Rank-based multiple test procedures and simultaneous confidence intervals

DOI10.1214/12-EJS691zbMath1334.62083MaRDI QIDQ1950838

Frank Konietschke, Edgar Brunner, Ludwig A. Hothorn

Publication date: 28 May 2013

Published in: Electronic Journal of Statistics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ejs/1336049813

zbMATH Keywords

multiple comparisonsrank statisticsnonparametric Behrens-Fisher problem

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Nonparametric tolerance and confidence regions (62G15) Paired and multiple comparisons; multiple testing (62J15)

Related Items (16)

The two-step approach—a significant ANOVA F-test before Dunnett's comparisons against a control—is not recommended ⋮ Generalized Mann-Whitney Type Tests for Microarray Experiments ⋮ Bootstrap- and permutation-based inference for the Mann-Whitney effect for right-censored and tied data ⋮ Testing in nonparametric ANCOVA model based on ridit reliability functional ⋮ Wild bootstrapping rank-based procedures: multiple testing in nonparametric factorial repeated measures designs ⋮ Ranks and Pseudo‐ranks—Surprising Results of Certain Rank Tests in Unbalanced Designs ⋮ Nonparametric homogeneity test based on ridit reliability functional ⋮ Simultaneous inference for partial areas under receiver operating curves -- with a view towards efficiency ⋮ Assessing Equality of Means Using the Overlap of Range-Preserving Confidence Intervals ⋮ Analysis of means: a generalized approach using R ⋮ Multiple comparisons for multiple endpoints in agricultural experiments ⋮ A Levene-type test of homogeneity of variances against ordered alternatives ⋮ Nonparametric multiple contrast tests for general multivariate factorial designs ⋮ Simultaneous inference for Kendall's tau ⋮ Simultaneous inference based on rank statistics in linear models ⋮ Nonparametric MANOVA in meaningful effects

Uses Software

• R
• SAS
• multcomp
• bootstrap
• KW_MC

Cites Work

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• A modification of the kruskal-wallis statistic for the generalized behrens-fisher problem
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• Nonparametric Hypotheses and Rank Statistics for Unbalanced Factorial Designs
• Box-Type Approximations in Nonparametric Factorial Designs
• Kruskal–Wallis, Multiple Comparisons and Efron Dice
• Simultaneous Test Procedures--Some Theory of Multiple Comparisons
• Asymptotic Efficiency of a Class of $c$-Sample Tests
• A Unified Nonparametric Approach for Unbalanced Factorial Designs
• Some Theorems on Quadratic Forms Applied in the Study of Analysis of Variance Problems, I. Effect of Inequality of Variance in the One-Way Classification
• Nonparametric methods in factorial designs

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