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Mediation analysis in causal inference has traditionally focused on binary exposures and deterministic interventions, and a decomposition of the average treatment effect in terms of direct and indirect effects. In this paper we present an…

Methodology · Statistics 2020-11-17 Iván Díaz , Nima Hejazi

Mediation analysis aims to assess if, and how, a certain exposure influences an outcome of interest through intermediate variables. This problem has recently gained a surge of attention due to the tremendous need for such analyses in…

Methodology · Statistics 2023-10-19 He Yinqiu , Song Peter X. -K. , Xu Gongjun

During the past few years, mediation analysis has gained increasing popularity across various research fields. The primary objective of mediation analysis is to examine the direct impact of exposure on outcome, as well as the indirect…

Computation · Statistics 2023-05-18 Haixiang Zhang , Xin Li

Mediation analysis is a form of causal inference that investigates indirect effects and causal mechanisms. Confidence intervals for indirect effects play a central role in conducting inference. The problem is non-standard leading to…

Econometrics · Economics 2024-12-17 Kees Jan van Garderen , Noud van Giersbergen

There are numerous applications which involve modeling multi-dimensional count data, notably in actuarial science and risk management. When such data exhibit an excess of zeros, common count models are no longer suitable. With multivariate…

Methodology · Statistics 2025-09-30 Golshid Aflaki , Juliana Schulz , Jean-François Plante

Mediation analysis is becoming an increasingly important tool in scientific studies. A central question in high-dimensional mediation analysis is to infer the significance of individual mediators. The main challenge is the sheer number of…

Methodology · Statistics 2021-02-23 Chengchun Shi , Lexin Li

Dimension reduction of high-dimensional microbiome data facilitates subsequent analysis such as regression and clustering. Most existing reduction methods cannot fully accommodate the special features of the data such as count-valued and…

Methodology · Statistics 2023-05-02 Tianchen Xu , Ryan T. Demmer , Gen Li

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

Testing for mediation effect poses a challenge since the null hypothesis (i.e., the absence of mediation effects) is composite, making most existing mediation tests quite conservative and often underpowered. In this work, we propose a…

Methodology · Statistics 2024-11-20 Asmita Roy , Huijuan Zhou , Ni Zhao , Xianyang Zhang

Zero-inflated count data arise in various fields, including health, biology, economics, and the social sciences. These data are often modelled using probabilistic distributions such as zero-inflated Poisson (ZIP), zero-inflated negative…

Methodology · Statistics 2025-03-31 Zahra AghahosseinaliShirazi , Pedro A. Rangel , Camila P. E. de Souza

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

Bayesian causal inference offers a principled approach to policy evaluation of proposed interventions on mediators or time-varying exposures. We outline a general approach to the estimation of causal quantities for settings with…

Methodology · Statistics 2019-02-28 Leah Comment , Brent A. Coull , Corwin Zigler , Linda Valeri

Recent advances in causal mediation analysis have formalized conditions for estimating direct and indirect effects in various contexts. These approaches have been extended to a number of models for survival outcomes including accelerated…

Methodology · Statistics 2017-01-11 Isabel R. Fulcher , Eric Tchetgen Tchetgen , Paige L. Williams

Mediation analysis seeks to identify and quantify the paths by which an exposure affects an outcome. Intermediate variables which are effected by the exposure and which effect the outcome are known as mediators. There exists extensive work…

Methodology · Statistics 2020-11-13 James P. Long , Ehsan Irajizad , James D. Doecke , Kim-Anh Do , Min Jin Ha

Count data are common in medical research. When these data have more zeros than expected by the most used count distributions, it is common to employ a zero-inflated regression model. However, the interpretability of these models is much…

Methodology · Statistics 2025-09-30 Gustavo H. A. Pereira , Jeremias Leão , Manoel Santos-Neto , Jianwen Cai

Researchers are often interested in learning not only the effect of treatments on outcomes, but also the pathways through which these effects operate. A mediator is a variable that is affected by treatment and subsequently affects outcome.…

Methodology · Statistics 2021-12-22 Jeremiah Jones , Ashkan Ertefaie , Robert L. Strawderman

Mediation analysis is concerned with the decomposition of the total effect of an exposure on an outcome into the indirect effect through a given mediator, and the remaining direct effect. This is ideally done using longitudinal measurements…

Statistics Theory · Mathematics 2019-12-04 Murthy N Mittinty , Stijn Vansteelandt

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

Traditional mediation analysis typically examines the relations among an intervention, a time-invariant mediator, and a time-invariant outcome variable. Although there may be a direct effect of the intervention on the outcome, there is a…

Applications · Statistics 2020-08-28 Xizhen Cai , Donna L. Coffman , Megan E. Piper , Runze Li

This paper aims to provide practitioners of causal mediation analysis with a better understanding of estimation options. We take as inputs two familiar strategies (weighting and model-based prediction) and a simple way of combining them…