions
scatter randomly across the monthly calendar, there's no
reason to suspect the abductions relate in any way with the
menstrual cycle. If the events concentrate into some
segments of the cycle and slight others, then we have good
reason to suspect some relationship.
Another question is, "At what point does a difference
from expectation become significant?" Flip a coin 100 times
and we would expect a perfect 50 heads-50 tails. In reality
we might get 51 heads and 49 tails instead. That's a
difference, but a small one-too small to be significant.
This difference falls within the bounds of chance. The
chi-square test provides the benchmarks to judge where
chance differences end and significant differences begin.
The test sets up a "null hypothesis," that is, it defines
the ideal chance situation. A proper null hypothesis for
your data says that one day for an abduction is as good as
the next, no day or days related to the menstrual cycle
finds special favor. A calculation of the estimated events
for each category must allow the beings equal chance to
carry out an abduction on all 28 (or 31) days. Using both
the 28-day data and the 31 day data, for the "actual" and
"actual and inferred" tables, the expected number of events
per day is shown below, for example, 77 events divided by 28
days, giving 2.75 events per day. The final expected value
for each category is this daily rate multiplied by the
number of days per category.
A comparison of the expected frequencies of events with
the actual frequencies you list in your tables comes next.
What we are looking for is a "goodness of fit." Does the
pattern of events you've set out match the expected pattern,
or not? If the two patterns match, the "fit" is a good one
and there is no reason to look for anything but chance to
explain why your events fall on the dates they do. If the
patterns fail to match, the alternative hypothesis is
true-the probabilities are not identical, not chance, but
something else arranges the distribution of events.
The procedures of the chi-square test have complex
rationales rooted in probability distributions, but the
method is a tried-and-true way to compare the
expected-vs.-observed patterns and arrive at a likelihood of
the two being alike or different. Standard tables give
values that represent significant cutoff points. For a case
with one degree of freedom (that is, one variable), a
chi-square of 3.84 sets a probability limit of 5%. This
means any value over 3.84 has a less than 5% probability of
being due to mere chance, while any value under 3.84 has a
greater than 5% likelihood of resulting from chance. A test
using five degrees of freedom-in this case, one that looks
at all your data at once-has a value of 11.07 to mark 5%
probability. This percentage is an arbitrary mark, and is
considered a weak threshold of significance. Something
stronger is usually necessary to make us sit up and take
notice, commonly the 1% benchmark, or a chi-square value of
15.09 in the case of this test.
The Test As Applied To Ms Wilson's Data
Actual Dates
Expected = 77 / 28 = 2.75 x # days per category
Expected = 78 / 31 = 2.50 x # days per category
|
Categ.
|
Cases
|
Days/categ.
|
Expected
|
Residual
|
Chi-square
|
3.84
|
|
|
1.
|
11
|
5
|
13.75
|
12.5
|
-2.75
|
-1.5
|
.55
|
.18
|
-
|
-
|
|
2.
|
26
|
8
|
22
|
20
|
4
|
6
|
.72
|
1.8
|
-
|
-
|
|
3.
|
3
|
1
|
2.75
|
2.5
|
.25
|
.5
|
.02
|
.1
|
-
|
-
|
|
4.
|
29
|
8
|
22
|
20
|
7
|
9
|
2.2
|
4.05
|
-
|
+
|
|
5.
|
4
|
4
|
11
|
10
|
-7
|
-6
|
4.45
|
3.6
|
+
|
-
|
|
6.
|
4
|
2
|
5.5
|
|
-1.5
|
|
.4
|
|
-
|
|
|
|
(5)
|
(5)
|
|
12.5
|
|
-7.5
|
|
4.5
|
|
+
|
|
|
_____
|
_____
|
|
|
|
8.34
|
14.23
|
|
|
|
5 degrees of freedom, p< .05 (11.07)
|
-
|
+
|
|
|
|
5 degrees of freedom, p< .01 (15.09)
|
-
|
-
|
|
|
Actual and Inferred Dates
Expected = 104 / 28 = 3.7 x # days per category
Expected = 105 / 31 = 3.4 x # days per category
|
Categ.
|
Cases
|
Days/categ.
|
Expected
|
Residual
|
Chi-square
|
3.84
|
|
|
1.
|
16
|
5
|
18.5
|
17
|
-2.5
|
-1
|
.33
|
.06
|
-
|
-
|
|
2.
|
33
|
8
|
29.6
|
27.2
|
3.4
|
5.8
|
.39
|
1.24
|
-
|
-
|
|
3.
|
4
|
1
|
3.7
|
3.4
|
.3
|
.6
|
.02
|
.11
|
-
|
-
|
|
4.
|
35
|
8
|
29.6
|
27.2
|
5.4
|
7.8
|
.99
|
2.24
|
-
|
-
|
|
5.
|
11
|
4
|
14.8
|
13.6
|
-3.8
|
-2.6
|
.98
|
.5
|
-
|
-
|
|
6.
|
5
|
2
|
7.4
|
|
-2.4
|
|
.78
|
|
-
|
|
|
|
(6)
|
(5)
|
|
17
|
|
-11
|
|
7.11
|
|
+
|
|
|
_____
|
_____
|
|
|
|
3.49
|
11.26
|
|
|
|
Degrees of freedom, p< .05 (11.07)
|
-
|
+
|
|
|
|
Degrees of freedom, p< .01 (15.09)
|
-
|
-
|
|
|
Whether we look at the actual or the actual-and-inferred
events, whether we calculate by the basic 28-day data or the
expanded 31-day list, the results are the same: Your
chronicle of events remains very close to a chance
distribution. Just compare the "cases" column with the
"expected" column for each category and the numbers are not
far apart-pretty good intuitive evidence that no surprises
are in store. The tests only reaffirm this impression. Three
individual values out of twelve in the "actual" table squeak
past the 5% significance barrier, only one in the "actual
and inferred" table. None of the values pass the 1% test.
Dr. Bullard's Conclusions
My conclusion would have to be that your events follow
pretty much the distribution expected by chance. There are
no striking concentrations of events during the days of any
category, nor is any category notably lacking in events. The
few significant readings are weak at best and marginal as
well. In both tables the 31-day value for the last category
reaches a low significance mark, but these data are unusual
because they exceed the 28-day cycle and are, as you say,
uncommon for you. These maverick data points are liable to
upset the typical pattern of distributions, and seem to do
so here. The overall tendency is very clear-frequencies
depend on chance alone. For want of any persuasive evidence
to the contrary, it seems to me that your abduction events
are not related to phases of the menstrual cycle.
I realize this conclusion is a disappointment, to you and
me alike. We have so many questions and so few answers for
this phenomenon, so little hard data. The prospect of
finding something substantial, such as your data promised,
is just the sort of thing we need. However, even this
negative result is valuable knowledge in its own right. It
is, moreover, worth publishing. It does bear on the
hybridization hypothesis, and researchers ought to know that
the tie between abduction events and the menstrual cycle is
not obvious and common.
I want to congratulate you on your care in keeping
meticulous records of your experiences and using these
records to test a hypothesis. This is the true scientific
spirit, much unlike the skeptics who make armchair
pronouncements, or for that matter, ufologists who may start
out with data from legitimate investigations, but then press
it into illicit speculations without proper test or
considerations. It would be valuable to compare similar
records of other abductees' events.
Ms Wilson's Comments
I would like to thank Dr. Bullard for his analysis and
explanations. The results from Section I of my
Researcher's Supplement and this analysis are not
meant to imply that the aliens are, or are not collecting
ova from female abductees. It means that if they are,
they may not need to collect ova during a particular time of
the month. It seems in my case, it does not matter what
types of biological changes are occurring (within the human
female reproductive cycle), as to whether or not the aliens
are going to abduct me.
Is there still merit to the hypothesis that aliens are
retrieving ova from their human specimens? Some abductees
sincerely believe that they are being abducted more often
around the time of ovulation. I may have had more encounters
during this time frame (the first eight days of the
secretory phase), but the number of encounters are not
statistically significant.
We should view these results with care. It is not the
intention of this study to infer that these findings relate
to all abductees everywhere. As Dr. Bullard stated, we
should compare similar records of other abductee's events.
It is my hope as well, that others will read this report and
pursue a similar investigation. Until that time comes, we
should ask ourselves two important questions: "Are too many
assumptions being made based more on the 'feelings' that
abductees relay rather than on carefully documented
experiences that can be scrutinized by statistical
analysis"? "Are abductees (perhaps unconsciously) trying to
make their experiences fit the hypotheses of the most
well-publicized researchers"?
No one in abduction research likes these questions, but
we must ask ourselves questions like these from time to
time, if only for the benefit of keeping ourselves grounded.
We should stringently evaluate not only the information, but
the source of the information and the methodology of the
researcher and lay investigator alike.
The Alien Jigsaw Researcher's Supplement contains
four other sections that are not statistical in nature. The
information covers what I describe as 119 abduction-related
experiences over a thirty-two year time period. Topics
include the frequency of: (1) types of beings, (2) types of
craft, (3) locations, (4) physiological, psychological, and
emotional effects, and (5) abductions involving telepathy,
travel, and control. TAJRS also contains hypnosis
transcripts, and symbols and unusual writing. I'm listing
these here because I believe that similar data should be
collected from all abductees who are investigated. This
supplement may be a useful guide for other abductees to
follow.
I strongly encourage experiencers of abduction to
document and report as many details of your abduction
encounters that you can. It is up to those who 'report' as
well as those who 'research' to come together in order to
understand what is really happening to us, and-as we have
just seen, we may not find what we expect!
This article was originally published in The MUFON UFO
Journal (Number 327) and is reprinted with permission by The Mutual
UFO Network.
1 Budd Hopkins, Intruders: The Incredible Visitations At Copley
Woods (New York, NY: Random House, 1987) The theory was extrapolated
from my reading the entire story. No one particular page number suffices.
2 David M. Jacobs, Secret Life: Firsthand Accounts of UFO Abductions
(New York, NY: Simon & Schuster, 1992) No particular page number
suffices. The majority of the information is contained in Chapter
Five: "Machine Examinations, Mental Testing, and Hybrid Children."
3 Ms. Kay Wilson, The Alien Jigsaw Researcher's Supplement (Puzzle Publishing, 1994) 9-18. |