Approximate and exact distributions of rank tests for balanced incomplete block designs |
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| Authors: | Mayer Alvo Paul Cabilio |
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| Institution: | 1. Departmentof Mathematics , University of Ottawa , 585 King Edward, Ottawa, Ontario, KIN6N5, Canada;2. Department of Mathematics &3. Statistics , Acadia University , Wolfville, Nova Scotia, BOP 1X0, Canada |
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| Abstract: | Judges rank k out of t objects according to m replic ations of abasic balanced incomplete block design with bblocks. In Alvo and Cabilio(1991),it is shown that the Durbin test, which is the usual test in this situation, can be written in terms of Spearman correlations between the blocks, and using a Kendall correlation, they generated a new statistic for this situation.This Kendall tau based statistic has a richer support than the Durbin statistic, and is at least as efficient.In the present paper,exact and simulation based tables are generated for both statistics, and various approximations to these null distributions are considered and compared. |
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| Keywords: | Balanced incomplete blocks rankings doubly balanced incomplete block design Durbin test Kendall tau based test critical values |
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