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Mediation analysis has traditionally focused on outcome-level summary contrasts, such as mean effects, which may obscure substantial distributional changes induced by complex and nonlinear causal mechanisms. We propose Distributional Causal…

Machine Learning · Statistics 2026-05-05 Jinlun Zhang , Haoneng Huang , Zishu Zhan , Chunquan Ou

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

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

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…

We consider Bayesian high-dimensional mediation analysis to identify among a large set of correlated potential mediators the active ones that mediate the effect from an exposure variable to an outcome of interest. Correlations among…

Causal mediation analyses investigate the mechanisms through which causes exert their effects, and are therefore central to scientific progress. The literature on the non-parametric definition and identification of mediational effects in…

Machine Learning · Statistics 2025-06-13 Richard Liu , Nicholas T. Williams , Kara E. Rudolph , Iván Díaz

Intensive longitudinal data, characterized by frequent measurements across numerous time points, are increasingly common due to advances in wearable devices and mobile health technologies. We consider evaluating causal mediation pathways…

Methodology · Statistics 2025-06-26 Tianchen Qian

Mediation analysis aims to separate the indirect effect through mediators from the direct effect of the exposure on the outcome. It is challenging to perform mediation analysis with neuroimaging data which involves high dimensionality,…

Methodology · Statistics 2025-12-30 Yuliang Xu , Timothy D Johnson , Mary Heitzeg , Jian Kang

An essential goal of program evaluation and scientific research is the investigation of causal mechanisms. Over the past several decades, causal mediation analysis has been used in medical and social sciences to decompose the treatment…

Methodology · Statistics 2016-01-15 K. C. G. Chan , K. Imai , S. C. P. Yam , Z. Zhang

The incorporation of causal inference in mediation analysis has led to theoretical and methodological advancements -- effect definitions with causal interpretation, clarification of assumptions required for effect identification, and an…

Methodology · Statistics 2022-10-31 Trang Quynh Nguyen , Ian Schmid , Elizabeth A. Stuart

Given empirical evidence for the dependence of an outcome variable on an exposure variable, we can typically only provide bounds for the "probability of causation" in the case of an individual who has developed the outcome after being…

Statistics Theory · Mathematics 2020-04-28 A. P. Dawid , R. Murtas , M. Musio

The use of causal mediation analysis to evaluate the pathways by which an exposure affects an outcome is widespread in the social and biomedical sciences. Recent advances in this area have established formal conditions for identification…

Methodology · Statistics 2018-08-14 Isabel R. Fulcher , Xu Shi , Eric J. Tchetgen Tchetgen

Deciding on an appropriate intervention requires a causal model of a treatment, the outcome, and potential mediators. Causal mediation analysis lets us distinguish between direct and indirect effects of the intervention, but has mostly been…

Machine Learning · Computer Science 2023-06-19 Çağlar Hızlı , ST John , Anne Juuti , Tuure Saarinen , Kirsi Pietiläinen , Pekka Marttinen

An individual has been subjected to some exposure and has developed some outcome. Using data on similar individuals, we wish to evaluate, for this case, the probability that the outcome was in fact caused by the exposure. Even with the best…

Statistics Theory · Mathematics 2017-06-16 Rossella Murtas , Alexander Philip Dawid , Monica Musio

Causal mediation analysis is a powerful tool for disentangling the total effect of a treatment into its direct effect on the outcome and its indirect effect mediated through an intermediate variable. However, in observational studies,…

Econometrics · Economics 2026-04-28 Yuhao Deng , Haoyu Wei , Zhongzhe Ouyang

With advances in high-resolution mass spectrometry technologies, metabolomics data are increasingly used to investigate biological mechanisms underlying associations between exposures and health outcomes in clinical and epidemiological…

Applications · Statistics 2025-03-19 Yuzi Zhang , Donghai Liang , Youran Tan , Anne L. Dunlop , Howard H. Chang

We propose a unified class of generalized structural equation models (GSEMs) with data of mixed types in mediation analysis, including continuous, categorical, and count variables. Such models extend substantially the classical linear…

Methodology · Statistics 2023-12-05 Wei Hao , Canyi Chen , Peter X. -K. Song

The analysis of environmental mixtures is of growing importance in environmental epidemiology, and one of the key goals in such analyses is to identify exposures and their interactions that are associated with adverse health outcomes.…

Methodology · Statistics 2021-03-22 Srijata Samanta , Joseph Antonelli

Estimating the health impacts of exposure to a mixture of chemicals poses many statistical challenges: multiple correlated exposure variables, moderate to high dimensionality, and possible nonlinear and interactive health effects of mixture…

Methodology · Statistics 2025-12-04 Nate Wiecha , Emily Griffith , Brian J. Reich , Jane A. Hoppin

The synthetic control method (SCM) allows estimating the causal effect of an intervention in settings where panel data on a small number of treated and control units are available. We show that the existing SCM, as well as its extensions,…

Applications · Statistics 2022-05-20 Giovanni Mellace , Alessandra Pasquini