Comparison of Bayesian and frequentist methods for prevalence estimation under misclassification

BMC Public Health
Matthias FlorMatthias Greiner

Abstract

Various methods exist for statistical inference about a prevalence that consider misclassifications due to an imperfect diagnostic test. However, traditional methods are known to suffer from truncation of the prevalence estimate and the confidence intervals constructed around the point estimate, as well as from under-performance of the confidence intervals' coverage. In this study, we used simulated data sets to validate a Bayesian prevalence estimation method and compare its performance to frequentist methods, i.e. the Rogan-Gladen estimate for prevalence, RGE, in combination with several methods of confidence interval construction. Our performance measures are (i) error distribution of the point estimate against the simulated true prevalence and (ii) coverage and length of the confidence interval, or credible interval in the case of the Bayesian method. Across all data sets, the Bayesian point estimate and the RGE produced similar error distributions with slight advantages of the former over the latter. In addition, the Bayesian estimate did not suffer from the RGE's truncation problem at zero or unity. With respect to coverage performance of the confidence and credible intervals, all of the traditional frequentist methods ex...Continue Reading

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Citations

May 1, 2021·International Journal of Environmental Research and Public Health·David McConnellRoisin Adams
Jun 21, 2021·Preventive Veterinary Medicine·M N AlmeidaD C L Linhares
Jun 14, 2021·Pathology·Alyson CraigieArlo Upton
Jul 9, 2021·European Journal of Microbiology & Immunology·Ulrike Loderstädt, Hagen Frickmann

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