Dan O.
Banned
- Joined
- Feb 14, 2007
- Messages
- 13,594
... Or maybe the probabilities of the universe need to be maintained?
The universe does appear to keep a tight grip on maintaining probabilities. I found this quote by Kramer in the challenge applications forum interesting [Bold highlight mine]:
The applicant would need to perform significantly above CHANCE results in order to pass the preliminary testing phase of the Challenge. To date, no applicant has passed preliminary testing, and most often, results far below CHANCE are what we actually see."
Classical probability theory would have the results clustered around CHANCE with nearly equal numbers of results above and below CHANCE. If Kramer's observation is correct, this would show evidence for what I believe is termed "retro-correlation" (the universe is evening out the probabilities for what the applicant has proven to themselves before taking the challenge).
If it is acceptable to the JREF challenge, what I propose to do is analyze the results of prior applicants that have completed the preliminary testing. If my analysis (to be confirmed by JREF's own statisticians) shows that there is less than a 1 in 1000 chance that the applicants would have done so badly due to chance alone this will be confirmation of the effect of "retro-correlation" and count as my passing the preliminary test.
This does however present a problem for taking the final test. The analysis cannot just be repeated on the same data set and it will not be easy to collect new data once this effect has been conclusively demonstrated because new applicants would then devise means to counter the effect when taking the challenge. I for instance intend to defeat this effect by not making any effort to confirm the effect before taking the preliminary test and will simply believe that I will be successful on the first try.