Abstract
There are two statistics one might choose when testing whether two binomial probabilities are the same. This note provides a large sample answer to Robbins' question of which is preferable.
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References
Eberhardt, K. R. and Fligner, M. A. (1977). A comparison of two tests for equality of two proportions,Amer. Statistician,31, 151–155.
Fraser, D. A. S. (1957).Non Parametric Methods in Statistics, Wiley, N.Y.
Johnson, N. L. and Kotz, S. (1970).Continuous Univariate Distributions—1, Houghton Mifflin, Boston.
Robbins, H. (1977). A fundamental question of practical statistics,Amer. Statistician,31, 97.
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Cressie, N. Testing for the equality of two binomial proportions. Ann Inst Stat Math 30, 421–427 (1978). https://doi.org/10.1007/BF02480232
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DOI: https://doi.org/10.1007/BF02480232