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Unbiased Estimation of Relative Risk Using a Binomial with a Negative Binomial Plan
Author(s) -
Roberts Ch.
Publication year - 1988
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.4710300809
Subject(s) - statistics , mathematics , binomial proportion confidence interval , negative binomial distribution , binomial distribution , relative risk , binomial (polynomial) , negative multinomial distribution , confidence interval , binomial test , efficiency , continuity correction , beta binomial distribution , econometrics , poisson distribution , estimator
Abstract The use of the binomial distribution for the numerator and the negative binomial for the denominator in prospective studies leads to an unbiased estimate of relative risk and an unbiased estimate for combining experiments. Optimal sample sizes for groups are calculated and confidence intervals for the relative risk are presented. The efficiency of plans are evaluated by comparing variances and coefficients of variation.