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	General solutions to consistency problems in multiple hypothesis testing
	Zhao, Haibing2; Wang, Bushi1; Cui, Xinping1
	2010-12
关键词	Closure principle Coherence Consonance Multiple tests Partitioning principle
卷号	52
期号	6
DOI	10.1002/bimj.200900218
页码	735-746
英文摘要	Coherence and consonance are the two important concepts to ensure consistent conclusions drawn from multiple tests. Unlike coherence, consonance of a multiple testing procedure (MTP) has not yet received much attention. Although most of the MTPs used in practice are consonant, cases still exist that dissonant tests have to be used due to their unique advantages, for example, the likelihood ratio tests and sum tests. Consonance adjustments are necessary for such tests to avoid difficulty in interpretation. Moreover, in terms of detecting elementary hypotheses, a consonant test procedure is uniformly more powerful than the corresponding dissonant one. In this paper, several general methods using the partitioning principle to construct (strongly) consonant and strongly coherent MTPs are proposed. As a result, any dissonant (but coherent) multiple level alpha test can be improved by a consonant one without any cost in terms of inferences on elementary hypotheses.
会议录出版者	WILEY-BLACKWELL
会议录出版地	111 RIVER ST, HOBOKEN 07030-5774, NJ USA
语种	英语
WOS研究方向	Mathematical & Computational Biology ; Mathematics
WOS记录号	WOS:000285258900004
内容类型	会议论文
源URL	[http://10.2.47.112/handle/2XS4QKH4/3446]
专题	上海财经大学
作者单位	1.Univ Calif Riverside, Dept Stat, Riverside, CA 92521 USA; 2.Shanghai Univ Finance & Econ, Sch Stat & Management, Shanghai 200433, Peoples R China
推荐引用方式 GB/T 7714	Zhao, Haibing,Wang, Bushi,Cui, Xinping. General solutions to consistency problems in multiple hypothesis testing[C]. 见:.

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