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On the use of Spearman's correlation coefficient for testing ordered alternatives

机译:关于使用Spearman相关系数测试有序替代方案

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摘要

This paper proposes a nonparametric test for detecting ordered alternatives in a completely randomized design. In short, the test statistic is the sum of all possible Spearman correlation coefficients calculated across all samples simultaneously. The exact mean and variance of the null distribution are derived and it is shown that this distribution is asymptotically normal. Furthermore, a small sample simulation study which compares the proposed test to some existing tests is presented. The results of the study indicate that the proposed test is more powerful for certain combinations of sample sizes, location configurations, and population distributions. In addition, an actual data set is analysed.
机译:本文提出了一种非参数检验,用于检测完全随机设计中的有序替代方案。简而言之,检验统计量是对所有样本同时计算出的所有可能的Spearman相关系数的总和。推导出零分布的精确均值和方差,并且表明该分布是渐近正态的。此外,还提供了一个小样本模拟研究,将拟议的测试与一些现有测试进行了比较。研究结果表明,对于样本量,位置配置和人口分布的某些组合,建议的测试功能更强大。另外,分析实际数据集。

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