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Unbiased Estimation of Odds Ratio by Using Negative Binomial Plans

✍ Scribed by Charles Dewitt Roberts


Publisher
John Wiley and Sons
Year
1993
Tongue
English
Weight
293 KB
Volume
35
Category
Article
ISSN
0323-3847

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✦ Synopsis


Abstract

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 CramΓ©r‐Rao lower bound.


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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 t