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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…

Statistics Theory · Mathematics 2018-12-31 Xinran Li , Peng Ding , Donald B. Rubin

Randomized experiments have been the gold standard for assessing the effectiveness of a treatment or policy. The classical complete randomization approach assigns treatments based on a prespecified probability and may lead to inefficient…

Methodology · Statistics 2023-10-26 Waverly Wei , Xinwei Ma , Jingshen Wang

Randomization testing is a fundamental method in statistics, enabling inferential tasks such as testing for (conditional) independence of random variables, constructing confidence intervals in semiparametric location models, and…

Methodology · Statistics 2023-03-21 Yash Nair , Lucas Janson

Non-parametric tests based on permutation, rotation or sign-flipping are examples of group-invariance tests. These tests test invariance of the null distribution under a set of transformations that has a group structure, in the algebraic…

Methodology · Statistics 2022-11-23 Nick W. Koning , Jesse Hemerik

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…

Statistics Theory · Mathematics 2012-07-25 Kari Lock Morgan , Donald B. Rubin

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,…

Methodology · Statistics 2025-12-08 Antônio Carlos Herling Ribeiro Junior , Zach Branson

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

Applied researchers are increasingly interested in whether and how treatment effects vary in randomized evaluations, especially variation not explained by observed covariates. We propose a model-free approach for testing for the presence of…

Methodology · Statistics 2014-12-17 Peng Ding , Avi Feller , Luke Miratrix

We extend Fisher's randomization test (FRT) to test conditional independence between observed outcomes and treatments given covariates in both randomized experiments and observational studies, with no restriction on the variable type of…

Methodology · Statistics 2025-06-12 Zhen Zhong

Throughout the last decade, random forests have established themselves as among the most accurate and popular supervised learning methods. While their black-box nature has made their mathematical analysis difficult, recent work has…

Methodology · Statistics 2019-12-10 Tim Coleman , Wei Peng , Lucas Mentch

Permutation testing in linear models, where the number of nuisance coefficients is smaller than the sample size, is a well-studied topic. The common approach of such tests is to permute residuals after regressing on the nuisance covariates.…

Methodology · Statistics 2020-10-09 Jesse Hemerik , Magne Thoresen , Livio Finos

Recent observations, especially in cancer immunotherapy clinical trials with time-to-event outcomes, show that the commonly used proportial hazard assumption is often not justifiable, hampering an appropriate analyse of the data by hazard…

Methodology · Statistics 2021-02-23 Marc Ditzhaus , Menggang Yu , Jin Xu

Often the question arises whether $Y$ can be predicted based on $X$ using a certain model. Especially for highly flexible models such as neural networks one may ask whether a seemingly good prediction is actually better than fitting pure…

Methodology · Statistics 2024-04-30 Michał Ciszewski , Jakob Söhl , Ton Leenen , Bart van Trigt , Geurt Jongbloed

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

We consider a permutation method for testing whether observations given in their natural pairing exhibit an unusual level of similarity in situations where any two observations may be similar at some unknown baseline level. Under a null…

Statistics Theory · Mathematics 2007-06-13 Larry Goldstein , Yosef Rinott

In randomized experiments with noncompliance, tests may focus on compliers rather than on the overall sample. Rubin (1998) put forth such a method, and argued that testing for the complier average causal effect and averaging permutation…

Methodology · Statistics 2016-02-23 Laura Forastiere , Fabrizia Mealli , Luke Miratrix

Given observations from a stationary time series, permutation tests allow one to construct exactly level $\alpha$ tests under the null hypothesis of an i.i.d. (or, more generally, exchangeable) distribution. On the other hand, when the null…

Statistics Theory · Mathematics 2020-09-09 Joseph P. Romano , Marius A. Tirlea

In experiments that study social phenomena, such as peer influence or herd immunity, the treatment of one unit may influence the outcomes of others. Such "interference between units" violates traditional approaches for causal inference, so…

Methodology · Statistics 2023-08-30 David Choi

Tests for paired censored outcomes have been extensively studied, with some justified in the context of randomization-based inference. These tests are primarily designed to detect an overall treatment effect across the entire follow-up…

Methodology · Statistics 2025-06-10 Sangjin Lee , Kwonsang Lee

In qualitative statistics, permutation tests are very popular, mainly because of their finite-sample exactness under exchangeability. However, in non-exchangeable settings, the covariance structure of permuted statistics typically differs…

Methodology · Statistics 2026-04-09 Merle Munko , Paavo Sattler