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Factorial designs are widely used in agriculture, engineering, and the social sciences to study the causal effects of several factors simultaneously on a response. The objective of such a design is to estimate all factorial effects of…

Methodology · Statistics 2015-11-09 Zach Branson , Tirthankar Dasgupta , Donald B. Rubin

The survey experiment is widely used in economics and social sciences to evaluate the effects of treatments or programs. In a standard population-based survey experiment, the experimenter randomly draws experimental units from a target…

Methodology · Statistics 2026-05-11 Pengfei Tian , Jiyang Ren , Yingying Ma

This paper introduces a kernel discrepancy-based framework for rerandomization to enhance the precision of causal inference in controlled experiments. We demonstrate that the kernel discrepancy is the key part of the variance upper bound…

Methodology · Statistics 2025-11-05 Yiou Li , Lulu Kang

Restricting randomization in the design of experiments (e.g., using blocking/stratification, pair-wise matching, or rerandomization) can improve the treatment-control balance on important covariates and therefore improve the estimation of…

Econometrics · Economics 2020-11-02 Brian Quistorff , Gentry Johnson

Balancing influential covariates is crucial for valid treatment comparisons in clinical studies. While covariate-adaptive randomization is commonly used to achieve balance, its performance can be inadequate when the number of baseline…

Methodology · Statistics 2024-12-30 Ziqing Guo , Yang Liu , Lucy Xia

Randomized trials balance all covariates on average and provide the gold standard for estimating treatment effects. Chance imbalances nevertheless exist more or less in realized treatment allocations and intrigue an important question: what…

Methodology · Statistics 2023-07-18 Anqi Zhao , Peng Ding

Re-randomization has gained popularity as a tool for experiment-based causal inference due to its superior covariate balance and statistical efficiency compared to classic randomized experiments. However, the basic re-randomization method,…

Methodology · Statistics 2023-09-20 Zhaoyang Liu , Tingxuan Han , Donald B. Rubin , Ke Deng

We study estimation and inference on causal parameters under finely stratified rerandomization designs, which use baseline covariates to match units into groups (e.g. matched pairs), then rerandomize within-group treatment assignments until…

Econometrics · Economics 2025-01-07 Max Cytrynbaum

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

We consider the problem of how to assign treatment in a randomized experiment, in which the correlation among the outcomes is informed by a network available pre-intervention. Working within the potential outcome causal framework, we…

Methodology · Statistics 2017-05-19 Guillaume W. Basse , Edoardo M. Airoldi

The first step towards investigating the effectiveness of a treatment via a randomized trial is to split the population into control and treatment groups then compare the average response of the treatment group receiving the treatment to…

Econometrics · Economics 2022-08-30 Hossein Babaei , Sina Alemohammad , Richard Baraniuk

Although complete randomization is widely regarded as the gold standard for causal inference, covariate imbalance can still arise by chance in finite samples. Rerandomization has emerged as an effective tool to improve covariate balance…

Methodology · Statistics 2026-01-21 Tingxuan Han , Yuhao Wang

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

Randomized experiments are a crucial tool for causal inference in many different fields. Rerandomization addresses any covariate imbalance in such experiments by resampling treatment assignments until certain balance criteria are satisfied.…

Methodology · Statistics 2025-05-27 Jiuyao Lu , Daogao Liu , Zhanran Lin , Xiaomeng Wang

Randomized controlled trials are susceptible to imbalance on covariates predictive of the outcome. Rerandomization and deterministic treatment assignment are two proposed solutions. This paper explores the relationship between…

Methodology · Statistics 2023-10-03 Connor T. Jerzak , Rebecca Goldstein

Achieving covariate balance in randomized experiments enhances the precision of treatment effect estimation. However, existing methods often require heuristic adjustments based on domain knowledge and are primarily developed for binary…

Methodology · Statistics 2025-02-25 Wenxuan Guo , Tengyuan Liang , Panos Toulis

We study optimal sample allocation between treatment and control groups under Bayesian linear models. We derive an analytic expression for the Bayes risk, which depends jointly on sample size and covariate mean balance across groups. Under…

Statistics Theory · Mathematics 2025-09-03 André A. F. Fumis , Victor Fossaluza , Rafael B. Stern

Rerandomization utilizes modern computing ability to improve covariate balance while adhering to the randomization principle originally advocated by RA Fisher. Affinely invariant rerandomization has the ``Equal Percent Variance Reducing''…

Methodology · Statistics 2025-04-03 Zhen Zhong , Donald B. Rubin

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

In the past decade, various exact balancing-based weighting methods were introduced to the causal inference literature. Exact balancing alleviates the extreme weight and model misspecification issues that may incur when one implements…

Methodology · Statistics 2024-04-30 Yimin Dai , Ying Yan