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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 causal mediation analysis, nonparametric identification of the pure (natural) direct effect typically relies on, in addition to no unobserved pre-exposure confounding, fundamental assumptions of (i) so-called…

Methodology · Statistics 2015-09-08 Caleb H. Miles , Phyllis Kanki , Seema Meloni , Eric J. Tchetgen Tchetgen

Mediation analysis aims at disentangling the effects of a treatment on an outcome through alternative causal mechanisms and has become a popular practice in biomedical and social science applications. The causal framework based on…

Methodology · Statistics 2024-09-27 Allan Jerolon , Laura Baglietto , Etienne Birmele , Vittorio Perduca , Flora Alarcon

We propose semi- and non-parametric methods to estimate conditional interventional effects in the setting of two discrete mediators whose causal ordering is unknown. Average interventional indirect effects have been shown to decompose an…

Methodology · Statistics 2023-04-19 Max Rubinstein , Zach Branson , Edward H. Kennedy

Causal mediation analysis is widely used to investigate how causal effects operate through specific pathways linking treatments or exposures to outcomes. Recently, \texttt{crumble} was developed to enable nonparametric estimation of several…

Methodology · Statistics 2026-04-14 Richard Liu , Nicholas T. Williams , Kara E. Rudolph , Ivan Diaz

Recent approaches to causal inference have focused on causal effects defined as contrasts between the distribution of counterfactual outcomes under hypothetical interventions on the nodes of a graphical model. In this article we develop…

Methodology · Statistics 2023-04-26 Iván Díaz

A causal decomposition analysis allows researchers to determine whether the difference in a health outcome between two groups can be attributed to a difference in each group's distribution of one or more modifiable mediator variables. With…

Methodology · Statistics 2024-08-09 Melissa J. Smith , Leslie A. McClure , D. Leann Long

Mediation analysis is appealing for its ability to improve understanding of the mechanistic drivers of causal effects, but real-world data complexities challenge its successful implementation, including: 1) the existence of post-exposure…

Methodology · Statistics 2022-12-19 Kara E Rudolph , Nicholas Williams , Ivan Diaz

Mediation analysis for probabilities of causation (PoC) provides a fundamental framework for evaluating the necessity and sufficiency of treatment in provoking an event through different causal pathways. One of the primary objectives of…

Methodology · Statistics 2025-05-09 Yuta Kawakami , Jin Tian

We suggest double/debiased machine learning estimators of direct and indirect quantile treatment effects under a selection-on-observables assumption. This permits disentangling the causal effect of a binary treatment at a specific outcome…

Econometrics · Economics 2023-07-04 Yu-Chin Hsu , Martin Huber , Yu-Min Yen

This paper addresses the problem of estimating causal effects when adjustment variables in the back-door or front-door criterion are partially observed. For such scenarios, we derive bounds on the causal effects by solving two non-linear…

Methodology · Statistics 2021-06-24 Ang Li , Judea Pearl

Understanding the pathways whereby an intervention has an effect on an outcome is a common scientific goal. A rich body of literature provides various decompositions of the total intervention effect into pathway specific effects.…

Methodology · Statistics 2020-01-20 David Benkeser

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

With reference to a binary outcome and a binary mediator, we derive identification bounds for natural effects under a reduced set of assumptions. Specifically, no assumptions about confounding are made that involve the outcome; we only…

Methodology · Statistics 2026-04-03 Marco Doretti , Elena Stanghellini

Mediation analysis is a strategy for understanding the mechanisms by which treatments or interventions affect later outcomes. Mediation analysis is frequently applied in randomized trial settings, but typically assumes: a) that randomized…

Methodology · Statistics 2021-12-30 Kara E. Rudolph , Nicholas Williams , Ivan Diaz

Motivated by an analysis of causal mechanism from economic stress to entrepreneurial withdrawals through depressed affect, we develop a two-layer generalized varying coefficient mediation model. This model captures the bridging effects of…

Statistics Theory · Mathematics 2022-12-06 Jingyuan Liu , Yujie Liao , Runze Li

We study the sharp bounds of $\mathbb{E}[X_1\cdots X_d]$ when the univariate marginal distributions are known, but the dependence structure between them is unspecified. Maximizing products over non-negative variables is straightforward via…

Statistics Theory · Mathematics 2026-04-27 Christopher Blier-Wong , Jinghui Chen

We consider mediated effects of an exposure, X on an outcome, Y, via a mediator, M, under no unmeasured confounding assumptions in the setting where models for the conditional expectation of the mediator and outcome are partially linear. We…

Methodology · Statistics 2025-01-08 Oliver Hines , Stijn Vansteelandt , Karla Diaz-Ordaz

We propose a consistent estimator of sharp bounds on the variance of the difference-in-means estimator in completely randomized experiments. Generalizing Robins [Stat. Med. 7 (1988) 773-785], our results resolve a well-known identification…

Statistics Theory · Mathematics 2014-05-27 Peter M. Aronow , Donald P. Green , Donald K. K. Lee

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
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