EFFECT OF WITHIN-SAMPLE DEPENDENCE ON THE MANN-WHITNEY-WILCOXON STATISTIC
成果类型：
Article
署名作者：
PETTITT, AN; SISKIND, V
署名单位：
University of Queensland; University of Queensland
刊物名称：
BIOMETRIKA
ISSN/ISSBN：
0006-3444
DOI：
10.2307/2335590
发表日期：
1981
页码：
437441
关键词：
摘要：
Motivated by a problem involving correlation due to genetic relationships within a sample, [the R1R1 relatives of an Rh-null individual (Race and Sanger, 1975) were to be compared with a random sample of unrelated R1R1 blood donors with respect to the levels of certain antigens] the effect of within-sample dependence and between-sample independence on the variance of the Mann-Whitney-Wilcoxon statistic, given that the marginal distributions are identical in each sample, was investigated. The dependence increases the variance of the statistic by a factor equal in order to the combined sample size when 3 specified joint marginal distributions are chosen. The results for the 2-sample statistic are extended to the mean of the Kruskal-Wallis statistic, when between-sample independence and within-sample dependence are assumed. The effect is similar in this case in that the mean of the statistic is increased by a factor of the same order as the sample size. A numerical example is given.