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September, 1954 A Computing Formula for the Power of the Analysis of Variance Test
W. L. Nicholson
Ann. Math. Statist. 25(3): 607-610 (September, 1954). DOI: 10.1214/aoms/1177728731


A formula for the power of the analysis of variance test is derived for the case when the denominator of the $F$ ratio has an even number of degrees of freedom. The form employed is particularly adapted to computation of the power as a function of the alternative hypothesis with arbitrary fixed level of significance and fixed degrees of freedom. For $m$ degrees of freedom in the numerator and 2, 4, 6, 8 and 10 in the denominator, the power functions are deduced from the general formula, with an indication of their use.*


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W. L. Nicholson. "A Computing Formula for the Power of the Analysis of Variance Test." Ann. Math. Statist. 25 (3) 607 - 610, September, 1954.


Published: September, 1954
First available in Project Euclid: 28 April 2007

zbMATH: 0056.12805
MathSciNet: MR64367
Digital Object Identifier: 10.1214/aoms/1177728731

Rights: Copyright © 1954 Institute of Mathematical Statistics


Vol.25 • No. 3 • September, 1954
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