We present an explicit and parsimonious probability distribution (meta-distribution) for p-values across ensembles of statistically identical phenomena, having for sole parameter the median "true" p- value . P-values are extremely skewed and volatile, regardless of the sample size n, and vary greatly across repetitions of exactly same protocols under identical stochastic copies of the phenomenon  . The convenience of formula allows the investigation of scientific results, particularly meta-analyses.
We present an explicit and parsimonious probability distribution (meta-distribution) for p-values across ensembles of statistically identical phenomena, having for sole parameter the median "true" p-value, as well as the distribution of the minimum p-value among m independents tests . P-values are extremely skewed and volatile, regardless of the sample size n, and vary greatly across repetitions of exactly same protocols under identical stochastic copies of the phenomenon ; such volatility makes the minimum p value diverge significantly from the "true" one . The convenience of the formulas allows the investigation of scientific results, particularly meta-analyses.
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p- value
p-value, as well as the distribution of the minimum p-value among m independents tests
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; such volatility makes the minimum p value diverge significantly from the "true" one
R
formula
the formulas