A Rank-Based Test for Comparison of Multidimensional Outcomes

doi:10.1198/jasa.2010.ap09114

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	A Rank-Based Test for Comparison of Multidimensional Outcomes
	Liu, Aiyi 1; Li, Qizhai2 ; Liu, Chunling 1; Yu, Kai ; Yu, Kai F.1,3
	2010-06-01
发表期刊	JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION
ISSN	0162-1459
卷号	105 期号:490 页码:578-587
摘要	For comparison of multiple outcomes commonly encountered in biomedical research, Huang et al. (2005) improved O'Brien's (1984) rank-sum tests through the replacement of the ad hoc variance by the asymptotic variance of the test statistics. The improved tests control the type I error rate at the desired level and gain power when the differences between the two comparison groups in each outcome variable lie in the same direction; however, they may lose power when the differences are in different directions (e.g., some are positive and some are negative). These tests and the popular Bonferroni correction failed to show important significant differences when applied to compare heart rates from a clinical trial to evaluate the effect of a procedure to remove the cardioprotective solution HTK. We propose an alternative test statistic, taking the maximum of the individual rank-sum statistics, which controls the type I error rate and maintains satisfactory power regardless of the direction of the differences. Simulation studies show the proposed test to be of higher power than other tests in a certain alternative parameter space of interest. Furthermore, when used to analyze the heart rate data, the proposed test yields more satisfactory results.
关键词	Autism spectrum disorder Behrens-Fisher problem Cardioprotective solution Case-control studies Growth hormones Multiple outcomes Nonparametrics Rank-sum statistics
DOI	10.1198/jasa.2010.ap09114
语种	英语
资助项目	Eunice Kennedy Shriver National Institute of Child Health and Human Development ; National Cancer Institute ; National Young Science Foundation of China[10901155]
WOS研究方向	Mathematics
WOS类目	Statistics & Probability
WOS记录号	WOS:000280216700011
出版者	AMER STATISTICAL ASSOC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/9354
专题	系统科学研究所
通讯作者	Liu, Aiyi
作者单位	1.Eunice Kennedy Shriver Natl Inst Child Hlth & Hum, Rockville, MD 20852 USA 2.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China 3.Natl Canc Inst, Rockville, MD 20852 USA
推荐引用方式 GB/T 7714	Liu, Aiyi,Li, Qizhai,Liu, Chunling,et al. A Rank-Based Test for Comparison of Multidimensional Outcomes[J]. JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION,2010,105(490):578-587.
APA	Liu, Aiyi,Li, Qizhai,Liu, Chunling,Yu, Kai,&Yu, Kai F..(2010).A Rank-Based Test for Comparison of Multidimensional Outcomes.JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION,105(490),578-587.
MLA	Liu, Aiyi,et al."A Rank-Based Test for Comparison of Multidimensional Outcomes".JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION 105.490(2010):578-587.