I hear what you are saying but the problem seems to be that, using your analogy, reason1 would claim there were only 10 sixes rolled and not 20 as perceived by others. The missing 10 were not the right kind of sixes.
He doesn't seem to see this and I think you might have missed it too.
What do you think?
ETA: fromdownunder posted above while I was writing and he seems to think the same thing.
Who cares if Reason1 thinks that only 10 sixes were "really" rolled instead of 20? What possible relevance would it have to the overall result, which is statistically very unlikely given no false positives? His "beliefs" about what constitutes a "real" or "fake" six don't change the results in the scenario I described. It would still be an amazing feat correctly predicting half the sixes that were rolled and never predicting a six that didn't come up. You could make a buttload of money in Vegas with that advantage.
The real issue here isn't counting misses. It's counting hits and especially false positives. Though none of us have the data, we're all likely to agree on a few things:
A) In a crowd situation such as a mall eatery, at any given time a solitary person reading a book is likely to have someone looking right at him.
B) This solitary book reader is even more likely to have someone looking in his
general direction.
C) If the solitary book reader suddenly turned his head, he would likely be able to spot someone from A or B above and fix his gaze upon that person.
D) The person in
D C is likely to turn away upon being singled out that way.
And thus no neutral observer could differentiate between Reason1 reacting to a telepathic connection instigated by "real staring" and some mope like myself just randomly guessing that someone is staring.
What Reason1
seems to be arguing is that my assumptions in A and B are incorrect. This would mean, of course, that it would possible to distinguish between Reason1 and a mope such as myself. Reason1 would get a reaction 100% of the time, and I would get a reaction less than 100% of the time. We, of course, don't know what that "control subject" percentage is, and neither does he, so it's a worthless distinction at this point.
Another issue is the incomplete number of false positives. In assumption B a non-starer (by Reason1's definition) would still react to a head turn. That should not be a hit, but based on what we've heard so far, there's no way to know that. The only false positive would be if Reason1 reacts and finds nobody reacting to his reaction.
Even under this scenario I am not concerned with misses that are failures to detect - yet. I might be at some point, but until I get the hits sorted out, I'll wait. After all, we haven't heard a detection rate yet, have we? Like with the sixes, if he claimed he could do it with 50% accuracy and no false positives, we could verify that.