Journal article

Estimation of proportions by group testing with retesting of positive groups

Graham Hepworth, Stephen D Walter

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | TAYLOR & FRANCIS INC | Published : 2020

Abstract

When estimating a proportion p by group testing, and it is desired to increase precision, it is sometimes impractical to obtain additional individuals but it is possible to retest groups formed from the individuals within the groups that test positive at the first stage. Hepworth and Watson assessed four methods of retesting, and recommended a random regrouping of individuals from the first stage. They developed an estimator of p for their proposed method, and, because of the analytic complexity, used simulation to examine its variance properties. We now provide an analytical solution to the variance of the estimator, and compare its performance with the earlier simulated results. We show th..

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University of Melbourne Researchers