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

Article

Nelson, Peter R.   (1983, ASQC)   Searle Research and Development

Journal of Quality Technology    Vol. 15    No. 1
QICID: 5442    January 1983    pp. 33-39
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Article 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 delta (measured in units of the process standard deviation) for fixed level for significance alpha and fixed power P are given foralpha = 0.1, 0.05, 0.01P = 0.5, 0.6, 0.7, 0.75, 0.8, 0.9, 0.95, 0.99delta = 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.

Keywords

Analysis Of Means (ANOM),Statistical methods,Power,Sample size


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