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March, 1953 The Power of Rank Tests
E. L. Lehmann
Ann. Math. Statist. 24(1): 23-43 (March, 1953). DOI: 10.1214/aoms/1177729080


Simple nonparametric classes of alternatives are defined for various nonparametric hypotheses. The power of a number of such tests against these alternatives is obtained and illustrated with some numerical results. Optimum rank tests against certain types of alternatives are derived, and optimum properties of Wilcoxon's one- and two-sample tests and of the rank correlation test for independence are proved.


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E. L. Lehmann. "The Power of Rank Tests." Ann. Math. Statist. 24 (1) 23 - 43, March, 1953.


Published: March, 1953
First available in Project Euclid: 28 April 2007

zbMATH: 0050.14702
MathSciNet: MR54208
Digital Object Identifier: 10.1214/aoms/1177729080

Rights: Copyright © 1953 Institute of Mathematical Statistics

Vol.24 • No. 1 • March, 1953
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