文章基本信息

标题：A weighted rank-sum procedure for comparing samples with multiple endpoints
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作者：Qizhai Li ; Aiyi Liu ; Kai Yu 等
期刊名称：Statistics and Its Interface
印刷版ISSN：1938-7989
电子版ISSN：1938-7997
出版年度：2009
卷号：2
期号：2
页码：197-201
DOI：10.4310/SII.2009.v2.n2.a9
出版社：International Press
摘要：For comparing the distribution of two samples with multiple endpoints, O’Brien (1984) proposed rank-sum-type test statistics. Huang et al. (2005) extended these statistics to the general nonparametric Behrens-Fisher hypothesis problem and obtained improved test statistics by replacing the ad hoc variance with the asymptotic variance of the rank-sum statistics. In this paper we generalize the work of O’Brien (1984) and Huang et al. (2005) and propose a weighted ranksum statistic. We show that the weighted rank-sum statistic is asymptotically normally distributed, permitting the computation of power, p-values and confidence intervals.We further demonstrate via simulation that the weighted rank-sum statistic is efficient in controlling the type I error rate and under certain alternatives, is more powerful than the statistics of O’Brien (1984) and Huang et al. (2005).
关键词：asymptotic normality; Behrens-Fisher problem; case-control; clinical trials; multiple endpoints; rank-sum statistics; weights