Consistent ANOVA-type tests for various effect sizes
Methodology
2023-03-27 v1 Applications
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.
Cite
@article{arxiv.2303.13945,
title = {Consistent ANOVA-type tests for various effect sizes},
author = {Ludwig A. Hothorn},
journal= {arXiv preprint arXiv:2303.13945},
year = {2023}
}
Comments
9 figures, 2 tables