Some useful nonparametric tests for ordered alternatives in randomized block experiments |
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Authors: | Mark L. Berenson |
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Affiliation: | 1. Department of Statistics &2. Computer Information Systems , Baruch College, CUNY , New York City, New York, 10010 |
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Abstract: | Testing for ordered alternatives in randomized block designs has been a problem of interest for almost three decades (Jonckheere (1954)). Three classes of rank tests have evolved—tests based on “within-blocks” rankings (W-tests), tests based on “ranking after alignment” within blocks (RAA-tests), and tests based on “among-blocks” rankings (A-Tests). This paper focuses on the latter. A simplified version of the Skillings-Wolfe generalized Purl test (1977) is suggested and two very useful A-tests—a generalized Johnson-Mehrotra “Optimal contrast” procedure and a generalized Tryon-Hettmansperger rank test—are developed. These procedures are compared and contrasted with other recent competitors presented by Skllllngs and Wolfe (1978) and by Salama and Quade (1981). |
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Keywords: | ordered alernatives power and “practical power” nandomized block design block mights |
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