(k-1)-mean significance levels of nonparametric multiple comparisons procedures

J.H. Oude Voshaar

    Research output: Book/ReportReportAcademic

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    Abstract

    We consider the nonparametric pairwise comparisons procedures derived from the Kruskal-Wallis test and from Friedman's test. For large samples the (k-1)-mean significance level is determined, i.e. the probability of concluding incorrectly that some of the first k-1 samples are unequal. We show that this probability may be larger than the simultaneous significance level \alpha. Even when the kth sample is a shift of the other k-1 samples, it may exceed \alpha, if the distributions are very skew. Here skewness is defined with Van Zwet's c-ordering of distribution functions.
    Original languageEnglish
    Place of PublicationEindhoven
    PublisherTechnische Hogeschool Eindhoven
    Number of pages18
    Publication statusPublished - 1978

    Publication series

    NameMemorandum COSOR
    Volume7813
    ISSN (Print)0926-4493

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