The Power of Tests for Detecting p-Hacking
Graham Elliott, Nikolay Kudrin, Kaspar Wüthrich
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Abstract
p-Hacking undermines the validity of empirical studies. A flourishing empirical literature investigates the prevalence of p-hacking based on the distribution of p-values across studies. Interpreting results in this literature requires a careful understanding of the power of methods for detecting p-hacking. We theoretically study the implications of likely forms of p-hacking on the distribution of p-values to understand the power of tests for detecting it. Power depends crucially on the p-hacking strategy and the distribution of true effects. Publication bias can enhance the power for testing the joint null of no p-hacking and no publication bias.