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Mediation analysis allows one to use observational data to estimate the importance of each potential mediating pathway involved in the causal effect of an exposure on an outcome. However, current approaches to mediation analysis with…

Mediation analysis is difficult when the number of potential mediators is larger than the sample size. In this paper we propose new inference procedures for the indirect effect in the presence of high-dimensional mediators for linear…

Methodology · Statistics 2019-10-29 Ruixuan Rachel Zhou , Liewei Wang , Sihai Dave Zhao

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…

Methodology · Statistics 2023-09-28 John Kidd , Dan-Yu Lin

Mediation analysis plays a crucial role in causal inference as it can investigate the pathways through which treatment influences outcome. Most existing mediation analysis assumes that mediation effects are static and homogeneous within…

Methodology · Statistics 2026-03-02 Yijiao Zhang , Yubai Yuan , Yuexia Zhang , Zhongyi Zhu , Annie Qu

In response to the unique challenge created by high-dimensional mediators in mediation analysis, this paper presents a novel procedure for testing the nullity of the mediation effect in the presence of high-dimensional mediators. The…

Methodology · Statistics 2025-05-28 Yinan Lin , Zijian Guo , Baoluo Sun , Zhenhua Lin

Analyses of causal mediation often involve exposure-induced confounders or, relatedly, multiple mediators. In such applications, researchers aim to estimate a variety of different quantities, including interventional direct and indirect…

Methodology · Statistics 2025-06-18 Jesse Zhou , Geoffrey T. Wodtke

Mediation analyses are a statistical tool for testing the hypothesis about how the relationship between two variables may be direct or indirect via a third variable. Assessing statistical significance has been an area of active research;…

Methodology · Statistics 2021-06-07 Jason Steffener

Mediation analysis breaks down the causal effect of a treatment on an outcome into an indirect effect, acting through a third group of variables called mediators, and a direct effect, operating through other mechanisms. Mediation analysis…

Applications · Statistics 2025-05-13 Judith Abécassis , Houssam Zenati , Sami Boumaïza , Julie Josse , Bertrand Thirion

Understanding causal mechanisms is crucial for explaining and generalizing empirical phenomena. Causal mediation analysis offers statistical techniques to quantify the mediation effects. Although numerous methods have been developed for…

Methodology · Statistics 2026-05-12 Jiawei Fu

Mediation analyses play important roles in making causal inference in biomedical research to examine causal pathways that may be mediated by one or more intermediate variables (i.e., mediators). Although mediation frameworks have been well…

Applications · Statistics 2023-01-25 Meilin Jiang , Seonjoo Lee , James O'Malley , Yaakov Stern , Zhigang Li

Mediation analysis seeks to identify and quantify the paths by which an exposure affects an outcome. Intermediate variables which are effected by the exposure and which effect the outcome are known as mediators. There exists extensive work…

Methodology · Statistics 2020-11-13 James P. Long , Ehsan Irajizad , James D. Doecke , Kim-Anh Do , Min Jin Ha

Causal mediation analysis is an important statistical method in social and medical studies, as it can provide insights about why an intervention works and inform the development of future interventions. Currently, most causal mediation…

Methodology · Statistics 2016-01-26 Cheng Zheng , David C. Atkins , Melissa A. Lewis , Xiao-Hua Zhou

In genome-wide epigenetic studies, exposures (e.g., Single Nucleotide Polymorphisms) affect outcomes (e.g., gene expression) through intermediate variables such as DNA methylation. Mediation analysis offers a way to study these intermediate…

Methodology · Statistics 2025-12-08 Asmita Roy , Xianyang Zhang

Causal indirect and direct effects provide an interpretable method for decomposing the total effect of an exposure on an outcome into the effect through a mediator and the effect through all other pathways. When the mediator is a biomarker,…

Methodology · Statistics 2021-08-02 Ariel Chernofsky , Ronald J. Bosch , Judith J. Lok

Causal mediation analysis is an important statistical tool to quantify effects transmitted by intermediate variables from a cause to an outcome. There is a gap in mediation analysis methods to handle mixture mediator data that are…

Methodology · Statistics 2025-07-22 Meilin Jiang , Seonjoo Lee , A. James O'Malley , Pengfei Li , Zhigang Li

This paper provides robust estimators and efficient inference of causal effects involving multiple interacting mediators. Most existing works either impose a linear model assumption among the mediators or are restricted to handle…

Methodology · Statistics 2024-01-12 Haoyu Wei , Hengrui Cai , Chengchun Shi , Rui Song

The procedure for establishing mediation, i.e., determining that an independent variable X affects a dependent variable Y through some mediator M, has been under debate. The classic causal steps require that a "total effect" be significant,…

Econometrics · Economics 2023-09-26 Tingxuan Han , Luxi Zhang , Xinshu Zhao , Ke Deng

Mediation analysis is concerned with the decomposition of the total effect of an exposure on an outcome into the indirect effect through a given mediator, and the remaining direct effect. This is ideally done using longitudinal measurements…

Statistics Theory · Mathematics 2019-12-04 Murthy N Mittinty , Stijn Vansteelandt

During the past few years, mediation analysis has gained increasing popularity across various research fields. The primary objective of mediation analysis is to examine the direct impact of exposure on outcome, as well as the indirect…

Computation · Statistics 2023-05-18 Haixiang Zhang , Xin Li

Mediation analysis seeks to infer how much of the effect of an exposure on an outcome can be attributed to specific pathways via intermediate variables or mediators. This requires identification of so-called path-specific effects. These…

Methodology · Statistics 2019-06-06 Johan Steen , Stijn Vansteelandt
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