Statistica Sinica 27 (2017), 823-838
Abstract: The D-optimal criterion is used to derive an optimality property of group testing in estimation of the prevalence of two rare correlated diseases when the disease statuses are classified with error. Exact ranges of disease prevalence are obtained in which group testing is more efficient than conventional methods of random sampling.
Key words and phrases: Binary outcomes, classification error, D-optimal criterion, group testing, maximum likelihood estimate, prevalence.