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An Exact Confidence Interval for the Ratio of Two Related Proportions
Author(s) -
Parker R. A.
Publication year - 1996
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.4710380313
Subject(s) - confidence interval , statistics , mathematics , tolerance interval , cdf based nonparametric confidence interval , robust confidence intervals , population , sensitivity (control systems) , credible interval , exact statistics , confidence region , medicine , environmental health , electronic engineering , engineering
I propose an exact confidence interval for the ratio of two proportions when the proportions are not independent. One application is to estimate the population prevalence using a screening test with perfect specificity but imperfect sensitivity. The population prevalence is the ratio of the observed prevalence divided by the test's sensitivity. I describe a method to calculate exact confidence intervals for this problem and compare these results with approximate confidence intervals given previously.