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A comparative study of robust tests for spread: asymmetric trimming strategies.
British Journal of Mathematical and Statistical Psychology ( IF 2.6 ) Pub Date : 2008-04-25 , DOI: 10.1348/000711008x299742
H J Keselman 1 , Rand R Wilcox , James Algina , Abdul R Othman , Katherine Fradette
Affiliation  

We examined 633 procedures that can be used to compare the variability of scores across independent groups. The procedures, except for one, were modifications of the procedures suggested by Levene (1960) and O'Brien (1981). We modified their procedures by substituting robust measures of the typical score and variability, rather than relying on classical estimators. The robust measures that we utilized were either based on a priori or empirically determined symmetric or asymmetric trimming strategies. The Levene-type and O'Brien-type transformed scores were used with either the ANOVA F test, a robust test due to Lee and Fung (1985), or the Welch (1951) test. Based on four measures of robustness, we recommend a Levene-type transformation based upon empirically determined 20% asymmetric trimmed means, involving a particular adaptive estimator, where the transformed scores are then used with the ANOVA F test.

中文翻译:

扩展健壮测试的比较研究:不对称修整策略。

我们检查了633个可用于比较独立组之间得分变异性的程序。除一个程序外,这些程序是对Levene(1960)和O'Brien(1981)建议的程序的修改。我们通过替代典型得分和变异性的有效度量方法来改进他们的程序,而不是依靠经典估计量。我们采用的鲁棒性度量是基于先验或经验确定的对称或不对称修整策略。Levene型和O'Brien型转换得分与ANOVA F检验,因Lee和Fung(1985)进行的稳健检验或Welch(1951)检验一起使用。基于四种鲁棒性度量,我们建议基于经验确定的20%不对称修整均值的Levene型变换,其中涉及特定的自适应估计量,
更新日期:2019-11-01
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