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Tests for balanced incomplete block ranked data with ties
Authors:D. J. Best ,P. B. Brockhoff &dagger  , J. C. W. Rayner &Dagger  
Affiliation:School of Mathematics and Applied Statistics, The University of Wollongong, Northfields Avenue, Wollongong, NSW 2522, Australia; Informatics and Mathematical Modelling, The Technical University of Denmark, Richard Petersens Plads, Build. 321, DK-2800 Kgs. Lyngby, Denmark; School of Mathematics and Applied Statistics, The University of Wollongong, Northfields Avenue, Wollongong, NSW 2522, Australia
Abstract:We consider balanced incomplete block data when ties occur and propose new statistics for testing (a) differences in mean ranks, (b) differences in distributions of ranks, (c) differences in nonlinear effects of ranks and (d) linear contrasts. A sensory evaluation example where the data are ranks is given.
Keywords:components    Durbin rank test    Nonparametrics    Schach rank test
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