Comparison of Several Independent Population Means When Their Samples Contain Log‐Normal and Possibly Zero Observations
Comparison of Several Independent Population Means When Their Samples Contain Log‐Normal and Possibly Zero Observations
复制标题
当样本包含对数正态观测值和可能为零的观测值时，几种独立总体均值的比较
作者：
Zhou Xiao‐Hua;W. Tu
总结。在本文中，我们考虑了含有对数正态且可能为零的几个独立总体的平均相等性检验问题。我们首先证明了目前在统计实践中使用的方法，包括非参数Kruskal-Wallis检验、标准ANOVA F-检验及其两个修正版本--Welch检验和Brown-Forsythe检验--可能具有较差的I型误差控制。然后，我们提出了一种似然比检验，它比现有的方法具有更好的第I类差错控制。最后，我们使用所提出的测试分析了激励我们研究的两个真实数据集。
Summary. In this paper, we consider the problem of testing the mean equality of several independent populations that contain log‐normal and possibly zero observations. We first showed that the currently used methods in statistical practice, including the nonparametric Kruskal–Wallis test, the standard ANOVA F‐test and its two modified versions, the Welch test and the Brown–Forsythe test, could have poor Type I error control. Then we propose a likelihood ratio test that is shown to have much better Type I error control than the existing methods. Finally, we analyze two real data sets that motivated our study using the proposed test.
影响因子：
1.9
作者：
Zhou, XH;Gao, SJ;Hui, SL
通讯作者：
Hui, SL