A Comparison of Sample Sizes for the Analysis of Means and the Analysis of Variance

Abstract

Tables of sample sizes for the analysis of means necessary for detecting differences among k treatments when two of the treatment means differ by at least a specified amount Δ (measured in units of the process standard deviation) for fixed level of significance α and fixed power P are given forα = 0.1, 0.05, 0.01P = 0.5, 0.6, 0.7, 0.75, 0.8, 0.9, 0.95, 0.99Δ = 1, 1.25, 1.5, 1.75, 2, 2.5, 3k = 3(1)20, 24, 30, 40, 60.A comparison of these sample sizes with previously published sample sizes for the analysis of variance does not reveal any substantial differences. Examples of the use of the tables are given.

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