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Stratification and rerandomization are two well-known methods used in randomized experiments for balancing the baseline covariates. Renowned scholars in experimental design have recommended combining these two methods; however, limited…

Methodology · Statistics 2021-10-27 Xinhe Wang , Tingyu Wang , Hanzhong Liu

Covariate-adjusted randomization (CAR) can reduce the risk of covariate imbalance and, when accounted for in analysis, increase the power of a trial. Despite CAR advances, stratified randomization remains the most common CAR method. Matched…

Methodology · Statistics 2023-07-13 Jonathan J. Chipman , Lindsay Mayberry , Robert A. Greevy

Predictive risk scores estimating probabilities for a binary outcome on the basis of observed covariates are common across the sciences. They are frequently developed with the intent of avoiding the outcome in question by intervening in…

Methodology · Statistics 2022-08-26 James Liley

In modern randomized experiments, large-scale data collection increasingly yields rich baseline covariates and auxiliary information from multiple sources. Such information offers opportunities for more precise treatment effect estimation,…

Methodology · Statistics 2026-03-10 Wei Ma , Zeqi Wu , Zheng Zhang

We describe a new family of coupling designs, extending the basic principle of stratified randomization to experiments with continuous, constrained multivariate, text/image and other irregular treatment spaces. Our approach is to first…

Econometrics · Economics 2026-04-14 Max Cytrynbaum , Fredrik Sävje

A simple device for balancing for a continuous covariate in clinical trials is to stratify by whether the covariate is above or below some target value, typically the predicted median. This raises an issue as to which model should be used…

Methodology · Statistics 2025-10-24 Stephen Senn , Franz König , Martin Posch

In this paper, we propose a stratified sampling algorithm in which the random drawings made in the strata to compute the expectation of interest are also used to adaptively modify the proportion of further drawings in each stratum. These…

Methodology · Statistics 2007-12-04 Pierre Etore , Benjamin Jourdain

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

Causal analyses for observational studies are often complicated by covariate imbalances among treatment groups, and matching methodologies alleviate this complication by finding subsets of treatment groups that exhibit covariate balance. It…

Methodology · Statistics 2021-04-26 Zach Branson

In classification problems, sampling bias between training data and testing data is critical to the ranking performance of classification scores. Such bias can be both unintentionally introduced by data collection and intentionally…

Methodology · Statistics 2017-11-02 Chandler Zuo

We present a new experimental design procedure that divides a set of experimental units into two groups in order to minimize error in estimating an additive treatment effect. One concern is minimizing error at the experimental design stage…

Methodology · Statistics 2021-02-02 Abba M. Krieger , David Azriel , Adam Kapelner

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

The treatment assignment mechanism in a randomized clinical trial can be optimized for statistical efficiency within a specified class of randomization mechanisms. Optimal designs of this type have been characterized in terms of the…

Methodology · Statistics 2025-09-03 Wei Zhang , Zhiwei Zhang , Aiyi Liu

While attractive from a theoretical perspective, finely stratified experiments such as paired designs suffer from certain analytical limitations not present in block-randomized experiments with multiple treated and control individuals in…

Methodology · Statistics 2017-06-21 Colin B. Fogarty

Stepped-wedge designs are increasingly used in randomized experiments to accommodate logistical and ethical constraints by staggering treatment roll-out over time. Despite their popularity, existing analytical methods largely rely on…

Methodology · Statistics 2026-02-12 Liangbo Lyu , Bingkai Wang

Adaptive experiments are used extensively in online platforms, healthcare and biotechnology, and a variety of other settings. In many of these applications, the main goal is not to precisely estimate a treatment effect, but to demonstrate…

Statistics Theory · Mathematics 2026-03-10 Guido Imbens , Lorenzo Masoero , Alexander Rakhlin , Thomas S. Richardson , Suhas Vijaykumar

This paper focuses on the estimation of distributional treatment effects in randomized experiments that use covariate-adaptive randomization (CAR). These include designs such as Efron's biased-coin design and stratified block randomization,…

Econometrics · Economics 2025-06-09 Undral Byambadalai , Tomu Hirata , Tatsushi Oka , Shota Yasui

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

Reproducible translation of transcriptomics data has been hampered by the ubiquitous presence of batch effects. Statistical methods for managing batch effects were initially developed in the setting of sample group comparison and later…

Methodology · Statistics 2022-09-09 Ai Ni , Mengling Liu , Li-Xuan Qin

We consider the estimation of regression models on strata defined using a categorical covariate, in order to identify interactions between this categorical covariate and the other predictors. A basic approach requires the choice of a…

Statistics Theory · Mathematics 2016-11-09 Edouard Ollier , Vivian Viallon