Robust Rank Procedures for the Behrens-Fisher Problem
针对两个总体中位数相等性检验问题,提出一种修正方法,使标准无分布检验在总体形状不同时仍能保持名义显著性水平,并以曼-惠特尼-威尔科克森统计量为例演示。
The problem of testing for equality of the medians of two populations is considered. The standard distribution-free tests for this problem require that the two populations have the same shape to maintain their nominal significance level under the null hypothesis. A method is given to modify many of these tests so they can be used to test for equality of the medians with fewer assumptions on the shapes of the two populations. The method is demonstrated using the Mann-Whitney-Wilcoxon statistic.