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A high-quality experimental dataset is often much smaller than a corresponding observational dataset. When this holds with possibly biased measurements of the outcome of interest in the latter, we propose an estimation and inference…

Methodology · Statistics 2026-05-19 Harrison H Li

Establishing causality is a fundamental goal in fields like medicine and social sciences. While randomized controlled trials are the gold standard for causal inference, they are not always feasible or ethical. Observational studies can…

Statistics Theory · Mathematics 2024-12-03 Andrew Ying

Instrumental variables (IVs) are widely used for estimating causal effects in the presence of unmeasured confounding. Under the standard IV model, however, the average treatment effect (ATE) is only partially identifiable. To address this,…

Methodology · Statistics 2018-01-08 Linbo Wang , Eric Tchetgen Tchetgen

To maximize clinical benefit, clinicians routinely tailor treatment to the individual characteristics of each patient, where individualized treatment rules are needed and are of significant research interest to statisticians. In the…

Methodology · Statistics 2021-11-23 Trinetri Ghosh , Yanyuan Ma , Rui Song , Pingshou Zhong

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

Standard methods for estimating average causal effects require complete observations of the exposure and confounders. In observational studies, however, missing data are ubiquitous. Motivated by a study on the effect of prescription opioids…

Methodology · Statistics 2025-06-30 Lan Wen , Glen McGee

Estimating the long-term effects of treatments is of interest in many fields. A common challenge in estimating such treatment effects is that long-term outcomes are unobserved in the time frame needed to make policy decisions. One approach…

Methodology · Statistics 2024-08-23 Susan Athey , Raj Chetty , Guido Imbens , Hyunseung Kang

Every design choice will have different effects on different units. However traditional A/B tests are often underpowered to identify these heterogeneous effects. This is especially true when the set of unit-level attributes is…

Artificial Intelligence · Computer Science 2016-11-09 Alexander Peysakhovich , Akos Lada

Studies often report estimates of the average treatment effect. While the ATE summarizes the effect of a treatment on average, it does not provide any information about the effect of treatment within any individual. A treatment strategy…

Methodology · Statistics 2025-06-13 Nicholas T. Williams , Katherine L. Hoffman Iván Díaz , Kara E. Rudolph

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

Data aggregation, also known as meta analysis, is widely used to combine knowledge on parameters shared in common (e.g., average treatment effect) between multiple studies. In this paper, we introduce an attractive data aggregation scheme…

Methodology · Statistics 2023-05-10 Snigdha Panigrahi , Jingshen Wang , Xuming He

In this paper, we develop new methods for estimating average treatment effects in observational studies, focusing on settings with more than two treatment levels under unconfoundedness given pre-treatment variables. We emphasize…

Methodology · Statistics 2017-10-11 Shu Yang , Guido W. Imbens , Zhanglin Cui , Douglas Faries , Zbigniew Kadziola

A common concern in observational studies focuses on properly evaluating the causal effect, which usually refers to the average treatment effect or the average treatment effect on the treated. In this paper, we propose a data preprocessing…

Methodology · Statistics 2021-01-12 Xialing Wen , Ying Yan , Wenliang Pan , Xianyang Zhang

Functional principal component analysis has been shown to be invaluable for revealing variation modes of longitudinal outcomes, which serves as important building blocks for forecasting and model building. Decades of research have advanced…

Methodology · Statistics 2024-10-07 Peijun Sang , Dehan Kong , Shu Yang

In this article, we aim to provide a general and complete understanding of semi-supervised (SS) causal inference for treatment effects. Specifically, we consider two such estimands: (a) the average treatment effect and (b) the quantile…

Methodology · Statistics 2024-08-15 Abhishek Chakrabortty , Guorong Dai

Randomized clinical trials typically aim to estimate a marginal treatment effect. While covariate adjustment can improve precision, it may change the estimand in nonlinear models due to noncollapsibility, leading to conditional rather than…

Methodology · Statistics 2026-05-25 Leticia Wuethrich , Torsten Hothorn

Most clinical trials involve the comparison of a new treatment to a control arm (e.g., the standard of care) and the estimation of a treatment effect. External data, including historical clinical trial data and real-world observational…

Methodology · Statistics 2021-03-17 Tianjian Zhou , Yuan Ji

Consider the problem of estimating the local average treatment effect with an instrument variable, where the instrument unconfoundedness holds after adjusting for a set of measured covariates. Several unknown functions of the covariates…

Methodology · Statistics 2020-09-22 Baoluo Sun , Zhiqiang Tan

We study regression discontinuity designs with the use of additional covariates for estimation of the average treatment effect. We provide a detailed proof of asymptotic normality of the covariate-adjusted estimator under minimal…

Statistics Theory · Mathematics 2023-10-16 Patrick Kramer , Alexander Kreiß

We study identifying and estimating the causal effect of a treatment variable on a long-term outcome using data from an observational and an experimental domain. The observational data are subject to unobserved confounding. Furthermore,…

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