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Biometrika 1982 69(1):237-238; doi:10.1093/biomet/69.1.237
© 1982 by Biometrika Trust
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MISCELLANEA

Tables for testing ordered alternatives in an analysis of variance without replications

A. KUDÔ and J. S. YAO

Department of Mathematics, Kyushu University Fukuoka, Japan
Department of Mathematics, National Taiwan University Taipei, Taiwan

Given a series of k normal populations with a common but unknown variance, and supposing that an observation is drawn from each one of them, then a likelihood ratio test of homogeneity of the means against the simple order alternative is possible when the significance level {alpha} is less than 1/k!. For these possible combinations of {alpha} and k tables for testing the hypothesis are provided where {alpha} = 0.10, 0.05, 0.025, 0.01, 0.005, 0.0025, 0.001 and k = 4(1)20.

Key Words: Isotonic regression • Likelihood ratio test • One-way layout • Simple order alternative


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