Look, if you want to see why this test is a problem, let's try another run of it, but with a twist. You can choose one of your credible participants to assist you and we will PM them to let them know of their participation. Please only choose one. Then, you will think of a number between and including 1 and 4.
Participants will then PM their statements to the credible assistant. This person will then remove the number, replacing it with the letter X in all cases, and post the results here for you to analyze. After you post your analysis of the masked statements, the credible assistant will post the actual numbers guessed by the participants. We can use hash generators for the original statements if you wish, to prove that the assistant is indeed credible.
Does this sound like a fair test to you?
Note, this is still not stringent enough to win the Million Dollar Challenge, but it may help determine whether or not your analysis is indeed objective and accurate.
Michel, if you want to try Hokulele's suggestion, I am available as an assistant. If you still find me credible.
Your proposal is interesting, Hokulele, this sounds like an interesting protocol. (Thank you also to Femke; it is possible that I request your assistance at some point, Femke.)
However, I find it a little complicated and I am afraid that answerers (to the telepathy test) who would have to send a private message to the assistant, instead of posting directly on the forum, would be less spontaneous and relaxed, and that their answers would be too "calculated", and that a test with your procedure would end in failure because of that. It is possible that some people don't mind participating once or twice in a telepathy test which looks a little bit like a game
(with "winners" and "losers", although I have to say that none of the 13 valid answers that I got was totally bad, and most were even good, in view of what you can expect when you do such a test, I speak here from my experience; some of the comments here are more problematic, in my opinion, I have sometimes here an impression that I am on the forum of some "dangerous and violent skeptical sect" - rather frightening... but I don't want to exaggerate),
but it is also possible that, once they feel the test's goal would be to rigorously prove that I am "telepathic" (if I really am so), that would "scare" them and their worst instincts would have the upper hand.
Keep also in mind that I am still fairly new here (I have more experience on Yahoo! Answers), it is still not clear what kinds of results I might get here in the long run, with more number-guessing (for example) threads.
If a more rigorous procedure is needed (more rigorous than what I am currently doing or trying to do), I could ask people on this forum to evaluate credibilities of answers (not credibilities of their own answers, credibilities of other answers),
without giving them any information (by sensory means) regarding the numerical correctness (or not) of answers beforehand. If this could produce the right number, telepathy would be proved. I could also ask people to evaluate credibilities themselves
after I have provided them with all the information I have (which numbers are correct, and my own "credibility analysis"), this would be much less rigorous, but could nevertheless be interesting (in my opinion).