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Pairwise comparisons for Levene-style variability parameters
Communications in Statistics - Simulation and Computation ( IF 0.9 ) Pub Date : 2021-03-17 , DOI: 10.1080/03610918.2021.1887230
Dennis D. Boos 1 , Kaiyuan Duan 1 , Xiaoni Liu 2
Affiliation  

Abstract

The simplest way to test for equality of scale in one-way data is to use the analysis of variance applied to absolute deviations from sample medians in place of the original data. This approach started by Levene (1960, using means instead of medians), appears in most statistical packages and is quite powerful for detecting heterogeneity of scale. However, researchers often want to know where the differences lie and some measure of effect for those differences. Here, the Closed Method of pairwise comparisons combined with F statistics on the absolute deviations is shown to be an excellent method for detecting differences. In addition, the Bonferroni method is combined with pairwise t-statistics to construct confidence intervals for pairwise differences in scale.



中文翻译:

Levene 型变异性参数的成对比较

摘要

测试单向数据中尺度相等性的最简单方法是使用应用于样本中位数绝对偏差的方差分析来代替原始数据。这种方法由 Levene(1960 年,使用平均值而不是中位数)开始,出现在大多数统计包中,并且对于检测规模的异质性非常有效。然而,研究人员通常想知道差异在哪里,以及对这些差异的一些影响衡量标准。在这里,成对比较的封闭方法与绝对偏差的F统计相结合被证明是检测差异的极好方法。此外,Bonferroni 方法与成对t统计相结合,以构建成对规模差异的置信区间。

更新日期:2021-03-17
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