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Benkeser et al. demonstrate how adjustment for baseline covariates in randomized trials can meaningfully improve precision for a variety of outcome types. Their findings build on a long history, starting in 1932 with R.A. Fisher and…

Methodology · Statistics 2026-03-03 Laura B. Balzer , Erica Cai , Lucas Godoy Garraza , Pracheta Amaranath

We propose a novel regression adjustment method designed for estimating distributional treatment effect parameters in randomized experiments. Randomized experiments have been extensively used to estimate treatment effects in various…

Econometrics · Economics 2024-07-24 Undral Byambadalai , Tatsushi Oka , Shota Yasui

Completely randomized experiment is the gold standard for causal inference. When the covariate information for each experimental candidate is available, one typical way is to include them in covariate adjustments for more accurate treatment…

Methodology · Statistics 2025-06-10 Xin Lu , Fan Yang , Yuhao Wang

Randomization is a basis for the statistical inference of treatment effects without strong assumptions on the outcome-generating process. Appropriately using covariates further yields more precise estimators in randomized experiments. R. A.…

Statistics Theory · Mathematics 2020-01-03 Xinran Li , Peng Ding

The analysis of randomized trials with time-to-event endpoints is nearly always plagued by the problem of censoring. As the censoring mechanism is usually unknown, analyses typically employ the assumption of non-informative censoring. While…

Methodology · Statistics 2020-07-17 Kelly Van Lancker , Oliver Dukes , Stijn Vansteelandt

In recent years, real-world external controls have grown in popularity as a tool to empower randomized placebo-controlled trials, particularly in rare diseases or cases where balanced randomization is unethical or impractical. However, as…

Methodology · Statistics 2024-11-14 Chenyin Gao , Shu Yang , Mingyang Shan , Wenyu Ye , Ilya Lipkovich , Douglas Faries

This paper investigates the use of regularization priors in the context of treatment effect estimation using observational data where the number of control variables is large relative to the number of observations. First, the phenomenon of…

Methodology · Statistics 2016-12-30 P. Richard Hahn , Carlos M. Carvalho , Jingyu He , David Puelz

In 2023, the U.S. Food and Drug Administration issued guidance for adjustment of covariates in randomized clinical trials, emphasizing its role in enhancing precision and power through prognostic baseline variables. Despite its potential,…

Methodology · Statistics 2026-05-28 Kelly Van Lancker , Iván Díaz , Stijn Vansteelandt

Although randomized controlled trials (RCTs) are a cornerstone of comparative effectiveness, they typically have much smaller sample size than observational studies because of financial and ethical considerations. Therefore there is…

Methodology · Statistics 2023-11-16 Lauren D. Liao , Emilie Højbjerre-Frandsen , Alan E. Hubbard , Alejandro Schuler

We often seek to estimate the causal effect of an exposure on a particular outcome in both randomized and observational settings. One such estimation method is the covariate-adjusted residuals estimator, which was designed for individually…

Methodology · Statistics 2019-10-28 Stephen A. Lauer , Nicholas G. Reich , Laura B. Balzer

Modern applications require methods that are computationally feasible on large datasets but also preserve statistical efficiency. Frequently, these two concerns are seen as contradictory: approximation methods that enable computation are…

Methodology · Statistics 2021-06-11 Darren Homrighausen , Daniel J. McDonald

In numerous regular statistical models, median bias reduction (Kenne Pagui et al., 2017) has proven to be a noteworthy improvement over maximum likelihood, alternative to mean bias reduction. The estimator is obtained as solution to a…

Methodology · Statistics 2020-12-01 Euloge Clovis Kenne Pagui , Alessandra Salvan , Nicola Sartori

Many core concepts in political science are latent and therefore can only be measured with error. Measurement error in a predictor attenuates slope coefficient estimates in regression, biasing them toward zero. We show that widely used…

Applications · Statistics 2026-02-04 Connor T. Jerzak , Stephen A. Jessee

The estimation of the extremal dependence structure is spoiled by the impact of the bias, which increases with the number of observations used for the estimation. Already known in the univariate setting, the bias correction procedure is…

Statistics Theory · Mathematics 2015-04-03 Anne-Laure Fougères , Laurens de Haan , Cécile Mercadier

Covariate adjustment has the potential to increase power in the analysis of randomised trials, but mis-specification of the adjustment model could cause error. We explore what error is possible when the adjustment model omits a covariate by…

Methodology · Statistics 2021-07-16 Ian R. White , Tim P Morris , Elizabeth Williamson

Randomization, as a key technique in clinical trials, can eliminate sources of bias and produce comparable treatment groups. In randomized experiments, the treatment effect is a parameter of general interest. Researchers have explored the…

Methodology · Statistics 2023-12-05 Fuyi Tu , Wei Ma , Hanzhong Liu

Complete randomization allows for consistent estimation of the average treatment effect based on the difference in means of the outcomes without strong modeling assumptions on the outcome-generating process. Appropriate use of the…

Methodology · Statistics 2021-08-03 Anqi Zhao , Peng Ding

Matching is a widely used causal inference design that aims to approximate a randomized experiment using observational data by forming matched sets of treated and control units based on similarities in their covariates. Ideally, treated…

Methodology · Statistics 2026-04-06 Jianan Zhu , Jeffrey Zhang , Zijian Guo , Siyu Heng

This paper extends the literature on the theoretical properties of synthetic controls to the case of non-linear generative models, showing that the synthetic control estimator is generally biased in such settings. I derive a lower bound for…

Econometrics · Economics 2021-11-23 Oscar Engelbrektson

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