Reproducibility probability estimation for testing statistical hypotheses

Daniele De Martini

Statistics & Probability Letters, 2008, vol. 78, issue 9, 1056-1061

Abstract: The applications of statistical tests often generate problems, because of their randomness. Here, stemming from the variability of statistical tests, the reproducibility probability of a statistically significant result () is estimated first. Then, statistical tests are defined on the basis of estimation. Lower bounds for , and then pointwise estimates are used. It is emphasized that the threshold for the pointwise estimator to define statistical tests turns out to be 1/2. Hence, taking the perspective of estimation, one can compute statistical tests and have suitable interpretations of their results.

Date: 2008
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