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The average treatment effect (ATE), the mean difference in potential outcomes under treatment and control, is a canonical causal effect. Overlap, which says that all subjects have non-zero probability of either treatment status, is…

Methodology · Statistics 2026-05-14 Herbert P. Susmann , Alec McClean , Iván Díaz

Consider the problem of estimating average treatment effects when a large number of covariates are used to adjust for possible confounding through outcome regression and propensity score models. The conventional approach of model building…

Statistics Theory · Mathematics 2018-01-31 Zhiqiang Tan

Evaluating the value of new clinical treatment rules based on patient characteristics is important but often complicated by hidden confounding factors in observational studies. Standard methods for estimating the average patient outcome if…

Methodology · Statistics 2025-08-21 Johannes Hruza , Erin Gabriel , Arvid Sjölander , Samir Bhatt , Michael Sachs

We study causal inference in sample selection models where a continuous or multivalued treatment affects both outcome and their observability (eg., employment or survey response). We generalized the widely used Lee (2009)'s bounds for…

Econometrics · Economics 2025-10-29 Ying-Ying Lee , Chu-An Liu

We propose a novel framework for synthesizing counterfactual treatment group data in a target site by integrating full treatment and control group data from a source site with control group data from the target. Departing from conventional…

Methodology · Statistics 2025-11-14 Borna Bateni , Yubai Yuan , Qi Xu , Annie Qu

We consider the problem of estimating personalized treatment policies that are "externally valid" or "generalizable": they perform well in target populations that differ from the experimental (or training) population from which the data are…

Econometrics · Economics 2025-11-10 Christopher Adjaho , Timothy Christensen

Enhancing the external validity of trial results is essential for their applicability to real-world populations. However, violations of the positivity assumption can limit both the generalizability and transportability of findings. To…

Methodology · Statistics 2025-04-22 Jun Lu , Sanjib Basu

In many experimental or quasi-experimental studies, outcomes of interest are only observed for subjects who select (or are selected) to engage in the activity generating the outcome. Outcome data is thus endogenously missing for units who…

Methodology · Statistics 2026-01-14 Cyrus Samii , Ye Wang , Junlong Aaron Zhou

Randomized experiments are widely used to estimate the causal effects of a proposed treatment in many areas of science, from medicine and healthcare to the physical and biological sciences, from the social sciences to engineering, to public…

Methodology · Statistics 2022-11-30 Christina Lee Yu , Edoardo M Airoldi , Christian Borgs , Jennifer T Chayes

Estimation of local average treatment effects in randomized trials typically requires an assumption known as the exclusion restriction in cases where we are unwilling to rule out unmeasured confounding. Under this assumption, any benefit…

Methodology · Statistics 2020-08-17 Andrew J. Spieker , Robert A. Greevy , Lyndsay A. Nelson , Lindsay S. Mayberry

Investigators are increasingly using novel methods for extending (generalizing or transporting) causal inferences from a trial to a target population. In many generalizability and transportability analyses, the trial and the observational…

Methodology · Statistics 2022-09-20 Yu-Han Chiu , Issa J. Dahabreh

The goal of regression and classification methods in supervised learning is to minimize the empirical risk, that is, the expectation of some loss function quantifying the prediction error under the empirical distribution. When facing scarce…

Optimization and Control · Mathematics 2019-07-15 Soroosh Shafieezadeh-Abadeh , Daniel Kuhn , Peyman Mohajerin Esfahani

The treatment allocation mechanism in a randomized clinical trial can be optimized by maximizing the nonparametric efficiency bound for a specific measure of treatment effect. Optimal treatment allocations which may or may not depend on…

Methodology · Statistics 2025-05-23 Wei Zhang , Zhiwei Zhang , Aiyi Liu

Suppose one wishes to estimate the effect of a binary treatment on a binary endpoint conditional on a post-randomization quantity in a counterfactual world in which all subjects received treatment. It is generally difficult to identify this…

Methodology · Statistics 2019-11-12 Alex Luedtke , Jiacheng Wu

The generalization error of a learning algorithm refers to the discrepancy between the loss of a learning algorithm on training data and that on unseen testing data. Various information-theoretic bounds on the generalization error have been…

Information Theory · Computer Science 2025-06-24 Xuetong Wu , Jonathan H. Manton , Uwe Aickelin , Jingge Zhu

Causal inference in a program evaluation setting faces the problem of external validity when the treatment effect in the target population is different from the treatment effect identified from the population of which the sample is…

Methodology · Statistics 2021-12-23 Kyungchul Song , Zhengfei Yu

There is intense interest in applying machine learning to problems of causal inference in fields such as healthcare, economics and education. In particular, individual-level causal inference has important applications such as precision…

Machine Learning · Statistics 2017-05-17 Uri Shalit , Fredrik D. Johansson , David Sontag

We discuss the identifiability of causal estimands for generalizability and transportability analyses, both under perfect and imperfect adherence to treatment assignment. We consider a setting where the trial data contain information on…

Methodology · Statistics 2022-11-10 Issa J. Dahabreh , Sarah E. Robertson , Miguel A. Hernán

Existing weighting methods for treatment effect estimation are often built upon the idea of propensity scores or covariate balance. They usually impose strong assumptions on treatment assignment or outcome model to obtain unbiased…

Machine Learning · Computer Science 2023-05-09 Dongcheng Zhang , Kunpeng Zhang

Randomized experiments are an excellent tool for estimating internally valid causal effects with the sample at hand, but their external validity is frequently debated. While classical results on the estimation of Population Average…

Methodology · Statistics 2023-01-13 Apoorva Lal , Wenjing Zheng , Simon Ejdemyr