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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

Permutation tests are a distribution free way of performing hypothesis tests. These tests rely on the condition that the observed data are exchangeable among the groups being tested under the null hypothesis. This assumption is easily…

Methodology · Statistics 2017-12-14 Daniell Toth

Permutation tests are a powerful and flexible approach to inference via resampling. As computational methods become more ubiquitous in the statistics curriculum, use of permutation tests has become more tractable. At the heart of the…

Methodology · Statistics 2025-06-09 Johanna Hardin , Lauren Quesada , Julie Ye , Nicholas J. Horton

Analysis of covariance is a crucial method for improving precision of statistical tests for factor effects in randomized experiments. However, existing solutions suffer from one or more of the following limitations: (i) they are not…

Methodology · Statistics 2024-12-24 Konstantin Emil Thiel , Paavo Sattler , Arne C Bathke , Georg Zimmermann

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…

Methodology · Statistics 2018-05-04 Yongqiang Tang

In applied research, it is often sensible to account for one or several covariates when testing for differences between multivariate means of several groups. However, the "classical" parametric multivariate analysis of covariance (MANCOVA)…

Methodology · Statistics 2020-04-28 Georg Zimmermann , Markus Pauly , Arne C. Bathke

Statistical hypothesis testing and effect size measurement are routine parts of quantitative research. Advancements in computer processing power have greatly improved the capability of statistical inference through the availability of…

Methodology · Statistics 2024-01-18 Michael J. Crosse , John J. Foxe , Sophie Molholm

Multivariate meta-analysis is gaining prominence in evidence synthesis research because it enables simultaneous synthesis of multiple correlated outcome data, and random-effects models have generally been used for addressing between-studies…

Methodology · Statistics 2021-07-14 Hisashi Noma , Kengo Nagashima , Toshi A. Furukawa

The limitation of permutation tests is that they assume exchangeability. It is shown that in generalized linear models one can construct permutation tests from score statistics in particular cases. When under the null hypothesis the…

Methodology · Statistics 2010-03-05 Daniel Commenges

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

Multivariate regression models and ANOVA are probably the most frequently applied methods of all statistical analyses. We study the case where the predictors are qualitative variables, and the response variable is quantitative. In this…

Applications · Statistics 2021-05-04 Abraham Gutierrez , Sebastian Müller

In many psychometric applications, the relationship between the mean of an outcome and a quantitative covariate is too complex to be described by simple parametric functions; instead, flexible nonlinear relationships can be incorporated…

Methodology · Statistics 2023-02-28 Boyu Ren , Stuart R. Lipsitz , Garrett M. Fitzmaurice , Roger D. Weiss

Neural networks are powerful predictive models, but they provide little insight into the nature of relationships between predictors and outcomes. Although numerous methods have been proposed to quantify the relative contributions of input…

Methodology · Statistics 2023-01-30 Francesca Mandel , Ian Barnett

It is common to conduct causal inference in matched observational studies by proceeding as though treatment assignments within matched sets are assigned uniformly at random and using this distribution as the basis for inference. This…

Methodology · Statistics 2023-11-14 Samuel D. Pimentel , Yaxuan Huang

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…

Methodology · Statistics 2016-09-06 Yi-Hui Zhou

This paper studies permutation tests for regression parameters in a time series setting, where the time series is assumed stationary but may exhibit an arbitrary (but weak) dependence structure. In such a setting, it is perhaps surprising…

Statistics Theory · Mathematics 2024-04-11 Joseph P. Romano , Marius A. Tirlea

For some variants of regression models, including partial, measurement error or error-in-variables, latent effects, semi-parametric and otherwise corrupted linear models, the classical parametric tests generally do not perform well. Various…

Statistics Theory · Mathematics 2015-03-25 Pranab K. Sen , Jana Jureckova , Jan Picek

In many experiments in the life sciences, several endpoints are recorded per subject. The analysis of such multivariate data is usually based on MANOVA models assuming multivariate normality and covariance homogeneity. These assumptions,…

Applications · Statistics 2017-12-06 Sarah Friedrich , Markus Pauly

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…

Applications · Statistics 2009-07-27 Elvan Ceyhan , Carla L. Goad

We propose the density ratio permutation test, a hypothesis test that assesses whether the ratio between two densities is proportional to a known function based on independent samples from each distribution. The test uses an efficient…

Methodology · Statistics 2026-01-14 Alberto Bordino , Thomas B. Berrett
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