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A New Maximum Test via the Dependent Samples t-Test and the Wilcoxon Signed-Ranks Test 被引量:2

A New Maximum Test via the Dependent Samples t-Test and the Wilcoxon Signed-Ranks Test
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摘要 A maximum test in lieu of forcing a choice between the two dependent samples t-test and Wilcoxon signed-ranks test is proposed. The maximum test, which requires a new table of critical values, maintains nominal α while guaranteeing the maximum power of the two constituent tests. Critical values, obtained via Monte Carlo methods, are uniformly smaller than the Bonferroni-Dunn adjustment, giving it power superiority when testing for treatment alternatives of shift in location parameter when data are sampled from non-normal distributions. A maximum test in lieu of forcing a choice between the two dependent samples t-test and Wilcoxon signed-ranks test is proposed. The maximum test, which requires a new table of critical values, maintains nominal α while guaranteeing the maximum power of the two constituent tests. Critical values, obtained via Monte Carlo methods, are uniformly smaller than the Bonferroni-Dunn adjustment, giving it power superiority when testing for treatment alternatives of shift in location parameter when data are sampled from non-normal distributions.
出处 《Applied Mathematics》 2014年第1期110-114,共5页 应用数学(英文)
关键词 MAXIMUM TEST DEPENDENT SAMPLES T-TEST Wilcoxon Signed-Ranks TEST Bonferroni-Dunn Adjustment Experiment-Wise Type I Error Inferential Statistics Monte Carlo Method Maximum Test Dependent Samples t-Test Wilcoxon Signed-Ranks Test Bonferroni-Dunn Adjustment Experiment-Wise Type I Error Inferential Statistics Monte Carlo Method
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