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A combined p-value test for the mean difference of high-dimensional data

A combined p-value test for the mean difference of high-dimensional data
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摘要 This paper proposes a novel method for testing the equality of high-dimensional means using a multiple hypothesis test. The proposed method is based on the maximum of standardized partial sums of logarithmic p-values statistic. Numerical studies show that the method performs well for both normal and non-normal data and has a good power performance under both dense and sparse alternative hypotheses. For illustration, a real data analysis is implemented. This paper proposes a novel method for testing the equality of high-dimensional means using a multiple hypothesis test. The proposed method is based on the maximum of standardized partial sums of logarithmic p-values statistic. Numerical studies show that the method performs well for both normal and non-normal data and has a good power performance under both dense and sparse alternative hypotheses. For illustration, a real data analysis is implemented.
出处 《Science China Mathematics》 SCIE CSCD 2019年第5期961-978,共18页 中国科学:数学(英文版)
基金 supported by a grant from the University Grants Council of Hong Kong, National Natural Science Foundation of China (Grant No. 11471335) the Ministry of Education Project of Key Research Institute of Humanities and Social Sciences at Universities (Grant No. 16JJD910002) Fund for Building World-Class Universities (Disciplines) of Renmin University of China
关键词 HIGH-DIMENSIONAL data EQUALITY of means multiple HYPOTHESIS testing SPARSE alternatives high-dimensional data equality of means multiple hypothesis testing sparse alternatives
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