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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

Mediation analysis is a crucial tool for uncovering the mechanisms through which a treatment affects the outcome, providing deeper causal insights and guiding effective interventions. Despite advances in analyzing the mediation effect with…

Methodology · Statistics 2025-08-11 Shi Bo , AmirEmad Ghassami , Debarghya Mukherjee

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

An important problem in causal inference is to break down the total effect of a treatment on an outcome into different causal pathways and to quantify the causal effect in each pathway. For instance, in causal fairness, the total effect of…

Machine Learning · Statistics 2022-01-10 Lu Cheng , Ruocheng Guo , Huan Liu

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

High-dimensional mediation analysis aims to identify mediating pathways and to estimate indirect effects linking an exposure to an outcome. In this paper, we propose a Bayesian framework to address key challenges in these analyses,…

Methodology · Statistics 2026-02-13 Youngho Bae , Chanmin Kim , Fenglei Wang , Qi Sun , Kyu Ha Lee

The decomposition of the overall effect of a treatment into direct and indirect effects is here investigated with reference to a recursive system of binary random variables. We show how, for the single mediator context, the marginal effect…

Methodology · Statistics 2025-11-14 Martina Raggi , Elena Stanghellini , Marco Doretti

Joint models for a wide class of response variables and longitudinal measurements consist on a mixed-effects model to fit longitudinal trajectories whose random effects enter as covariates in a generalized linear model for the primary…

Methodology · Statistics 2014-07-03 Rolando De la Cruz , Cristian Meza , Ana Arribas-Gil , Raymond J. Carroll

With reference to a single mediator context, this brief report presents a model-based strategy to estimate counterfactual direct and indirect effects when the response variable is ordinal and the mediator is binary. Postulating a logistic…

Methodology · Statistics 2022-10-25 Elena Stanghellini , Maria Kateri

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

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

In this review paper, some applications of the mixed effect modeling in medial image processing and longitudinal analysis is studied. For this purpose, a general structure is extracted from some of the researches in the literature. This…

Medical Physics · Physics 2018-03-13 Fatemeh Nasiri , Oscar Acosta-Tamayo

Often linear regression is used to perform mediation analysis. However, in many instances, the underlying relationships may not be linear, as in the case of placental-fetal hormones and fetal development. Although, the exact functional form…

Methodology · Statistics 2023-10-16 Qing Yin , Jong-Hyeon Jeong , Xu Qin , Shyamal D Peddada , Jennifer Adibi

Causal mediation analysis examines causal pathways linking exposures to disease. The estimation of interventional effects, which are mediation estimands that overcome certain identifiability problems of natural effects, has been advanced…

Environmental health studies are increasingly measuring endogenous omics data ($\boldsymbol{M}$) to study intermediary biological pathways by which an exogenous exposure ($\boldsymbol{A}$) affects a health outcome ($\boldsymbol{Y}$), given…

Causal mediation analysis aims to characterize an exposure's effect on an outcome and quantify the indirect effect that acts through a given mediator or a group of mediators of interest. With the increasing availability of measurements on a…

Causal mediation analysis decomposes the total effect of a treatment on an outcome into the indirect effect, operating through the mediator, and the direct effect, operating through other pathways. One can estimate only the pure indirect…

Applications · Statistics 2025-07-16 Vindyani Herath , Ronald J. Bosch , Judith J. Lok

Mediation analysis aims to identify and estimate the effect of an exposure on an outcome that is mediated through one or more intermediate variables. In the presence of multiple intermediate variables, two pertinent methodological questions…

Quantitative Methods · Quantitative Biology 2026-01-06 Allan Jérolon , Flora Alarcon , Florence Pittion , Magali Richard , Olivier François , Etienne E. Birmelé , Vittorio Perduca

Mediation analysis is widely used in health science research to evaluate the extent to which an intermediate variable explains an observed exposure-outcome relationship. However, the validity of analysis can be compromised when the exposure…

Methodology · Statistics 2025-03-06 Chao Cheng , Donna Spiegelman , Fan Li