Papers › Adaptive Bootstrap Tests for Composite Null Hypotheses in the Mediation Pathway Analysis

Adaptive Bootstrap Tests for Composite Null Hypotheses in the Mediation Pathway Analysis

17 Oct 2023arXiv:2310.11630links table onlyarchive 2025-07-28

He Yinqiu, Song Peter X. -K., Xu Gongjun

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Mediation analysis aims to assess if, and how, a certain exposure influences an outcome of interest through intermediate variables. This problem has recently gained a surge of attention due to the tremendous need for such analyses in scientific fields. Testing for the mediation effect is greatly challenged by the fact that the underlying null hypothesis (i.e. the absence of mediation effects) is composite. Most existing mediation tests are overly conservative and thus underpowered. To overcome this significant methodological hurdle, we develop an adaptive bootstrap testing framework that can accommodate different types of composite null hypotheses in the mediation pathway analysis. Applied to the product of coefficients (PoC) test and the joint significance (JS) test, our adaptive testing procedures provide type I error control under the composite null, resulting in much improved statistical power compared to existing tests. Both theoretical properties and numerical examples of the proposed methodology are discussed.

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