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

Fuente: arXiv
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Main Author: Hothorn, Ludwig A.
Format: Preprint
Published: 2024
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author Hothorn, Ludwig A.
author_facet Hothorn, Ludwig A.
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2406_11892
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Simultaneous comparisons of the variances of k treatments with that of a control: a Levene-Dunnett type procedure
Hothorn, Ludwig A.
Methodology
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.
title Simultaneous comparisons of the variances of k treatments with that of a control: a Levene-Dunnett type procedure
topic Methodology
url https://arxiv.org/abs/2406.11892