Increasing the Power of the ANOVA F Test for Outlier-Prone Distributions by Modified Ranking Methods
Increasing the Power of the ANOVA F Test for Outlier-Prone Distributions by Modified Ranking Methods
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通过改进的排序方法提高异常值分布的方差分析 F 检验的功效
DOI：
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发表时间：
1995
期刊：
影响因子：
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通讯作者：
D. W. Zimmerman
中科院分区：
文献类型：
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作者：
D. W. Zimmerman
摘要模拟研究对来自两个抗离群密度、四个易离群密度和四个相同易离群密度的截断形式的样本进行方差分析（ANOVA）F检验。对样本值的等级和四次转换后的分数进行了重复测试，其中等级被一组较小的整数或包含随机成分的数字所取代。修改或“扭曲”的排名是无法区分的普通排名的概率I型和II型错误。截断离群倾向密度样本的F检验结果与原始离群倾向密度样本的秩检验结果基本相同。
Abstract A simulation study performed analysis of variance (ANOVA) F tests on samples from two outlier-resistant densities, four outlier-prone densities, and four truncated forms of the same outlier-prone densities. The tests were repeated on the ranks of the sample values and on scores resulting from four transformations, in which ranks were replaced by a smaller set of integers or by numbers that included a random component. Modified or “distorted” ranks were indistinguishable from ordinary ranks with respect to the probabilities of Type I and Type II errors. Outcomes of F tests on samples from truncated outlier-prone densities were essentially the same as those of rank tests on samples from the original outlier-prone densities.