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Mediation analysis is an important statistical tool in many research fields, where the joint significance test is widely utilized for examining mediation effects. Nevertheless, the limitation of this mediation testing method stems from its…

Methodology · Statistics 2024-09-06 Haixiang Zhang

It is often of interest in the health and social sciences to investigate the joint mediation effects of multiple post-exposure mediating variables. Identification of such joint mediation effects generally require no unmeasured confounding…

Methodology · Statistics 2022-05-31 Deshanee S. Wickramarachchi , Laura Huey Mien Lim , Baoluo Sun

In causal analysis, understanding the causal mechanisms through which an intervention or treatment affects an outcome is often of central interest. We propose a test to evaluate (i) whether the causal effect of a treatment that is randomly…

Econometrics · Economics 2026-03-05 Martin Huber , Kevin Kloiber , Lukáš Lafférs

It is often of interest to decompose a total effect of an exposure into the component that acts on the outcome through some mediator and the component that acts independently through other pathways. Said another way, we are interested in…

Statistics Theory · Mathematics 2016-01-21 Peng Ding , Tyler J. VanderWeele

Mediation analysis draws increasing attention in many scientific areas such as genomics, epidemiology and finance. In this paper, we propose new statistical inference procedures for high dimensional mediation models, in which both the…

Methodology · Statistics 2021-08-30 Xu Guo , Runze Li , Jingyuan Liu , Mudong Zeng

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…

Causal mediation analysis is increasingly abundant in biology, psychology, and epidemiology studies, etc. In particular, with the advent of the big data era, the issue of high-dimensional mediators is becoming more prevalent. In…

Methodology · Statistics 2023-07-10 Minghao Chen , Yingchun Zhou

Mediation analysis extending beyond single mediators has gained significant attention in recent years. However, related methods often assume the absence of unmeasured mediator-outcome confounding. To address this, we develop a mediation…

Methodology · Statistics 2026-03-31 Kang Shuai , Lan Liu , Yangbo He , Wei Li

To estimate direct and indirect effects of an exposure on an outcome from observed data strong assumptions about unconfoundedness are required. Since these assumptions cannot be tested using the observed data, a mediation analysis should…

Statistics Theory · Mathematics 2018-03-29 Anita Lindmark , Xavier de Luna , Marie Eriksson

There is a challenge in selecting high-dimensional mediators when the mediators have complex correlation structures and interactions. In this work, we frame the high-dimensional mediator selection problem into a series of hypothesis tests…

Methodology · Statistics 2025-09-16 Runqiu Wang , Ran Dai , Jieqiong Wang , Kah Meng Soh , Ziyang Xu , Mohamed Azzam , Hongying Dai , Cheng Zheng

Mediation analysis is widely used for investigating direct and indirect causal pathways through which an effect arises. However, many mediation analysis studies are challenged by missingness in the mediator and outcome. In general, when the…

Methodology · Statistics 2023-09-25 Shuozhi Zuo , Debashis Ghosh , Peng Ding , Fan Yang

In many scientific studies, it is of interest to determine whether an exposure has a causal effect on an outcome. In observational studies, this is a challenging task due to the presence of confounding variables that affect both the…

Methodology · Statistics 2020-10-07 Ted Westling

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

In mediation analysis, the effect of an exposure (or treatment) on an outcome variable is decomposed into two components: a direct effect, which pertains to an immediate influence of the exposure on the outcome, and an indirect effect,…

Methodology · Statistics 2017-10-04 Marco Geraci , Alessandra Mattei

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

In mediation analysis, the exposure often influences the mediating effect, i.e., there is an interaction between exposure and mediator on the dependent variable. When the mediator is high-dimensional, it is necessary to identify non-zero…

Methodology · Statistics 2023-08-03 Ruiyang Li , Xi Zhu , Seonjoo Lee

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 in causal inference typically concentrates on one binary exposure, using deterministic interventions to split the average treatment effect into direct and indirect effects through a single mediator. Yet, real-world…

Methodology · Statistics 2023-07-07 David B. McCoy , Alan E. Hubbard , Mark van der Laan , Alejandro Schuler

Mediation analysis has become an important tool in the behavioral sciences for investigating the role of intermediate variables that lie in the path between a randomized treatment and an outcome variable. The influence of the intermediate…

The Complete Mediation Test (CMT) serves as a specialized approach of mediation analysis to assess whether an independent variable A, influences an outcome variable Y exclusively through a mediator M, without any direct effect. An…

Methodology · Statistics 2025-07-22 Yichin Tsai , Wan-Tzu Chang , Jia Jyun Sie , Cathy SJ Fann , Iebin Lian