A unified approach to rank tests for mixed models

DOI10.1016/S0378-3758(96)00177-2zbMath0872.62051OpenAlexW2024287690MaRDI QIDQ1362177

Michael G. Akritas, Edgar Brunner

Publication date: 13 October 1997

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0378-3758(96)00177-2

zbMATH Keywords

interactionsordered categorical datarepeated measuressemiparametric modelstiessimulation studyexamplesmixed modelordinal datamain effectsrank transformasymptotic distributions of quadratic forms of rank statisticsfactorial densignsrobust to outliers

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Asymptotic properties of nonparametric inference (62G20)

Related Items (42)

Wald-type rank tests: a GEE approach ⋮ Rank tests for patterned alternatives in two-way non-parametric analysis of variance ⋮ Midrank unification of rank tests for exact, tied, and censored data ⋮ Nonparametric models for clustered data: Application to root survival study ⋮ A wild bootstrap approach for nonparametric repeated measurements ⋮ Nonparametric models and methods for ANCOVA with dependent data ⋮ Nonparametric models and methods for designs with dependent censored data: Part II ⋮ Modeling Clustered Ordered Categorical Data: A Survey ⋮ Unnamed Item ⋮ Wild bootstrapping rank-based procedures: multiple testing in nonparametric factorial repeated measures designs ⋮ On analysis of binary response data in longitudinal factorial studies ⋮ ANOVA with binary variables: the F-test and some alternatives ⋮ Ranking procedures for matched pairs with missing data -- asymptotic theory and a small sample approximation ⋮ A Studentized permutation test for the nonparametric Behrens-Fisher problem in paired data ⋮ Moment-based multivariate permutation tests for ordinal categorical data ⋮ Choosing appropriate covariance matrices in a nonparametric analysis of factorials in block designs ⋮ Rank repeated measures analysis of covariance ⋮ Testing and estimation of purely nonparametric effects in repeated measures designs ⋮ Tests for patterned alternatives using logarithmic quantile estimation ⋮ Nonparametric multiple comparison procedures for unbalanced two-way layouts ⋮ Unnamed Item ⋮ Nonparametric methods in factorial designs ⋮ Analysis of variance in nonparametric regression models ⋮ Likelihood Ratio Type Statistics for Repeated Measures Designs with Heterogeneous Covariance Matrices ⋮ Nonparametric methods for clustered data in pre-post intervention design ⋮ Testing monotone effects of covariates in nonparametric mixed models ⋮ Testing Treatment-Covariate Interaction in a Nonparametric Analysis of Covariance Model ⋮ Nonparametric multiple contrast tests for general multivariate factorial designs ⋮ Nonparametric models for clustered data: Application to root survival study ⋮ Nonparametric models for clustered data: Application to root survival study ⋮ Nonparametric methods in multivariate factorial designs ⋮ Nonparametric Analysis of Ordered Categorical Data in Designs with Longitudinal Observations and Small Sample Sizes ⋮ Rank test for heteroscedastic functional data ⋮ Robust Small Sample Inference for Generalised Estimating Equations: An Application of the Anova-type Test ⋮ Nonparametric procedures for partially paired data in two groups ⋮ Nonparametric Models and Methods for Designs with Dependent Censored Data: Part I ⋮ A unified approach to nonparametric trend tests for dependent and independent samples ⋮ Rank methods for the analysis of clustered data in diagnostic trials ⋮ Nonparametric multiple comparison procedures for unbalanced one-way factorial designs ⋮ Rank-score tests in factorial designs with repeated measures ⋮ Linear rank score statistics when ties are present ⋮ A rank-based test for monotone trends in k-sample multivariate problems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Asymptotic distribution of rank statistics under dependencies with multivariate application
• Rank tests for the 2\(\times 2\) split plot design
• Rank transform statistics with censored data
• Rank statistics under dependent observations and applications to factorial designs
• Limitations of the rank transform procedure: A study of repeated measures designs. II
• Robustness of the Wilcoxon test to a certain dependency between samples
• Randomization Analysis of the Completely Randomized Design Extended to Growth and Response Curves
• Small-sample adjustments to tests with unbalanced repeated measures assuming several covariance structures
• Efficiencies of Interblock Rank Statistics for Repeated Measures Designs
• A Unified Approach to Rank Tests for Multivariate and Repeated Measures Designs
• The Rank Transform Method in Some Two-Factor Designs
• Efficacies of Rank-Transform Statistics in Two-Way Models with No Interaction
• Two — Sample Rank Tests in General Models
• RANK TESTS IN 2X2 DESIGNS
• Nonparametric Methods for Detecting Treatment Effects in Repeated-Measures Designs
• Rank Transformations as a Bridge Between Parametric and Nonparametric Statistics
• Rank Tests for correlated Random Variables
• Limitations of the Rank Transform Procedure: A Study of Repeated Measures Designs, Part I
• Fully Nonparametric Hypotheses for Factorial Designs I: Multivariate Repeated Measures Designs
• Approximate F-tests of multiple degree of freedom hypotheses in generalized least squares analyses of unbalanced split-plot experiments
• Nonparametric Methods for Stratified Two-Sample Designs with Application to Multiclinic Trials
• Some Aspects of the Statistical Analysis of "Split Plot" Experiments in Completely Randomized Layouts

This page was built for publication: A unified approach to rank tests for mixed models