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Regression adjustment is broadly applied in randomized trials under the premise that it usually improves the precision of a treatment effect estimator. However, previous work has shown that this is not always true. To further understand…

Methodology · Statistics 2022-10-11 Katarzyna Reluga , Ting Ye , Qingyuan Zhao

Regression adjustments are often made to experimental data. Since randomization does not justify the models, bias is likely; nor are the usual variance calculations to be trusted. Here, we evaluate regression adjustments using Neyman's…

Applications · Statistics 2008-12-18 David A. Freedman

Freedman [Adv. in Appl. Math. 40 (2008) 180-193; Ann. Appl. Stat. 2 (2008) 176-196] critiqued ordinary least squares regression adjustment of estimated treatment effects in randomized experiments, using Neyman's model for randomization…

Applications · Statistics 2013-04-22 Winston Lin

Randomized experiments have become important tools in empirical research. In a completely randomized treatment-control experiment, the simple difference in means of the outcome is unbiased for the average treatment effect, and covariate…

Statistics Theory · Mathematics 2021-01-01 Lihua Lei , Peng Ding

The objective of this work is to propose an asymptotic correction method for the estimators of parameters from regression models with covariates subject to classification errors. A correction was developed based on the least squares…

Methodology · Statistics 2025-07-11 Alexandre Garcia Dias , Mariana Rodrigues Motta , Alexandre Hild Aono

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

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

A growing statistical literature focuses on causal inference in the context of experiments where the target of inference is the average treatment effect in a finite population and random assignment determines which subjects are allocated to…

Methodology · Statistics 2025-09-04 Jonas M. Mikhaeil , Donald P. Green

In randomized controlled trials without interference, regression adjustment is widely used to enhance the efficiency of treatment effect estimation. This paper extends this efficiency principle to settings with network interference, where a…

Methodology · Statistics 2025-02-18 Xinyuan Fan , Chenlei Leng , Weichi Wu

There has been a growing interest in covariate adjustment in the analysis of randomized controlled trials in past years. For instance, the U.S. Food and Drug Administration recently issued guidance that emphasizes the importance of…

Methodology · Statistics 2023-06-12 Kelly Van Lancker , Frank Bretz , Oliver Dukes

This paper investigates estimation and inference for average treatment effects in completely randomized experiments when researchers observe potentially many covariates. Within Neyman's (1923) design-based framework, allowing the number of…

Econometrics · Economics 2025-11-20 Harold D Chiang , Yukitoshi Matsushita , Taisuke Otsu

We study the problem of treatment effect estimation in randomized experiments with high-dimensional covariate information, and show that essentially any risk-consistent regression adjustment can be used to obtain efficient estimates of the…

Methodology · Statistics 2022-06-08 Stefan Wager , Wenfei Du , Jonathan Taylor , Robert Tibshirani

Two recently introduced model based bias corrected estimators for proportion of true null hypotheses ($\pi_0$) under multiple hypotheses testing scenario have been restructured for exponentially distributed random observations available for…

Statistics Theory · Mathematics 2020-07-28 Aniket Biswas , Gaurangadeb Chattopadhyay , Aditya Chatterjee

This article introduces a leave-one-out regression adjustment (LOORA) for estimating average treatment effects in randomized controlled trials. In finite samples, LOORA removes the bias of conventional regression adjustment and yields exact…

Econometrics · Economics 2026-05-08 Alberto Abadie , Mehrdad Ghadiri , Ali Jadbabaie , Mahyar JafariNodeh

We consider linear regression model estimation where the covariate of interest is randomly censored. Under a non-informative censoring mechanism, one may obtain valid estimates by deleting censored observations. However, this comes at a…

Applications · Statistics 2017-10-24 Folefac Atem , Roland A. Matsouaka

We study average treatment effect (ATE) estimation under complete randomization with many covariates in a design-based, finite-population framework. In randomized experiments, regression adjustment can improve precision of estimators using…

Statistics Theory · Mathematics 2025-11-12 Dogyoon Song

When the difference between treatments in a clinical trial is estimated by a difference in means, then it is well known that randomization ensures unbiassed estimation, even if no account is taken of important baseline covariates. However,…

Statistics Theory · Mathematics 2014-07-22 J. N. S. Matthews , Nuri H. Badi

Covariance regression analysis is an approach to linking the covariance of responses to a set of explanatory variables $X$, where $X$ can be a vector, matrix, or tensor. Most of the literature on this topic focuses on the "Fixed-$X$"…

Statistics Theory · Mathematics 2025-01-08 Tao Zou , Wei Lan , Runze Li , Chih-Ling Tsai

In this work, we proposed a novel inferential procedure assisted by machine learning based adjustment for randomized control trials. The method was developed under the Rosenbaum's framework of exact tests in randomized experiments with…

Methodology · Statistics 2024-07-23 Han Yu , Alan D. Hutson , Xiaoyi Ma

In randomized experiments, regression adjustment can improve the precision of average treatment effect (ATE) estimation using covariates without requiring a correctly specified outcome model. Although well studied in low-dimensional…

Statistics Theory · Mathematics 2026-04-28 Dogyoon Song
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