Linda:
As I said before, it is not consistent. If it were a consistent representation of your idea, you would be comparing numbers which have distance 1 with numbers which have distance 2 or more for all cases.
Suitbert:
For each target I compared two misses with less distance from the target with two misses with more distance from the target. All four misses were thus equally considered for the five targets. This is consistent and balanced since all misses are considered.
Your definition may be called "inconsistent" insofar as you consider two misses with distance 1 for targets 2, 3, and 4, and only one miss with distance 1 for targets 1 and 5. In addition, you get three misses with distance "2 or more" for targets 1 and 5 and only two misses with distance 2 for targets 2, 3, and 4. Furthermore, for distances "2 or more" distance 2 occurs six times, distance 3 twice and distance 4 also twice. Finally, for an analysis with your definition you have to take different routes for calculating expectancies. This is confusing and objectionable. If you maintain your point, please tell me how you calculate expectancies. For my way of comparing two frequencies I take proportion .5 as expectancy for misses with less distance and .5 as expectancy for misses with more distance throughout for all five target cases. This is consistent, simple, transparent.
As you point out, the opportunity to miss and to miss at a greater distance
varies from number to number. It is inconvenient to provide a proper model
which takes this into consideration, so instead you chose a model which does
not take this into consideration but is convenient. It is consistent with
convenience, but it is not consistent with your own description of your
ideas about distance.
Linda:
"Secondary" is the term that you used. I cannot speak to the issue of whether you are now unhappy with your choice of name. I thought secondary was a reasonable choice on your part, but if you wish to use a different name, that is of course up to you.
Suitbert:
Please tell me where I used "secondary pattern" in my correspondence with you. I did NOT use the term "secondary pattern" or even "secondary" with some other noun.
You use the term "secondary effect" or "secondary psi-effect" six times in
the paper in which you discuss the "good misses" effect.
Linda:
The only parallel that I am drawing between my example and your study is that they both involve post-hoc analyses.
Suitbert:
The term "post-hoc analysis" with its negative connotation is used here, as often in criticisms of skeptics, to cast doubt on unwelcome results. I did not claim that I expected the "good miss" phenomenon at the outset. If I had, one might blame me for pretending to have expected it instead of discovering it by inspecting the data. But when I found the same pattern in several other data sets and I was prepared beforehand to find them again. I feel your attribution of "post hoc" to my analysis is another derogatory ploy.
I have two questions for you. If you had not found the "good miss"
phenomenon, would you have included that in your results? And, if the "good
misses" phenomenon had been absent, would you have considered that evidence that psi is absent, or rather would you have concluded that psi does not always miss in that manner?
Linda:
Can you provide the data where you replicate the effect?
Suitbert:
Yes, I can. Do you mean the original trial by trial data? Which format do you need? I would send them if you would really do an analysis and report the result, otherwise the extra time for that work might better be spared.
I misspoke. I meant whatever write-up you have available. It may be
interesting to look at the original data as well, but not if it requires
effort on your part.
Linda:
Also, your analysis of the effect of psi-power on "good misses" does not replicate the expected pattern. Instead, it shows that psi-power is unrelated to "good misses" (despite your post-hoc convoluted explanation).
Suitbert:
Again your derogatory "post-hoc"! All explanations of phenomena are "post hoc" because the phenomena always precede their explanations.
You provided a reasonable explanation of what you expected to see. When you didn't find what you expected to see, all of a sudden the explanation
changed to a convoluted pattern whereby psi-missing and psycho-analytic
defense mechanisms are brought into it. This was entirely post-hoc.
This shows up again in the write-up you sent me, where the data shows
patterns that are the opposite of those you expected or those you had
previously demonstrated. In that write-up you also show that this effect is
not found in some of your datasets. It looks like whatever you find, good,
bad, or indifferent, will be taken to be consistent with psi.
Linda:
According to that either "good misses" does not reflect psi, or "hit %" does not reflect psi. One or the other may have to be discarded.
Suitbert:
I do not understand your logic. A very good dart thrower might hit the centre of the target with concentric circles (12) very frequently, but when he misses 12, his dart will land on 11 more often than on 10, on 10 more often than on 9 etc. This is no case for "either or" separations, but for "as well as" inclusions.
And that is the logic you started with - it makes sense. But you discovered
that very good dart throwers don't land on 11 or 10 more often when they
miss 12 - they land all over the place. And very poor dart throwers, while
they can't hit the actual target, are better at hitting 11 or 10 than the
very good dart throwers. Sometimes. The more obvious conclusion is that
whatever it is that leads you to miss the target, it's different from dart
throwing accuracy. If there were a transparent shield in front of the
target, such that darts thrown directly at 11 or 10 were deflected away from
those numbers, while darts thrown further away were deflected towards those numbers, then the unexpected results would make sense. But the presence of a shield (i.e. a "secondary effect") doesn't really have anything to do with dart-throwing skill - i.e. you're not measuring the same thing.
Suitbert (earlier):
Regarding validity: You do not explain why you deem the pattern of drawn wrong numbers (almost-hits) not to be valid. I am entitled, I think, to maintain that the validity of this finding can hardly be overstated. How can this "pattern" of drawn wrong numbers be explained? Apparently, some "intelligent" and clearly "goal-oriented", but unconscious process becomes manifest.
Linda:
Most importantly, it lacks convergent validity - it fails to correlate with psi-power. It lacks criterion validity, mostly because it suffers from the same problem that all psi research suffers from - there is no independent measure of psi. It lacks construct validity - you haven't established how psi considers these categories (ordered, directional, symbolic, etc.). Simply put, all you have established is that in this particular set of data there is a pattern, but you haven't established that it is "psi" that explains the pattern.
Suitbert:
This reminds me of drumfire... with empty rounds, not dangerous.
Good misses does not lack "convergent validity" because good misses are correlated with hit percentage.
No they don't. In 2 of the 3 datasets you have provided information on,
they don't correlate, and in the 3rd, there is a correlation in the opposite
direction you predicted.
Good misses do correlate with psi-power, even though their psi power is less, otherwise they would not correlate with hit percentage.
The graph you presented does not show correlation with psi-power.
"Criterion validity"? This term does not apply here. The ball test does not assess good misses tendencies, good misses are an additional effect whose validity need not be based on other measured criteria just as, say, response sets affecting questionnaire results can be found without additional assessment.
Criterion validity in this case means that if we had a way of detecting
whether or not psi was present, we would be able to show that good misses
were present when psi was present and absent when psi was absent.
The terms "construct validity" and "categories" (ordered, directional, symbolic, etc.) remain unexplained.
Construct validity means that you have a theoretical/hypothetical basis by
which psi would miss in this particular manner - i.e. that psi considers
numbers as occurring in a particular order and that there is no direction to
that order. None of that has been established. Psi could treat them as
symbols (the claim of "good misses" for Zener symbols, for examples), it
could order them but there is a direction to that order, or it could order
them in a non-linear fashion.
I HAVE established that the good misses phenomenon is psi-related, because it is correlated with hits in the ball test. In addition, we find similar phenomena in earlier studies with the Zener symbol test, they were called "displacement effect" in the literature. Some symbols were more easily selected than other symbols when targets were missed. Displacements with numbers are easier to assess because "similarity" in this case is a matter of numerical difference, not of subjective judgment.
That psi is interested in a numerical difference is a subjective judgement
on your part. How do you know it's not something like even vs. odd numbers, straight vs. curvy lines, mirror symmetry vs. rotational symmetry vs. asymmetry, etc.?
Linda:
Here is the problem. You are analyzing an uncontrolled data set, which means that ordinary sensory leakage or fraud accounts for the hits. So why wouldn't ordinary sensory leakage or fraud, in addition to chance or other artefacts, account for this "good misses" pattern?
Suitbert:
Chance? No, the probability of chance has been calculated and must be considered, after several replications, as extremely low.
But in some of the datasets you have mentioned, the effect isn't replicated.
And I didn't mean *only* chance - I should have phrased it as "sensory
leakage and fraud and chance and other artefacts".
Artifact? This is merely a word in this context without any substance (can Linda construe any artifact here, I doubt it)
And example of an artefact would be some feature on the #3 balls which made it more likely that they would be drawn - someone accidentally added an extra set of #3 balls, they ran out of the regular balls and bought a new
batch which feel slightly different, a different marker was used which left
a different texture, etc. Since #3 draws were always a "good miss", an
excess of #3 draws would make it look like there was an excess of "good
misses".
Sensory leakage? If it occurred at all, it might cause mixing up graphically similar digits, not numerically adjacent numbers.
How do you know?
Fraud? A thief selects from a bunch of keys the key to the safe and, if he misses this key, he will not select preferably a key to a neighboring door.
How do you know?
Suitbert (earlier):
I did not yet check whether the good misses effect occurred in the 1234512345 data base also. The following Table shows the frequencies of good and bad misses for the five targets:
Good Bad Difference
---------------
1 634 614 20
2 652 601 51
3 615 610 5
4 626 586 40
5 598 617 -19
----------------
3125 3028 97
----------------
Good misses are more frequent than bad misses for numbers 1,2,3,and 4. The misses for number 5 are an exception, as they were in the main student sample.
Linda:
You are aware (I hope) that those slight differences in the frequency of #3 and in the "good misses" vs "other misses aren't statistically significant.
Suitbert:
Yes, I am aware of that. The point here is that the pattern of differences
does not differ significantly from the earlier pattern of other samples.
Linda:
It cannot be called a valid demonstration of psi just because you have failed to look for an explanation. It could equally be said to be a valid demonstration that invisible pink unicorns prefer to nudge the #3 ball into the ball-drawer's hand.
Suitbert:
This statement, if valid, would make all demonstrations of psi phenomena impossible because psi is defined, at present at least, as unexplainable phenomena of transfer of information and mental effectance on objects or living matter without motor and other tools.
Exactly. You have no positive definition of psi. The best you have is "I
can't really think of anything else". It's a "psi of the gaps" sort of
definition. The problem is that you haven't put any constraints on what the
gap can be filled with other than "has not yet been demonstrated to exist".
Linda