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A Consonance Criterion for Choosing Sample Size

W. Alan Nicewander and James M. Price
The American Statistician
Vol. 51, No. 4 (Nov., 1997), pp. 311-317
DOI: 10.2307/2685897
Stable URL: http://www.jstor.org/stable/2685897
Page Count: 7
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A Consonance Criterion for Choosing Sample Size
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Abstract

Sample sizes determined by the proposed criterion ensure that subjectively "important" parameter estimates will be statistically significant; alternatively, subjectively "trivial" values will be excluded from confidence intervals for those parameters. Formulas are given for simple mean differences, multiple correlations, and mean comparison methods in multiple group settings, with suggestions for extension to larger, factorial designs. Although no assumptions are necessary about the true values of unknown parameters or a desired level of power, adequate power is provided for important results. Only central distributions are required for either the exact iterative solutions given or their closed form approximations.

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