Robustness of group testing in the estimation of proportions

Biometrics
M Hung, W H Swallow

Abstract

In binomial group testing, unlike one-at-a-time testing, the test unit consists of a group of individuals, and each group is declared to be defective or nondefective. A defective group is one that is presumed to include one or more defective (e.g., infected, positive) individuals and a nondefective group to contain only nondefective individuals. The usual binomial model considers the individuals being grouped as independent and identically distributed Bernoulli random variables. Under the binomial model and presuming that groups are tested and classified without error, it has been shown that, when the proportion of defective individuals is low, group testing is often preferable to individual testing for identifying infected individuals and for estimating proportions of defectives. We discuss the robustness of group testing for estimating proportions when the underlying assumptions of (i) no testing errors and (ii) independent individuals are violated. To evaluate the effect of these model violations, two dilution-effect models and a serial correlation model are considered. Group testing proved to be quite robust to serial correlation. In the presence of a dilution effect, smaller group sizes should be used, but most of the bene...Continue Reading

Citations

Oct 11, 2012·Biometrika·Aiyi LiuPaul S Albert
Dec 1, 2012·Biostatistics·Christopher S McMahanChristopher R Bilder
Dec 1, 2001·Annual Review of Entomology·Robert C VenetteWilliam D Hutchison
Sep 12, 2012·The American Journal of Tropical Medicine and Hygiene·Shira Mitchell, Marcello Pagano
Sep 16, 2005·Biometrical Journal. Biometrische Zeitschrift·Christopher R Bilder, Joshua M Tebbs
Sep 1, 2017·Statistics in Medicine·Md S WarasiChristopher R Bilder
Jan 16, 2019·Biometrical Journal. Biometrische Zeitschrift·Surupa Roy, Tathagata Banerjee
May 13, 2019·Environmental Science and Pollution Research International·Joanna RosińskaRyszard Gołdyn
Apr 25, 2018·Statistics in Medicine·Ngoc T NguyenHrayer Aprahamian
Mar 21, 2021·BMC Medical Research Methodology·Wei ZhangAiyi Liu

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