Nested Group Testing Procedures for Screening
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Citation of Original Publication
Malinovsky, Yaakov, and Paul S. Albert. “Nested Group Testing Procedures for Screening.” Wiley StatsRef: Statistics Reference Online (23 November 2021): 1–8. https://doi.org/10.1002/9781118445112.stat08363.
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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.
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
This article reviews a class of adaptive group testing procedures that operate under a probabilistic model assumption as follows. Consider a set of N items, where item i has the probability p (pi in the generalized group testing) to be defective, and the probability 1−p to be non-defective independent from the other items. A group test applied to any subset of size n is a binary test with two possible outcomes, positive or negative. The outcome is negative if all n items are non-defective, whereas the outcome is positive if at least one item among the n items is defective. The goal is complete identification of all N items with the minimum expected number of tests.