Simultaneous comparisons of the variances of k treatments with that of a control: a Levene-Dunnett type procedure
arxiv(2024)
摘要
There are some global tests for heterogeneity of variance in k-sample one-way
layouts, but few consider pairwise comparisons between treatment levels. For
experimental designs with a control, comparisons of the variances between the
treatment levels and the control are of interest - in analogy to the location
parameter with the Dunnett (1955) procedure. Such a many-to-one approach for
variances is proposed using the Levene transformation, a kind of residuals. Its
properties are characterized with simulation studies and corresponding data
examples are evaluated with R code.
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