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arXiv · 2303.13945

Consistent ANOVA-type tests for various effect sizes

Ludwig A. Hothorn
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Abstract

Analysis of variance (ANOVA) reveals some disadvantages, such as non-robustness against heteroscedastic or non-normal errors and using difference to overall mean as effect sizes only. As an alternative the multiple contrast test comparing to the overall mean is proposed for 7 effect sizes: ratio-to-OM, quantiles for both ratio or differences, odds ratios for continuous data, odds ratio for proportions, risk ratio/differences, relative effect size for continuous up to discrete data, and hazard ratio. Using CRAN packages the related analysis is simple.

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Ludwig A. Hothorn. 2023-03-24. Consistent ANOVA-type tests for various effect sizes. https://arxiv.org/abs/2303.13945

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