The Earth is Round (p < 0.05) (1994)
ist-socrates.berkeley.edu
ist-socrates.berkeley.edu
http://www.jerrydallal.com/lhsp/p05.htm
"Still, why should the value 0.05 be adopted as the universally accepted value for statistical significance? ... It was Fisher who suggested giving 0.05 its special status... The value for which P=0.05, or 1 in 20, is 1.96 or nearly 2 ...Deviations exceeding twice the standard deviation are thus formally regarded as significant. Using this criterion we should be led to follow up a false indication only once in 22 trials"
Take the sha256 sum of all your experimental data. If the first fives bits of the hash are 0, then you can reject the null hypothesis with p < 3%
The message is a joke intended to make people think about limitations of null hypothesis techniques. On the one hand, the technique I describe is statistically rigorous, on the other hand, it is stupid because it has no power and is always random.
However, in the Popperian framework of null hypothesis testing, there is no way to even express the fact that this test is worse than any other.
Unfortunately I just realized I have no idea how to do statistics anymore, so we'll have to wait for the submitter to confirm.