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The average treatment effect (ATE) is a common parameter estimated in causal inference literature, but it is only defined for binary exposures. Thus, despite concerns raised by some researchers, many studies seeking to estimate the causal…

Methodology · Statistics 2026-02-06 Kaitlyn J. Lee , Alan Hubbard , Alejandro Schuler

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

In both observational studies and randomized trials, post-treatment events such as dropout, nonadherence, and truncation by death occur frequently. In some studies, conditioning on post-treatment variables is a deliberate strategy to…

Methodology · Statistics 2026-04-24 Marco Piccininni , Mats J. Stensrud

With multiple potential mediators on the causal pathway from a treatment to an outcome, we consider the problem of decomposing the effects along multiple possible causal path(s) through each distinct mediator. Under Pearl's path-specific…

Methodology · Statistics 2021-02-04 Wen Wei Loh , Beatrijs Moerkerke , Tom Loeys , Stijn Vansteelandt

Educational systems have traditionally been evaluated using cross-sectional studies, namely, examining a pretest, posttest, and single intervention. Although this is a popular approach, it does not model valuable information such as…

Applications · Statistics 2021-08-03 Manie Tadayon , Greg Pottie

Unlike classical causal inference, which often has an average causal effect of a treatment within a population as a target, in settings such as personalized medicine, the goal is to map a given unit's characteristics to a treatment tailored…

Methodology · Statistics 2017-09-13 Ilya Shpitser , Sourjya Sarkar

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

Mediation analysis allows one to use observational data to estimate the importance of each potential mediating pathway involved in the causal effect of an exposure on an outcome. However, current approaches to mediation analysis with…

Recent years have seen a swell in methods that focus on estimating "individual treatment effects". These methods are often focused on the estimation of heterogeneous treatment effects under ignorability assumptions. This paper hopes to draw…

Methodology · Statistics 2021-08-12 Brian G. Vegetabile

Regression discontinuity designs are widely used when treatment assignment is determined by whether a running variable exceeds a predefined threshold. However, most research focuses on estimating local causal effects at the threshold,…

Methodology · Statistics 2025-01-06 Xinqin Feng , Wenjie Hu , Pu Yang , Tingyu Li , Xiao-Hua Zhou

A growing number of methods aim to assess the challenging question of treatment effect variation in observational studies. This special section of "Observational Studies" reports the results of a workshop conducted at the 2018 Atlantic…

Methodology · Statistics 2019-09-17 Carlos Carvalho , Avi Feller , Jared Murray , Spencer Woody , David Yeager

This paper considers identifying and estimating the Average Treatment Effect on the Treated (ATT) when untreated potential outcomes are generated by an interactive fixed effects model. That is, in addition to time-period and individual…

Econometrics · Economics 2022-02-15 Brantly Callaway , Sonia Karami

Estimating the conditional average treatment effects (CATE) is very important in causal inference and has a wide range of applications across many fields. In the estimation process of CATE, the unconfoundedness assumption is typically…

Machine Learning · Computer Science 2024-12-16 Pengfei Shi , Wei Zhong , Xinyu Zhang , Ningtao Wang , Xing Fu , Weiqiang Wang , Yin Jin

One of the main tasks of causal inference is estimating well-defined causal parameters. One of the main causal parameters is the average causal effect (ACE) - the expected value of the individual level causal effects in the target…

Methodology · Statistics 2021-12-17 Fernando Pires Hartwig

This paper provides robust estimators and efficient inference of causal effects involving multiple interacting mediators. Most existing works either impose a linear model assumption among the mediators or are restricted to handle…

Methodology · Statistics 2024-01-12 Haoyu Wei , Hengrui Cai , Chengchun Shi , Rui Song

Causal inference on populations embedded in social networks poses technical challenges, since the typical no interference assumption frequently does not hold. Existing methods developed in the context of network interference rely upon the…

Methodology · Statistics 2024-04-12 Vanessa McNealis , Erica E. M. Moodie , Nema Dean

We consider estimation of the target population average treatment effect (TATE) when outcome information is unavailable. Instead, we observe the outcome in multiple source populations and wish to combine the treatment effects therein to…

Methodology · Statistics 2025-05-16 Zehao Su , Helene Charlotte Rytgaard , Henrik Ravn , Frank Eriksson

Treatment effect estimation involves assessing the impact of different treatments on individual outcomes. Current methods estimate Conditional Average Treatment Effect (CATE) using observational datasets where covariates are collected…

Machine Learning · Computer Science 2025-02-10 Lokesh Nagalapatti , Pranava Singhal , Avishek Ghosh , Sunita Sarawagi

The conditional average treatment effect (CATE) is frequently estimated to refute the homogeneous treatment effect assumption. Under this assumption, all units making up the population under study experience identical benefit from a given…

Typical causal effects are defined based on the marginal distribution of potential outcomes. However, many real-world applications require causal estimands involving the joint distribution of potential outcomes to enable more nuanced…

Methodology · Statistics 2026-04-17 Peng Wu , Xiaojie Mao