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arXiv · 2406.11892

Simultaneous comparisons of the variances of k treatments with that of a control: a Levene-Dunnett type procedure

Ludwig A. Hothorn
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Abstract

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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Ludwig A. Hothorn. 2024-06-14. Simultaneous comparisons of the variances of k treatments with that of a control: a Levene-Dunnett type procedure. https://arxiv.org/abs/2406.11892

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