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In animal behavior studies, a common goal is to investigate the causal pathways between an exposure and outcome, and a mediator that lies in between. Causal mediation analysis provides a principled approach for such studies. Although many…

Controlled Direct Effect (CDE) is one of the causal estimands used to evaluate both exposure and mediation effects on an outcome. When there are unmeasured confounders existing between the mediator and the outcome, the ordinary…

Methodology · Statistics 2024-10-30 Shunichiro Orihara , Shinpei Imori , Kosuke Morikawa , Atsushi Goto , Masataka Taguri

Proximal causal inference was recently proposed as a framework to identify causal effects from observational data in the presence of hidden confounders for which proxies are available. In this paper, we extend the proximal causal inference…

Statistics Theory · Mathematics 2023-01-27 AmirEmad Ghassami , Alan Yang , Ilya Shpitser , Eric Tchetgen Tchetgen

Mediation analysis is widely used for exploring treatment mechanisms; however, it faces challenges when nonignorable missing confounders are present. Efficient inference of mediation effects and the efficiency loss due to nonignorable…

Methodology · Statistics 2026-04-22 Jiawei Shan , Wei Li , Chunrong Ai

Causal mediation analysis has been extended to estimate path-specific effects with multiple intermediate variables, isolating treatment effects through a mediator of interest while excluding pathways through its ancestors. Such analyses…

Methodology · Statistics 2026-05-12 Yang Bai , Sihan Wu , Baoluo Sun , Yifan Cui

With fast advancements in technologies, the collection of multiple types of measurements on a common set of subjects is becoming routine in science. Some notable examples include multimodal neuroimaging studies for the simultaneous…

Methodology · Statistics 2019-08-30 Yi Zhao , Lexin Li , Brian S. Caffo

Mediation analysis draws increasing attention in many scientific areas such as genomics, epidemiology and finance. In this paper, we propose new statistical inference procedures for high dimensional mediation models, in which both the…

Methodology · Statistics 2021-08-30 Xu Guo , Runze Li , Jingyuan Liu , Mudong Zeng

The paper considers mediation analysis with longitudinal data under latent growth curve models within a counterfactual framework. Estimators and their standard errors are derived for natural direct and indirect effects when the mediator,…

Methodology · Statistics 2021-03-11 Adam J. Sullivan , Douglas D. Gunzler , Nathan Morris , Tyler J. VanderWeele

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

In causal inference, it is common to estimate the causal effect of a single treatment variable on an outcome. However, practitioners may also be interested in the effect of simultaneous interventions on multiple covariates of a fixed target…

Methodology · Statistics 2022-11-24 Jaime Roquero Gimenez , Dominik Rothenhäusler

With reference to a stratified case-control procedure based on a binary variable of primary interest, we derive the expression of the distortion induced by the sampling design on the parameters of the logistic model of a secondary variable.…

Methodology · Statistics 2024-01-18 Marco Doretti , Minna Genbäck , Elena Stanghellini

Accurate estimation of treatment effects is essential for decision-making across various scientific fields. This task, however, becomes challenging in areas like social sciences and online marketplaces, where treating one experimental unit…

Machine Learning · Computer Science 2025-02-04 Mohsen Bayati , Yuwei Luo , William Overman , Sadegh Shirani , Ruoxuan Xiong

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

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

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

Natural direct and indirect effects decompose the effect of a treatment into the part that is mediated by a covariate (the mediator) and the part that is not. Their definitions rely on the concept of outcomes under treatment with the…

Methodology · Statistics 2015-09-02 Judith J. Lok

The study of disparities in the liver transplantation process may focus on quantifying causal effects, particularly the average, direct, or indirect effects of various social determinants of health on being listed as a candidate for…

Interpretability provides a toolset for understanding how and why neural networks behave in certain ways. However, there is little unity in the field: most studies employ ad-hoc evaluations and do not share theoretical foundations, making…

Mediation analysis is an important statistical tool in many research fields, where the joint significance test is widely utilized for examining mediation effects. Nevertheless, the limitation of this mediation testing method stems from its…

Methodology · Statistics 2024-09-06 Haixiang Zhang

Identification of standard mediated effects such as the natural indirect effect relies on heavy causal assumptions. By circumventing such assumptions, so-called randomized interventional indirect effects have gained popularity in the…

Methodology · Statistics 2023-10-03 Caleb H. Miles