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.
翻译:针对k样本单因素设计的方差异质性存在若干全局性检验方法,但鲜有研究关注处理水平间的两两比较。对于包含对照组的实验设计,研究者常关注各处理水平与对照组之间的方差比较——这与位置参数分析中Dunnett(1955)方法的思路类似。本文基于Levene变换(一种残差处理技术)提出了方差的多对一比较方法。通过模拟研究揭示了该方法的统计特性,并借助R代码对相应数据案例进行了实证评估。