Confidence intervals for the ratio of two Poisson rates under one-way differential misclassification using double sampling

Wald, profile likelihood, and marginal likelihood confidence intervals are derived for the ratio of two Poisson rates in the presence of one-way differentially misclassified data using double sampling. Monte Carlo simulations demonstrate the reliability and relative performance of the intervals, and...

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Bibliographic Details
Published in:Computational statistics & data analysis 2016-03, Vol.95, p.122-132
Main Authors: Kahle, David J., Young, Phil D., Greer, Brandi A., Young, Dean M.
Format: Article
Language:English
Subjects:
Differential misclassification
Double-sampling
Poisson rates
Under-reporting
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Summary:Wald, profile likelihood, and marginal likelihood confidence intervals are derived for the ratio of two Poisson rates in the presence of one-way differentially misclassified data using double sampling. Monte Carlo simulations demonstrate the reliability and relative performance of the intervals, and an example from cancer epidemiology illustrates their application and interpretation in a real-world scenario. All of the methods described are implemented and freely available in the R package poisDoubleSamp on the Comprehensive R Archive Network (CRAN).
ISSN:0167-9473
1872-7352
DOI:10.1016/j.csda.2015.09.013