NoSuchPlace comments on Does this seem to you like evidence for the existence of psychic abilities in humans? - Less Wrong
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A general note on this sort of situation without getting into the specifics of this case:
If something very unlikely ,say P, happens and you have something which would explain that, say A. You should increase your confidence in A and as you receive stronger evidence you continue increasing your confidence. However you should not keep increasing your confidence in A until it is almost 1:
Since your test isn't between A and not A but between P and not P. You should simply move probability from not P to P which would increase the probability of things in P, like A, but not change the relative probabilities of things in P.
So the only way the quote could be correct is if you had started out believing that Psi is as good an explanation as all others put together for the things that you have observed. This seems wrong to me since even everyone involved flat out lying seems much more probable than Psi being real.
Also an Abstruse Goose which involves this sort of situation.