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A 2‐step procedure for comparing binomial populations available when given differences are to find out
Author(s) -
Horn M.,
Kanka U.
Publication year - 1981
Publication title -
biometrical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.108
H-Index - 63
eISSN - 1521-4036
pISSN - 0323-3847
DOI - 10.1002/bimj.4710230105
Subject(s) - binomial (polynomial) , statistics , mathematics , exact test , binomial distribution , binomial test , type i and type ii errors , sample size determination , negative binomial distribution , continuity correction , beta binomial distribution , poisson distribution
A two‐step procedure for comparing two binomial probabilities is presented. The method is compared with the exact test of FISHER. In average it needs essentially smaller sample sizes. In situations like drug screening it is desired to minimize the type II error rates for great differences of the binomial probabilities and to maximize it for small differences, simultaneously. In this point the method is superior to the FISHER test. Examples from drug screening demonstrate the advantages of the method.