4.2 Article

P-values are random variables

Journal

AMERICAN STATISTICIAN
Volume 62, Issue 3, Pages 242-245

Publisher

AMER STATISTICAL ASSOC
DOI: 10.1198/000313008X332421

Keywords

empirical cumulative distribution function (ECDF); histograms; hypothesis testing; teaching statistics

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P-values are taught in introductory statistics classes in a way that confuses many of the students, leading to common misconceptions about their meaning. In this article, we argue that p-values should be taught through simulation, emphasizing that p-values are random variables. By means of elementary examples we illustrate how to teach students valid interpretations of p-values and give them a deeper understanding of hypothesis testing.

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