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December, 1949 The Power of the Classical Tests Associated with the Normal Distribution
J. Wolfowitz
Ann. Math. Statist. 20(4): 540-551 (December, 1949). DOI: 10.1214/aoms/1177729946


The present paper is concerned with the power function of the classical tests associated with the normal distribution. Proofs of Hsu, Simaika, and Wald are simplified in a general manner applicable to other tests involving the normal distribution. The set theoretic structure of several tests is characterized. A simple proof of the stringency of the classical test of a linear hypothesis is given.


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J. Wolfowitz. "The Power of the Classical Tests Associated with the Normal Distribution." Ann. Math. Statist. 20 (4) 540 - 551, December, 1949.


Published: December, 1949
First available in Project Euclid: 28 April 2007

zbMATH: 0035.08902
MathSciNet: MR32171
Digital Object Identifier: 10.1214/aoms/1177729946

Rights: Copyright © 1949 Institute of Mathematical Statistics

Vol.20 • No. 4 • December, 1949
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