Two-Tailed p-Values and Coherent Measures of Evidence

Peter H. Peskun

The American Statistician, 2020, vol. 74, issue 1, 80-86

Abstract: In a test of significance, it is common practice to report the p-value as one way of summarizing the incompatibility between a set of data and a proposed model for the data constructed under a set of assumptions together with a null hypothesis. However, the p-value does have some flaws, one being in general its definition for two-sided tests and a related serious logical one of incoherence, in its interpretation as a statistical measure of evidence for its respective null hypothesis. We shall address these two issues in this article.

Date: 2020
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DOI: 10.1080/00031305.2018.1475304

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