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When testing for superiority in a parallel-group setting with a continuous outcome, adjusting for covariates (e.g., baseline measurements) is usually recommended, in order to reduce bias and increase power. For this purpose, the analysis of…

统计方法学 · 统计学 2020-04-28 Georg Zimmermann , Meinhard Kieser , Arne Bathke

Hypothesis tests based on linear models are widely accepted by organizations that regulate clinical trials. These tests are derived using strong assumptions about the data-generating process so that the resulting inference can be based on…

应用统计 · 统计学 2018-09-13 Kellie Ottoboni , Fraser Lewis , Luigi Salmaso

In randomized controlled trials, covariate adjustment can improve statistical power and reduce the required sample size compared with unadjusted estimators. Several regulatory agencies have released guidance on covariate adjustment, which…

统计方法学 · 统计学 2025-08-27 Takumi Kanata , Yasuhiro Hagiwara , Koji Oba

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.…

统计理论 · 数学 2020-01-03 Xinran Li , Peng Ding

Determining the relevant spatial covariates is one of the most important problems in the analysis of point patterns. Parametric methods may lead to incorrect conclusions, especially when the model of interactions between points is wrong.…

统计方法学 · 统计学 2022-10-12 Jiří Dvořák , Tomáš Mrkvička

A noniterative sample size procedure is proposed for a general hypothesis test based on the t distribution by modifying and extending Guenther's (1981) approach for the one sample and two sample t tests. The generalized procedure is…

统计方法学 · 统计学 2018-05-04 Yongqiang Tang

Covariate adjustment is an important tool in the analysis of randomized clinical trials and observational studies. It can be used to increase efficiency and thus power, and to reduce possible bias. While most statistical tests in randomized…

统计方法学 · 统计学 2011-08-03 Xiaoru Wu , Zhiliang Ying

The problem of testing changes in covariance has received increasing attention in recent years, especially in the context of high-dimensional testing. A number of approaches have been proposed, all limited to the two-sample problem and…

统计方法学 · 统计学 2016-09-06 Yi-Hui Zhou

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…

统计方法学 · 统计学 2023-03-21 Yash Nair , Lucas Janson

Reliable inference for spatial regression remains challenging because it requires the correct specification of the spatial dependence structure, the mean trend, and the error distribution. Existing parametric testing methods rely on…

统计方法学 · 统计学 2026-05-12 Kanghyun Wi , Hyoeun Kim , Tomáš Mrkvička , Jorge Mateu , Jaewoo Park

Various methods to control the influence of a covariate on a response variable are compared. In particular, ANOVA with or without homogeneity of variances (HOV) of errors and Kruskal-Wallis (K-W) tests on covariate-adjusted residuals and…

应用统计 · 统计学 2009-07-27 Elvan Ceyhan , Carla L. Goad

This paper examines the problem of nonparametric testing for the no-effect of a random covariate (or predictor) on a functional response. This means testing whether the conditional expectation of the response given the covariate is almost…

统计理论 · 数学 2014-11-25 Valentin Patilea , Cesar Sanchez-Sellero , Matthieu Saumard

Testing for the significance of a subset of regression coefficients in a linear model, a staple of statistical analysis, goes back at least to the work of Fisher who introduced the analysis of variance (ANOVA). We study this problem under…

统计理论 · 数学 2012-02-24 Ery Arias-Castro , Emmanuel J. Candès , Yaniv Plan

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

Covariate adjustment can improve precision in analyzing randomized experiments. With fully observed data, regression adjustment and propensity score weighting are asymptotically equivalent in improving efficiency over unadjusted analysis.…

统计方法学 · 统计学 2024-03-06 Anqi Zhao , Peng Ding , Fan Li

Multivariate analysis of variance (MANOVA) is a powerful and versatile method to infer and quantify main and interaction effects in metric multivariate multi-factor data. It is, however, neither robust against change in units nor a…

统计理论 · 数学 2018-02-13 Dennis Dobler , Sarah Friedrich , Markus Pauly

Let X be a d dimensional vector of covariates and Y be the response variable. Under the nonparametric model Y = m(X) + {\sigma}(X) \in we develop an ANOVA-type test for the null hypothesis that a particular coordinate of X has no influence…

统计方法学 · 统计学 2012-05-31 Adriano Zanin Zambom , Michael Akritas

A dimension reduction-based adaptive-to-model test is proposed for significance of a subset of covariates in the context of a nonparametric regression model. Unlike existing local smoothing significance tests, the new test behaves like a…

统计方法学 · 统计学 2016-11-06 Xuehu Zhu , Lixing Zhu

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…

统计理论 · 数学 2021-01-01 Lihua Lei , Peng Ding

Background: Subgroup analyses are frequently conducted in randomized clinical trials to assess evidence of heterogeneous treatment effect across patient subpopulations. Although randomization balances covariates within subgroups in…

统计方法学 · 统计学 2021-05-27 Siyun Yang , Fan Li , Laine E. Thomas , Fan Li
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