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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)…

统计方法学 · 统计学 2020-04-28 Georg Zimmermann , Markus Pauly , Arne C. Bathke

A common goal in clinical trials is to conduct tests on estimated treatment effects adjusted for covariates such as age or sex. Analysis of Covariance (ANCOVA) is often used in these scenarios to test the global null hypothesis of no…

统计方法学 · 统计学 2024-04-24 Matthias Becher , Ludwig A. Hothorn , Frank Konietschke

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

We propose a simple modification to the wild bootstrap procedure and establish its asymptotic validity for linear regression models with many covariates and heteroskedastic errors. Monte Carlo simulations show that the modified wild…

计量经济学 · 经济学 2025-06-27 Wenze Li

In the analyses of cluster-randomized trials, mixed-model analysis of covariance (ANCOVA) is a standard approach for covariate adjustment and handling within-cluster correlations. However, when the normality, linearity, or the…

统计方法学 · 统计学 2023-10-10 Bingkai Wang , Michael O. Harhay , Jiaqi Tong , Dylan S. Small , Tim P. Morris , Fan Li

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

We introduce a unified approach to testing a variety of rather general null hypotheses that can be formulated in terms of covariances matrices. These include as special cases, for example, testing for equal variances, equal traces, or for…

统计理论 · 数学 2020-12-23 Paavo Sattler , Arne C. Bathke , Markus Pauly

Cross-validation is a widely used technique for evaluating the performance of prediction models, ranging from simple binary classification to complex precision medicine strategies. It helps correct for optimism bias in error estimates,…

We consider the issue of performing accurate small sample inference in beta autoregressive moving average model, which is useful for modeling and forecasting continuous variables that assumes values in the interval $(0,1)$. The inferences…

统计计算 · 统计学 2017-02-16 Bruna Gregory Palm , Fábio M. Bayer

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

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,…

应用统计 · 统计学 2017-12-06 Sarah Friedrich , Markus Pauly

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…

统计方法学 · 统计学 2024-12-24 Konstantin Emil Thiel , Paavo Sattler , Arne C Bathke , Georg Zimmermann

We propose a bootstrap-based test to detect a mean shift in a sequence of high-dimensional observations with unknown time-varying heteroscedasticity. The proposed test builds on the U-statistic based approach in Wang et al. (2022), targets…

统计方法学 · 统计学 2023-11-17 Teng Wu , Stanislav Volgushev , Xiaofeng Shao

With the violation of the assumption of homoskedasticity, least squares estimators of the variance become inefficient and statistical inference conducted with invalid standard errors leads to misleading rejection rates. Despite a vast…

计量经济学 · 经济学 2024-01-01 Annalivia Polselli

This paper studies the impact of bootstrap procedure on the eigenvalue distributions of the sample covariance matrix under a high-dimensional factor structure. We provide asymptotic distributions for the top eigenvalues of bootstrapped…

统计理论 · 数学 2023-11-21 Long Yu , Peng Zhao , Wang Zhou

The pseudo-observation method is regularly applied to time-to-event data. However, to date such analyses have relied on not formally verified statements or ad-hoc methods regarding covariance estimation. This paper strives to close this gap…

统计方法学 · 统计学 2026-01-23 Simon Mack , Morten Overgaard , Dennis Dobler

We investigate properties of a bootstrap-based methodology for testing hypotheses about equality of certain characteristics of the distributions between different populations in the context of functional data. The suggested testing…

统计理论 · 数学 2016-09-29 Efstathios Paparoditis , Theofanis Sapatinas

Correlation matrices are an essential tool for investigating the dependency structures of random vectors or comparing them. We introduce an approach for testing a variety of null hypotheses that can be formulated based upon the correlation…

统计理论 · 数学 2023-07-12 Paavo Sattler , Markus Pauly

First, we analyze the variance of the Cross Validation (CV)-based estimators used for estimating the performance of classification rules. Second, we propose a novel estimator to estimate this variance using the Influence Function (IF)…

机器学习 · 统计学 2021-11-10 Waleed A. Yousef

This paper provides an entire inference procedure for the autoregressive model under (conditional) heteroscedasticity of unknown form with a finite variance. We first establish the asymptotic normality of the weighted least absolute…

统计方法学 · 统计学 2018-08-10 Ke Zhu
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