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Rerandomization, a design that utilizes pretreatment covariates and improves their balance between different treatment groups, has received attention recently in both theory and practice. From a survey by Bruhn and McKenzie (2009), there…

统计方法学 · 统计学 2025-09-17 Yuhao Wang , Xinran Li

Complete randomization balances covariates on average, but covariate imbalance often exists in finite samples. Rerandomization can ensure covariate balance in the realized experiment by discarding the undesired treatment assignments. Many…

统计方法学 · 统计学 2022-07-07 Xin Lu , Tianle Liu , Hanzhong Liu , Peng Ding

Randomization ensures that observed and unobserved covariates are balanced, on average. However, randomizing units to treatment and control often leads to covariate imbalances in realization, and such imbalances can inflate the variance of…

统计理论 · 数学 2020-02-11 Zach Branson , Stephane Shao

Randomized experiments are the "gold standard" for estimating causal effects, yet often in practice, chance imbalances exist in covariate distributions between treatment groups. If covariate data are available before units are exposed to…

统计理论 · 数学 2012-07-25 Kari Lock Morgan , Donald B. Rubin

Completely randomized experiments have been the gold standard for drawing causal inference because they can balance all potential confounding on average. However, they may suffer from unbalanced covariates for realized treatment…

统计理论 · 数学 2022-10-18 Yuhao Wang , Xinran Li

We introduce a new randomization procedure for experiments based on the cube method, which achieves near-exact covariate balance. This ensures compliance with standard balance tests and allows for balancing on many covariates, enabling more…

计量经济学 · 经济学 2025-07-21 Laurent Davezies , Guillaume Hollard , Pedro Vergara Merino

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…

统计方法学 · 统计学 2021-10-27 Xinhe Wang , Tingyu Wang , Hanzhong Liu

Rerandomization is a strategy of increasing efficiency as compared to complete randomization. The idea with rerandomization is that of removing allocations with imbalance in the observed covariates and then randomizing within the set of…

统计方法学 · 统计学 2019-11-07 Junni L. Zhang , Per Johansson

Mahalanobis distance between treatment group and control group covariate means is often adopted as a balance criterion when implementing a rerandomization strategy. However, this criterion may not work well for high-dimensional cases…

统计方法学 · 统计学 2021-02-25 Hengtao Zhang , Guosheng Yin , Donald B. Rubin

The split-plot design arises from agricultural sciences with experimental units, also known as subplots, nested within groups known as whole plots. It assigns the whole-plot intervention by a cluster randomization at the whole-plot level…

统计方法学 · 统计学 2022-09-27 Wenqi Shi , Anqi Zhao , Hanzhong Liu

We present an optimized rerandomization design procedure for a non-sequential treatment-control experiment. Randomized experiments are the gold standard for finding causal effects in nature. But sometimes random assignments result in…

统计方法学 · 统计学 2021-01-26 Adam Kapelner , Abba M. Krieger , Michael Sklar , David Azriel

Rerandomization is a modern experimental design technique that repeatedly randomizes treatment assignments until covariates are deemed balanced between treatment groups. This enhances the precision and coherence of causal effect estimators,…

统计方法学 · 统计学 2025-12-08 Antônio Carlos Herling Ribeiro Junior , Zach Branson

The seminal work of Morgan and Rubin (2012) considers rerandomization for all the units at one time. In practice, however, experimenters may have to rerandomize units sequentially. For example, a clinician studying a rare disease may be…

应用统计 · 统计学 2018-04-17 Quan Zhou , Philip Ernst , Kari Lock Morgan , Donald Rubin , Anru Zhang

Although complete randomization ensures covariate balance on average, the chance for observing significant differences between treatment and control covariate distributions increases with many covariates. Rerandomization discards…

统计理论 · 数学 2017-08-15 Xinran Li , Peng Ding , Donald B. Rubin

Rerandomization enforces covariate balance across treatment groups in the design stage of experiments. Despite its intuitive appeal, its theoretical justification remains unsatisfying because its benefits of improving efficiency for…

统计理论 · 数学 2025-05-05 Xin Lu , Peng Ding

Controlled experiments are widely used in many applications to investigate the causal relationship between input factors and experimental outcomes. A completely randomized design is usually used to randomly assign treatment levels to…

统计方法学 · 统计学 2026-05-12 Yiou Li , Lulu Kang , Xiao Huang

With many pretreatment covariates and treatment factors, the classical factorial experiment often fails to balance covariates across multiple factorial effects simultaneously. Therefore, it is intuitive to restrict the randomization of the…

统计理论 · 数学 2018-12-31 Xinran Li , Peng Ding , Donald B. Rubin

Classical randomized experiments, equipped with randomization-based inference, provide assumption-free inference for treatment effects. They have been the gold standard for drawing causal inference and provide excellent internal validity.…

统计方法学 · 统计学 2021-09-22 Zihao Yang , Tianyi Qu , Xinran Li

Modern social and biomedical scientific publications require the reporting of covariate balance tables with not only covariate means by treatment group but also the associated $p$-values from significance tests of their differences. The…

统计方法学 · 统计学 2023-06-06 Anqi Zhao , Peng Ding

Balancing covariates is critical for credible and efficient randomized experiments. Rerandomization addresses this by repeatedly generating treatment assignments until covariate balance meets a prespecified threshold. By shrinking this…

统计方法学 · 统计学 2026-02-10 Jiuyao Lu , Tianruo Zhang , Ke Zhu
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