A unified approach to simultaneous rank test procedures in the unbalanced one-way layout

Research output: Contribution to journalArticleResearchpeer review

Authors

  • Ullrich Munzel
  • Ludwig A. Hothorn

Research Organisations

External Research Organisations

  • Merz Pharma GmbH & Co. KGaA
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Details

Original languageEnglish
Pages (from-to)553-569
Number of pages17
JournalBiometrical journal
Volume43
Issue number5
Publication statusPublished - 28 Aug 2001

Abstract

A general nonparametric approach to asymptotic multiple test procedures is proposed which is based on relative effects and which includes continuous as well as discontinuous distributions. The results can be applied to all relevant multiple testing problems in the one-way layout and include the well known Steel tests as special cases. Moreover, a general estimator for the asymptotic covariance matrix is considered that is consistent even under alternative. This estimator is used to derive simultaneous confidence intervals for the relative effects as well as a test procedure for the multiple nonparametric Behrens-Fisher problem.

Keywords

    Behrens-Fisher problem, Multiple test procedure, Nonparametric, Simultaneous confidence intervals, Ties

ASJC Scopus subject areas

Cite this

A unified approach to simultaneous rank test procedures in the unbalanced one-way layout. / Munzel, Ullrich; Hothorn, Ludwig A.
In: Biometrical journal, Vol. 43, No. 5, 28.08.2001, p. 553-569.

Research output: Contribution to journalArticleResearchpeer review

Munzel U, Hothorn LA. A unified approach to simultaneous rank test procedures in the unbalanced one-way layout. Biometrical journal. 2001 Aug 28;43(5):553-569. doi: 10.1002/1521-4036(200109)43:5<553::AID-BIMJ553>3.0.CO;2-N
Munzel, Ullrich ; Hothorn, Ludwig A. / A unified approach to simultaneous rank test procedures in the unbalanced one-way layout. In: Biometrical journal. 2001 ; Vol. 43, No. 5. pp. 553-569.
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