Group Testing Procedures for Screening: Probabilistic Model

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Citation of Original Publication

Malinovsky, Yaakov, and Paul S. Albert. “Group Testing Procedures for Screening: Probabilistic Model.” In International Encyclopedia of Statistical Science. Springer, Berlin, Heidelberg, 2025. https://doi.org/10.1007/978-3-662-69359-9_262.

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This work was written as part of one of the author's official duties as an Employee of the United States Government and is therefore a work of the United States Government. In accordance with 17 U.S.C. 105, no copyright protection is available for such works under U.S. Law.
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Abstract

The use of group testing for disease screening has been reinvigorated in the past few years due to COVID-19. To save resources and time, many countries have used group testing strategies as the basis of their COVID-19 national screening programs. Discussions focused on the applications of these testing strategies have appeared both in leading scientific journals (e.g., Shental et al. 2020; Mercer and Salit 2021; Yelin et al. 2020) and in the popular press (as in the Washington Post, NY Times, Scientific American). This article reviews a class of adaptive group testing procedures that operate under a probabilistic model and the error-free testing assumption described below. In nonadaptive group testing, all tests are fixed in advance before the testing. In adaptive group testing, the information from previous tests can be used.