Comparing Nonparametric Tests of Equality of Means for Randomized Block Designs |
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| Authors: | D J Best O Thas Jan De Neve David Allingham |
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| Institution: | 1. School of Mathematical and Physical Sciences, University of Newcastle, New South Wales, Australia;2. Centre for Statistical and Survey Methodology, School of Mathematics and Applied Statistics, University of Wollongong, New South Wales, Australia;3. Department of Mathematical Modelling, Statistics and Bioinformatics, Ghent University, Gent, Belgium;4. Department of Mathematical Modelling, Statistics and Bioinformatics, Ghent University, Gent, Belgium;5. Centre for Computer-Assisted Research Mathematics and Its Applications, School of Mathematical and Physical Sciences, University of Newcastle, Newcastle, New South Wales, Australia |
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| Abstract: | A number of nonparametric tests are compared empirically for a randomized block layout. We assess tests appropriate for when the data are not consistent with normality or when outliers invalidate traditional analysis of variance (ANOVA) tests. The objective is to assess, within this setting, tests that use ranks within blocks, the rank transform procedure that ranks the complete sample and continuous analogs of the Cochran–Mantel–Haenszel tests. The usual linear model is assumed, and our primary foci are tests of equality of means and component tests that assess linear and quadratic trends in the means. These tests include the traditional Page and Friedman tests. We conclude that the rank transform tests have competitive power and warrant greater use than is currently apparent. |
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| Keywords: | Alignment Nonnormal errors Nonparametric analysis Randomized blocks layout Simulation study |
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