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Post‐selection inference for high‐dimensional mediation analysis with survival outcomes

Tzu‐Jung Huang, Zhonghua Liu and Ian W. McKeague

Scandinavian Journal of Statistics, 2025, vol. 52, issue 2, 756-776

Abstract: It is of substantial scientific interest to detect mediators that lie in the causal pathway from an exposure to a survival outcome. However, with high‐dimensional mediators, as often encountered in modern genomic data settings, there is a lack of powerful methods that can provide valid post‐selection inference for the identified marginal mediation effect. To resolve this challenge, we develop a post‐selection inference procedure for the maximally selected natural indirect effect using a semiparametric efficient influence function approach. To this end, we establish the asymptotic normality of a stabilized one‐step estimator that takes the selection of the mediator into account. Simulation studies show that our proposed method has good empirical performance. We further apply our proposed approach to a lung cancer dataset and find multiple DNA methylation CpG sites that might mediate the effect of cigarette smoking on lung cancer survival.

Date: 2025
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https://doi.org/10.1111/sjos.12770

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Persistent link: https://EconPapers.repec.org/RePEc:bla:scjsta:v:52:y:2025:i:2:p:756-776

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