  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.
