Neuhäuser Markus, Leuchs Ann-Kristin, Ball Dorothee
Department of Mathematics and Technology, RheinAhrCampus, Koblenz University of Applied Sciences, Remagen, Germany.
Biom J. 2011 May;53(3):525-34. doi: 10.1002/bimj.201000162.
Lepage's test combines the Wilcoxon rank-sum and the Ansari-Bradley statistics. We propose to replace the latter statistic by a Wilcoxon rank-sum calculated after Levene's transformation. We use the medians for this transformation, i.e. absolute deviations from sample medians are calculated. The new location-scale test can be carried out as a permutation test based on permutations of the original observations, the Levene transformation has to be applied for each permutation in an intermediate step to calculate the test statistic. Simulations indicate that the new test can be more powerful than an O'Brien-type test and Lepage's test, the latter is the standard nonparametric location-scale test. The new test is illustrated using real data about colony sizes of yellow-eyed penguins and an SAS program to perform the test is freely available.
勒佩奇检验结合了威尔科克森秩和统计量与安萨里 - 布拉德利统计量。我们建议用在莱文变换后计算的威尔科克森秩和统计量取代后者。我们使用中位数进行此变换，即计算相对于样本中位数的绝对偏差。新的位置 - 尺度检验可以作为基于原始观测值排列的置换检验来进行，在中间步骤中必须对每个排列应用莱文变换以计算检验统计量。模拟表明，新检验可能比奥布赖恩型检验和勒佩奇检验更具功效，后者是标准的非参数位置 - 尺度检验。使用关于黄眼企鹅群体大小的实际数据对新检验进行了说明，并且执行该检验的SAS程序可免费获取。
