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Tables of Sample Sizes in the Analysis of Variance

Summary: Tables are provided which give the minimum sample sizes per treatment (or level) for all combinations of alpha = 0.5, 0.3, 0.25, 0.2, 0.1, 0.05, 0.01 and beta = 0.3, 0.2, 0.1, 0.05, for relative discrimination (Delta/Sigma) = 1.0(0.5)3.0, and for the number of fixed-effect treatments or factor levels t = 2(1)11, 13, 16, 21, 25, and 31. Relative discrimination is defined as a standardized difference Delta/Sigma, where Delta is the amount by which at least two of the treatments differs. Examples are given of experiments for which it is better to fix the Type II error rate Beta at a small value and allow the Type I error rate to become relatively large.

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  • Topics: Sampling
  • Keywords: Discriminant analysis,Fixed-effects model,Sample size
  • Author: Bratcher, T.L.; Moran, M.A.; Zimmer, W.J.
  • Journal: Journal of Quality Technology