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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

It is common in medical studies that the outcome of interest is truncated by death, meaning that a subject has died before the outcome could be measured. In this case, restricted analysis among survivors may be subject to selection bias.…

Methodology · Statistics 2018-04-25 Linbo Wang , Xiao-Hua Zhou , Thomas S. Richardson

While randomised controlled trials (RCTs) are the gold standard for estimating causal treatment effects, their limited sample sizes and restrictive criteria make it difficult to extrapolate to a broader population. Observational data, while…

Methodology · Statistics 2025-09-09 Stephanie Riley , Ricardo Silva , Matthew Sperrin

The recovery of causal effects in structural models with missing data often relies on $m$-graphs, which assume that missingness mechanisms do not directly influence substantive variables. Yet, in many real-world settings, missing data can…

Methodology · Statistics 2025-06-19 Johan de Aguas , Leonard Henckel , Johan Pensar , Guido Biele

Traditional causal inference approaches leverage observational study data to estimate the difference in observed and unobserved outcomes for a potential treatment, known as the Conditional Average Treatment Effect (CATE). However, CATE…

Machine Learning · Statistics 2022-09-22 Tianhui Zhou , William E Carson , David Carlson

Randomization tests and flexible treatment-effect models offer complementary strengths for analyzing data from randomized panel experiments: the former provide valid inference under the known assignment mechanism, while the latter can…

Methodology · Statistics 2026-05-12 Fangnan Zheng , Yao Zhang

The weighted average treatment effect (WATE) defines a versatile class of causal estimands for populations characterized by propensity score weights, including the average treatment effect (ATE), treatment effect on the treated (ATT), on…

Methodology · Statistics 2025-09-23 Yiming Wang , Yi Liu , Shu Yang

Assume that one is interested in estimating an average treatment effect (ATE), equal to a weighted average of $S$ conditional average treatment effects (CATEs). One has unbiased estimators of the CATEs. One could just average the CATE…

Econometrics · Economics 2025-11-11 Clément de Chaisemartin

Randomized controlled trials (RCTs) face inherent limitations, such as ethical or resource constraints, which lead to a limited number of study participants. To address these limitations, recent research endeavors have sought to incorporate…

Methodology · Statistics 2025-02-20 Peijin Wang , Hwanhee Hong , Kyungeun Jeon , Laine Elliott Thomas

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

Methods that infer causal dependence from observational data are central to many areas of science, including medicine, economics, and the social sciences. A variety of theoretical properties of these methods have been proven, but empirical…

Methodology · Statistics 2021-07-08 Amanda Gentzel , Purva Pruthi , David Jensen

Estimating the conditional average treatment effect (CATE) from observational data is relevant for many applications such as personalized medicine. Here, we focus on the widespread setting where the observational data come from multiple…

Machine Learning · Computer Science 2024-06-05 Jonas Schweisthal , Dennis Frauen , Mihaela van der Schaar , Stefan Feuerriegel

The Average Treatment Effect (ATE) is a foundational metric in causal inference, widely used to assess intervention efficacy in randomized controlled trials (RCTs). However, in many applications -- particularly in healthcare -- this static…

Machine Learning · Computer Science 2025-07-23 Julianna Piskorz , Krzysztof Kacprzyk , Harry Amad , Mihaela van der Schaar

We consider the problem of estimating the average treatment effect (ATE) in a semi-supervised learning setting, where a very small proportion of the entire set of observations are labeled with the true outcome but features predictive of the…

Methodology · Statistics 2020-10-27 David Cheng , Ashwin Ananthakrishnan , Tianxi Cai

Covariate-adaptive randomization schemes such as the minimization and stratified permuted blocks are often applied in clinical trials to balance treatment assignments across prognostic factors. The existing theoretical developments on…

Methodology · Statistics 2020-07-21 Ting Ye , Yanyao Yi , Jun Shao

While randomized trials may be the gold standard for evaluating the effectiveness of the treatment intervention, in some special circumstances, single-arm clinical trials utilizing external control may be considered. The causal treatment…

Methodology · Statistics 2025-05-26 Huan Wang , Fei Wu , Yeh-Fong Chen

In a given randomized experiment, individuals are often volunteers and can differ in important ways from a population of interest. It is thus of interest to focus on the sample at hand. This paper focuses on inference about the sample local…

Methodology · Statistics 2024-09-23 Zhen Zhong , Per Johansson , Junni L. Zhang

We aim to generalize the results of a randomized controlled trial (RCT) to a target population with the help of some observational data. This is a problem of causal effect identification with multiple data sources. Challenges arise when the…

Methodology · Statistics 2022-06-15 Juha Karvanen

Non-compliance is common in real world experiments. We focus on inference about the sample complier average causal effect, that is, the average treatment effect for experimental units who are compliers. We present three types of inference…

Methodology · Statistics 2023-10-05 Zhen Zhong , Per Johansson , Junni L. Zhang

In observational studies, treatments are typically not randomized and therefore estimated treatment effects may be subject to confounding bias. The instrumental variable (IV) design plays the role of a quasi-experimental handle since the IV…

Methodology · Statistics 2016-08-30 Lan Liu , Wang Miao , Baoluo Sun , James Robins , Eric Tchetgen Tchetgen