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July, 1975 Unbiasedness of the Chi-Square, Likelihood Ratio, and Other Goodness of Fit Tests for the Equal Cell Case
Arthur Cohen, H. B. Sackrowitz
Ann. Statist. 3(4): 959-964 (July, 1975). DOI: 10.1214/aos/1176343197

Abstract

The chi-square test, likelihood ratio test, and other goodness of fit tests in a family are shown to have monotonic power functions, and hence are unbiased, for testing a simple hypothesis that all cell probabilities are equal. The chi-square test is also shown to be Type D for this situation.

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Arthur Cohen. H. B. Sackrowitz. "Unbiasedness of the Chi-Square, Likelihood Ratio, and Other Goodness of Fit Tests for the Equal Cell Case." Ann. Statist. 3 (4) 959 - 964, July, 1975. https://doi.org/10.1214/aos/1176343197

Information

Published: July, 1975
First available in Project Euclid: 12 April 2007

zbMATH: 0311.62021
MathSciNet: MR381087
Digital Object Identifier: 10.1214/aos/1176343197

Subjects:
Primary: 62F05
Secondary: 62G10

Keywords: Chi-square test , goodness of fit tests , Hypothesis testing , likelihood ratio tests , Type D. , unbiasedness

Rights: Copyright © 1975 Institute of Mathematical Statistics

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Vol.3 • No. 4 • July, 1975
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