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The statistical efficiency of randomized clinical trials can be improved by incorporating information from baseline covariates (i.e., pre-treatment patient characteristics). This can be done in the design stage using stratified (permutated…

Methodology · Statistics 2025-02-04 Zhiwei Zhang

Conditional independence tests are crucial across various disciplines in determining the independence of an outcome variable $Y$ from a treatment variable $X$, conditioning on a set of confounders $Z$. The Conditional Randomization Test…

Methodology · Statistics 2024-05-30 Bowen Xu , Yiwen Huang , Chuan Hong , Shuangning Li , Molei Liu

Standard tests of the "no-treatment-effect" hypothesis for a comparative experiment include permutation tests, the Wilcoxon rank sum test, two-sample $t$ tests, and Fisher-type randomization tests. Practitioners are aware that these…

Methodology · Statistics 2015-09-11 Joseph B. Lang

Covariate-adaptive randomization (CAR) procedures are frequently used in comparative studies to increase the covariate balance across treatment groups. However, because randomization inevitably uses the covariate information when forming…

Statistics Theory · Mathematics 2022-07-08 Wei Ma , Yichen Qin , Yang Li , Feifang Hu

Measuring the effect of peers on individuals' outcomes is a challenging problem, in part because individuals often select peers who are similar in both observable and unobservable ways. Group formation experiments avoid this problem by…

Methodology · Statistics 2023-03-09 Guillaume Basse , Peng Ding , Avi Feller , Panos Toulis

We introduce a new test for conditional independence which is based on what we call the weighted generalised covariance measure (WGCM). It is an extension of the recently introduced generalised covariance measure (GCM). To test the null…

Methodology · Statistics 2022-05-17 Cyrill Scheidegger , Julia Hörrmann , Peter Bühlmann

We consider the problem of testing whether pairs of univariate random variables are associated. Few tests of independence exist that are consistent against all dependent alternatives and are distribution free. We propose novel tests that…

Methodology · Statistics 2014-12-09 Ruth Heller , Yair Heller , Shachar Kaufman , Malka Gorfine

We present a general nonparametric approach for testing whether a statistical parameter defined through conditional distributions is constant across the conditioning variables. Such hypotheses arise naturally in problems such as assessing…

Methodology · Statistics 2026-04-23 Albert Osom , Ali Shojaie , Aaron Hudson

When analyzing data from randomized clinical trials, covariate adjustment can be used to account for chance imbalance in baseline covariates and to increase precision of the treatment effect estimate. A practical barrier to covariate…

Methodology · Statistics 2023-07-04 Chia-Rui Chang , Yue Song , Fan Li , Rui Wang

This paper proposes new tests of conditional independence of two random variables given a single-index involving an unknown finite-dimensional parameter. The tests employ Rosenblatt transforms and are shown to be distribution-free while…

Statistics Theory · Mathematics 2009-11-20 Kyungchul Song

We propose new tests for assessing whether covariates in a treatment group and matched control group are balanced in observational studies. The tests exhibit high power under a wide range of multivariate alternatives, some of which existing…

Methodology · Statistics 2019-02-28 Hao Chen , Dylan S. Small

Tests for proportional hazards assumption concerning specified covariates or groups of covariates are proposed. The class of alternatives is wide: log-hazard rates under different values of covariates may cross, approach, go away. The data…

Statistics Theory · Mathematics 2020-01-20 Vilijandas Bagdonavičius , Rūta Levulienė

The purpose of this paper is to investigate and develop methods for analysis of multi-center randomized clinical trials which only rely on the randomization process as a basis of inference. Our motivation is prompted by the fact that most…

Applications · Statistics 2008-07-28 Lu Zheng , Marvin Zelen

In conditional copula models, the copula parameter is deterministically linked to a covariate via the calibration function. The latter is of central interest for inference and is usually estimated nonparametrically. However, when a…

Methodology · Statistics 2014-03-19 Elif F. Acar , Radu V. Craiu , Fang Yao

One central goal of design of observational studies is to embed non-experimental data into an approximate randomized controlled trial using statistical matching. Despite empirical researchers' best intention and effort to create…

Methodology · Statistics 2022-06-22 Kan Chen , Siyu Heng , Qi Long , Bo Zhang

Covariate-adaptive randomization is widely used in clinical trials to balance prognostic factors, and regression adjustments are often adopted to further enhance the estimation and inference efficiency. In practice, the covariates may…

Methodology · Statistics 2025-08-15 Wanjia Fu , Yingying Ma , Hanzhong Liu

This paper studies inference in randomized controlled trials with covariate-adaptive randomization when there are multiple treatments. More specifically, we study inference about the average effect of one or more treatments relative to…

Econometrics · Economics 2019-01-21 Federico A. Bugni , Ivan A. Canay , Azeem M. Shaikh

Covariate adaptive randomization (CAR) procedures are extensively used to reduce the likelihood of covariate imbalances occurring in clinical trials. In literatures, a lot of CAR procedures have been proposed so that the specified…

Statistics Theory · Mathematics 2026-03-10 Zhang Li-Xin

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

This article studies the benefits of using spatially randomized experimental designs which partition the experimental area into distinct, non-overlapping units with treatments assigned randomly. Such designs offer improved policy evaluation…

Statistics Theory · Mathematics 2025-11-18 Ying Yang , Chengchun Shi , Fang Yao , Shouyang Wang , Hongtu Zhu
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