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Biometrika 1977 64(2):335-338; doi:10.1093/biomet/64.2.335
© 1977 by Biometrika Trust
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Tables for testing ordered alternatives in an analysis of variance

LLOYD S. NELSON

Applied Mathematics Laboratory General Electric Company, Louisville, Kentucky

In an analysis of variance of a one-way classification, the null hypothesis customarily states that the samples have been drawn from populations having the same mean. One useful alternative hypothesis orders the means in a monotone increasing sequence. Tables for testing this hypothesis are given for k means each having n observations for

k = 3(1)10, n = 2(1)20,24,30,40,60, {alpha} = 0•10, 0•05, 0•01, 0•001.

Key Words: Amalgamation • Analysis of variance • Ordered alternatives


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