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Comparing two independent binomial proportions by a modified chi square test
Author(s) -
Schouten H. J. A.,
Molenaar I. W.,
Van Strik R.,
Boomsma A.
Publication year - 1980
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.4710220305
Subject(s) - mathematics , statistics , chi square test , continuity correction , binomial (polynomial) , test (biology) , square (algebra) , binomial distribution , sample size determination , pearson's chi squared test , statistical hypothesis testing , negative binomial distribution , beta binomial distribution , test statistic , poisson distribution , paleontology , geometry , biology
When using the chi square test to compare the proportions of successes in two independent binomial samples, a new continuity correction is proposed, which equals half the size of the smaller sample. Exact computations of unconditional tail‐probabilities, together with a theoretical argument, show that this correction is more appropriate than the YATES correction. This version of the chi square test is still conservative, but less so, and as a consequence more powerful, than the YATES corrected test.