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
刊名	JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION
	2010-06-01
卷号	105 期号:490 页码:578-587
关键词	Autism spectrum disorder Behrens-Fisher problem Cardioprotective solution Case-control studies Growth hormones Multiple outcomes Nonparametrics Rank-sum statistics
ISSN号	0162-1459
DOI	10.1198/jasa.2010.ap09114
英文摘要	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.
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
语种	英语
出版者	AMER STATISTICAL ASSOC
WOS记录号	WOS:000280216700011
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/9353]
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.