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Unbiased Estimation of Odds Ratio by Using Negative Binomial Plans
Author(s) -
Roberts Charles Dewitt
Publication year - 1993
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.4710350507
Subject(s) - statistics , mathematics , odds ratio , variance (accounting) , binomial distribution , binomial proportion confidence interval , odds , negative binomial distribution , binomial (polynomial) , econometrics , logistic regression , economics , poisson distribution , accounting
The use of the negative binomial distribution in both the numerator and denominator in prospective studies leads to an unbiased estimate of the odds ratio and an exact expression for its variance. Sample sizes that minimize the variance of odds ratio estimates are specified. The variance of the odds ratio estimate is shown to be close to the Cramér‐Rao lower bound.