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Improving the Power to Detect Indirect Effects in Mediation Analysis

John Kidd () and Dan-Yu Lin ()
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John Kidd: University of North Carolina at Chapel Hill
Dan-Yu Lin: University of North Carolina at Chapel Hill

Statistics in Biosciences, 2024, vol. 16, issue 1, No 7, 129-141

Abstract: Abstract Causal mediation analysis seeks to determine whether an independent variable affects a response variable directly or whether it does so indirectly, by way of a mediator. The existing statistical tests to determine the existence of an indirect effect are overly conservative or have inflated type I error. In this article, we consider the principle of intersection–union tests and a method called the S-test. This method increases power but is not appropriate for statistical tests as small significance levels may cause the test to reject a null hypothesis, but larger significance levels will not reject the same hypothesis. We propose two new methods that provide increased power over existing methods while controlling type I error. We demonstrate through extensive simulation that the S-test and proposed methods control type I error and increase power over existing methods, and that while the proposed methods do not have the same problems, they provide similar power to the S-test. Finally, we provide an application to a large proteomic study.

Keywords: Intersection–union test; Sobel test; Product-normal distribution; Joint significance test; S-test; p value threshold (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/s12561-023-09386-6

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