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September, 1958 A Comparative Study of Several One-Sided Goodness-of-Fit Tests
Douglas G. Chapman
Ann. Math. Statist. 29(3): 655-674 (September, 1958). DOI: 10.1214/aoms/1177706529


Criteria for evaluating goodness-of-fit tests are reviewed and two additional criteria proposed. The several goodness-of-fit tests which have been proposed are studied in the light of these criteria. It is shown that it is relatively easy to evaluate the maximum and minimum power of those tests which are "partially ordered" against alternatives at a fixed "distance" from the hypothesis. A comparison is made of five tests on the basis of such minimum and maximum power functions.


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Douglas G. Chapman. "A Comparative Study of Several One-Sided Goodness-of-Fit Tests." Ann. Math. Statist. 29 (3) 655 - 674, September, 1958.


Published: September, 1958
First available in Project Euclid: 27 April 2007

zbMATH: 0086.12702
MathSciNet: MR109398
Digital Object Identifier: 10.1214/aoms/1177706529

Rights: Copyright © 1958 Institute of Mathematical Statistics

Vol.29 • No. 3 • September, 1958
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