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No unmeasured confounding is often assumed in estimating treatment effects in observational data when using approaches such as propensity scores and inverse probability weighting. However, in many such studies due to the limitation of the…

Applications · Statistics 2019-08-06 Rong Huang , Ronghui Xu , Parambir S. Dulai

Most of the widely used estimators of the average treatment effect (ATE) in causal inference rely on the assumptions of unconfoundedness and overlap. Unconfoundedness requires that the observed covariates account for all correlations…

Statistics Theory · Mathematics 2025-07-01 Yang Cai , Alkis Kalavasis , Katerina Mamali , Anay Mehrotra , Manolis Zampetakis

Inferring causal effects of continuous-valued treatments from observational data is a crucial task promising to better inform policy- and decision-makers. A critical assumption needed to identify these effects is that all confounding…

Estimating heterogeneous treatment effects is central to data-driven decision-making, yet industrial applications often face a fundamental tension between limited randomized controlled trial (RCT) budgets and abundant but biased…

This paper provides a set of methods for quantifying the robustness of treatment effects estimated using the unconfoundedness assumption (also known as selection on observables or conditional independence). Specifically, we estimate and do…

Econometrics · Economics 2021-01-01 Matthew A. Masten , Alexandre Poirier , Linqi Zhang

In this paper, a Bayesian approach is developed for simultaneously comparing multiple experimental treatments with a common control treatment in an exploratory clinical trial. The sample size is set to ensure that, at the end of the study,…

Statistics Theory · Mathematics 2019-11-14 John Whitehead , Faye Cleary , Amanda Turner

Evaluating the treatment effects has become an important topic for many applications. However, most existing literature focuses mainly on the average treatment effects. When the individual effects are heavy-tailed or have outlier values,…

Methodology · Statistics 2023-05-11 Yongchang Su , Xinran Li

The growing availability of large health databases has expanded the use of observational studies for comparative effectiveness research. Unlike randomized trials, observational studies must adjust for systematic differences in patient…

Methodology · Statistics 2026-01-21 Haidong Lu , Fan Li , Laine E. Thomas , Fan Li

Synthetic data can improve generalization when real data is scarce, but excessive reliance may introduce distributional mismatches that degrade performance. In this paper, we present a learning-theoretic framework to quantify the trade-off…

Machine Learning · Statistics 2026-04-02 Amitis Shidani , Tyler Farghly , Yang Sun , Habib Ganjgahi , George Deligiannidis

Randomization tests are widely used to generate finite-sample valid $p$-values for causal inference on experimental data. However, when applied to subgroup analysis, these tests may lack power due to small subgroup sizes. Incorporating a…

Methodology · Statistics 2025-08-01 Yao Zhang , Zijun Gao

We study variants of the average treatment effect on the treated with population parameters replaced by their sample counterparts. For each estimand, we derive the limiting distribution with respect to a semiparametric efficient estimator…

Methodology · Statistics 2024-02-12 Andrew Yiu

In a randomized control trial, the precision of an average treatment effect estimator can be improved either by collecting data on additional individuals, or by collecting additional covariates that predict the outcome variable. We propose…

Methodology · Statistics 2017-09-27 Pedro Carneiro , Sokbae Lee , Daniel Wilhelm

This paper studies the identification of the average treatment effect on the treated (ATT) under unconfoundedness when covariate overlap is partial. A formal diagnostic is proposed to characterize empirical support -- the subset of the…

Econometrics · Economics 2025-06-11 Mengqi Li

Random-effects meta-analyses have been widely applied in evidence synthesis for various types of medical studies. However, standard inference methods (e.g. restricted maximum likelihood estimation) usually underestimate statistical errors…

Methodology · Statistics 2019-05-13 Shonosuke Sugasawa , Hisashi Noma

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

Causal conclusions from observational studies may be sensitive to unmeasured confounding. In such cases, a sensitivity analysis is often conducted, which tries to infer the minimum amount of hidden biases or the minimum strength of…

Methodology · Statistics 2025-01-03 Dongxiao Wu , Xinran Li

To ensure reliable causal conclusions from observational (i.e., non-randomized) studies, researchers routinely conduct sensitivity analysis to assess robustness to hidden bias due to unmeasured confounding. In matched observational studies…

Methodology · Statistics 2025-11-11 Siyu Heng , Elaine K. Chiu , Hyunseung Kang

This article studies experimental design in settings where the experimental units are large aggregate entities (e.g., markets), and only one or a small number of units can be exposed to the treatment. In such settings, randomization of the…

Methodology · Statistics 2025-04-24 Alberto Abadie , Jinglong Zhao

In randomized clinical trials, adjustments for baseline covariates at both design and analysis stages are highly encouraged by regulatory agencies. A recent trend is to use a model-assisted approach for covariate adjustment to gain…

Methodology · Statistics 2021-07-14 Ting Ye , Jun Shao , Yanyao Yi , Qingyuan Zhao

Researchers often use linear regression to analyse randomized experiments to improve treatment effect estimation by adjusting for imbalances of covariates in the treatment and control groups. Our work offers a randomization-based inference…

Statistics Theory · Mathematics 2022-07-08 Hanzhong Liu , Yuehan Yang