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State-level policy studies often conduct heterogeneity analyses that quantify how treatment effects vary across state characteristics. These analyses may be used to inform state-specific policy decisions, or to infer how the effect of a…

When evaluating a two-phase intervention, the cumulative average treatment effect (ATE) is often the primary causal estimand of interest. However, some individuals who do not respond well to the Phase I treatment may subsequently display…

Methodology · Statistics 2026-02-02 Guanglei Hong , Xu Qin , Zhengyan Xu , Fan Yang

We propose plug-in (PI) and double machine learning (DML) estimators of average treatment effect (ATE), average treatment effect on the treated (ATET) and local average treatment effect (LATE) in the multivariate sample selection model with…

Econometrics · Economics 2025-11-18 Sofiia Dolgikh , Bodan Potanin

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

Confounding bias and selection bias bring two significant challenges to the validity of conclusions drawn from applied causal inference. The latter can stem from informative missingness, such as in cases of attrition. We introduce the…

Methodology · Statistics 2025-03-25 Johan de Aguas , Johan Pensar , Tomás Varnet Pérez , Guido Biele

Selection bias is pervasive in observational studies. For example, large scale biobanks data can exhibit ``healthy volunteer bias'' when respondents are healthier and of higher socio-economic status than the population they are meant to…

Methodology · Statistics 2026-05-14 Yiwen Qiu , Filip Kovacevic , Shimeng Huang , Peter Spirtes , Francesco Locatello

Comparative binary outcome data are of fundamental interest in statistics and are often pooled in meta-analyses. Here we examine the simplest case where for each study there are two patient groups and a binary event of interest, giving rise…

Methodology · Statistics 2018-06-12 Rose Baker , Dan Jackson

We study the probability tail properties of Inverse Probability Weighting (IPW) estimators of the Average Treatment Effect (ATE) when there is limited overlap between the covariate distributions of the treatment and control groups. Under…

Methodology · Statistics 2024-12-12 Jonathan B. Hill , Saraswata Chaudhuri

We study the problem of estimating the average treatment effect (ATE) in adaptive experiments where treatment can only be encouraged -- rather than directly assigned -- via a binary instrumental variable. Building on semiparametric…

Methodology · Statistics 2025-10-30 Miruna Oprescu , Brian M Cho , Nathan Kallus

A new meta-algorithm for estimating the conditional average treatment effects is proposed in the paper. The main idea underlying the algorithm is to consider a new dataset consisting of feature vectors produced by means of concatenation of…

Machine Learning · Statistics 2019-09-10 Lev V. Utkin , Mikhail V. Kots , Viacheslav S. Chukanov

When randomized controlled trials are impractical or unethical to simultaneously compare multiple treatments, indirect treatment comparisons using single-arm trials offer valuable evidence for health technology assessments, especially for…

Methodology · Statistics 2025-09-30 Yuru Zhu , Huiyuan Wang , Haitao Chu , Yumou Qiu , Yong Chen

In the social and health sciences, researchers often make causal inferences using sensitive variables. These researchers, as well as the data holders themselves, may be ethically and perhaps legally obligated to protect the confidentiality…

Methodology · Statistics 2024-08-28 Sharmistha Guha , Jerome P. Reiter

This paper presents methods to study the causal effect of a binary treatment on a functional outcome with observational data. We define a Functional Average Treatment Effect and develop an outcome regression estimator. We show how to obtain…

Methodology · Statistics 2025-09-08 Kreske Ecker , Xavier de Luna , Lina Schelin

From personalised medicine to targeted advertising, it is an inherent task to provide a sequence of decisions with historical covariates and outcome data. This requires understanding of both the dynamics and heterogeneity of treatment…

Methodology · Statistics 2022-06-22 Oscar Hernan Madrid Padilla , Yi Yu

We study the benign overfitting theory in the prediction of the conditional average treatment effect (CATE), with linear regression models. As the development of machine learning for causal inference, a wide range of large-scale models for…

Econometrics · Economics 2022-02-17 Masahiro Kato , Masaaki Imaizumi

Randomized controlled trials (RCTs) often suffer from limited inferential efficiency in estimating treatment effects due to their small sample sizes. In recent years, incorporating external controls (ECs) has gained increasing attention as…

Methodology · Statistics 2026-04-16 Qinwei Yang , Jingyi Li , Peng Wu , Shu Yang

We address the estimation of conditional average treatment effects (CATEs) for structured treatments (e.g., graphs, images, texts). Given a weak condition on the effect, we propose the generalized Robinson decomposition, which (i) isolates…

Machine Learning · Computer Science 2021-10-29 Jean Kaddour , Yuchen Zhu , Qi Liu , Matt J. Kusner , Ricardo Silva

Individual treatment effect (ITE) estimation requires adjusting for the covariate shift between populations with different treatments, and deep representation learning has shown great promise in learning a balanced representation of…

Machine Learning · Computer Science 2023-12-19 Amirreza Kazemi , Martin Ester

Numerous empirical studies employ regression discontinuity designs with multiple cutoffs and heterogeneous treatments. A common practice is to normalize all the cutoffs to zero and estimate one effect. This procedure identifies the average…

Econometrics · Economics 2021-01-06 Marinho Bertanha

To investigate causal mechanisms, causal mediation analysis decomposes the total treatment effect into the natural direct and indirect effects. This paper examines the estimation of the direct and indirect effects in a general treatment…

Statistics Theory · Mathematics 2024-01-24 Lukang Huang , Wei Huang , Oliver Linton , Zheng Zhang