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To investigate causal mechanisms, causal mediation analysis decomposes the total treatment effect into the natural direct and indirect effects. This paper examines the estimation of the direct and indirect effects in a general treatment…

Statistics Theory · Mathematics 2024-01-24 Lukang Huang , Wei Huang , Oliver Linton , Zheng Zhang

Causal mediation analysis provides techniques for defining and estimating effects that may be endowed with mechanistic interpretations. With many scientific investigations seeking to address mechanistic questions, causal direct and indirect…

Causal mediation analysis seeks to investigate how the treatment effect of an exposure on outcomes is mediated through intermediate variables. Although many applications involve longitudinal data, the existing methods are not directly…

Applications · Statistics 2021-02-24 Shuxi Zeng , Stacy Rosenbaum , Elizabeth Archie , Susan Alberts , Fan Li

This tutorial provides a concise introduction to modern causal modeling by integrating potential outcomes and graphical methods. We motivate causal questions such as counterfactual reasoning under interventions and define binary treatments…

Methodology · Statistics 2025-06-27 Gauranga Kumar Baishya

This paper combines causal mediation analysis with double machine learning to control for observed confounders in a data-driven way under a selection-on-observables assumption in a high-dimensional setting. We consider the average indirect…

Econometrics · Economics 2021-02-17 Helmut Farbmacher , Martin Huber , Lukáš Lafférs , Henrika Langen , Martin Spindler

Causal mediation analysis usually requires strong assumptions, such as ignorability of the mediator, which may not hold in many social and scientific studies. Motivated by a multilevel randomized treatment experiment using functional…

Applications · Statistics 2017-07-11 Yi Zhao , Xi Luo

Causal mediation analysis is complicated with multiple effect definitions that require different sets of assumptions for identification. This paper provides a systematic explanation of such assumptions. We define five potential outcome…

Methodology · Statistics 2022-09-26 Trang Quynh Nguyen , Ian Schmid , Elizabeth L. Ogburn , Elizabeth A. Stuart

The average causal mediation effect (ACME) and the natural direct effect (NDE) are two parameters of primary interest in causal mediation analysis. However, the two causal parameters are not identifiable from randomized experimental data in…

Methodology · Statistics 2025-09-04 Wei Liang , Changbao Wu

We examine the problem of causal response estimation for complex objects (e.g., text, images, genomics). In this setting, classical \emph{atomic} interventions are often not available (e.g., changes to characters, pixels, DNA base-pairs).…

Machine Learning · Computer Science 2021-06-11 Limor Gultchin , David S. Watson , Matt J. Kusner , Ricardo Silva

In biomedical research, repeated measurements within each subject are often processed to remove artifacts and unwanted sources of variation. The resulting data are used to construct derived outcomes that act as proxies for scientific…

Methodology · Statistics 2026-02-03 Zihang Wang , Razieh Nabi , Benjamin B. Risk

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

Recurrent events, including cardiovascular events, are commonly observed in biomedical studies. Researchers must understand the effects of various treatments on recurrent events and investigate the underlying mediation mechanisms by which…

Methodology · Statistics 2025-07-08 Yan-Lin Chen , Yan-Hong Chen , Pei-Fang Su , Huang-Tz Ou , An-Shun Tai

Researchers are often interested in analyzing conditional treatment effects. One variant of this is "causal moderation," which implies that intervention upon a third (moderator) variable would alter the treatment effect. This study…

Methodology · Statistics 2020-08-25 Kirk Bansak

Causal mediation analysis is widely utilized to separate the causal effect of treatment into its direct effect on the outcome and its indirect effect through an intermediate variable (the mediator). In this study we introduce a functional…

Applications · Statistics 2018-05-21 Yi Zhao , Xi Luo , Martin Lindquist , Brian Caffo

\textbf{Background:} Mediation analysis is widely used to investigate how treatments and programs exert their effects, but standard ordinary least squares (OLS) inference can be unreliable when regression errors are non-Gaussian. In medical…

Methodology · Statistics 2026-04-10 Mijeong Kim

This Element offers a practical guide to estimating conditional marginal effects-how treatment effects vary with a moderating variable-using modern statistical methods. Commonly used approaches, such as linear interaction models, often…

Methodology · Statistics 2026-05-21 Jiehan Liu , Ziyi Liu , Yiqing Xu

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

This paper explores the use of unstructured, multimodal data, namely text and images, in causal inference and treatment effect estimation. We propose a neural network architecture that is adapted to the double machine learning (DML)…

Machine Learning · Computer Science 2024-02-06 Sven Klaassen , Jan Teichert-Kluge , Philipp Bach , Victor Chernozhukov , Martin Spindler , Suhas Vijaykumar

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

The increase in the use of mobile and wearable devices now allows dense assessment of mediating processes over time. For example, a pharmacological intervention may have an effect on smoking cessation via reductions in momentary withdrawal…