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.
翻译:方差分析(ANOVA)存在一些局限性,例如对方差非齐性或非正态误差缺乏稳健性,且仅以与总体均值的差值作为效应量。作为替代方案,本文提出了一种与总体均值比较的多重对比检验,适用于7种效应量:与总体均值的比率、比率或差值的分位数、连续数据的比值比、比例的比值比、风险比/差值、从连续到离散数据的相对效应量,以及风险比。利用CRAN相关软件包,可简便地执行此类分析。