Comparing two independent binomial proportions by a modified chi square test | Zendy

Schouten H. J. A. | Zendy; Molenaar I. W. | Zendy; Van Strik R. | Zendy; Boomsma A. | Zendy

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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.

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