Robustness of group testing in the estimation of proportions.

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 benefits of group testing can still be realized.

journal_name

Biometrics

journal_title

Biometrics

authors

Hung M,Swallow WH

doi

10.1111/j.0006-341x.1999.00231.x

subject

Has Abstract

pub_date

1999-03-01 00:00:00

pages

231-7

issue

1

eissn

0006-341X

issn

1541-0420

journal_volume

55

pub_type

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