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Revisiting nested group testing procedures: new results, comparisons,\n and robustness

2016/08/22 by Yaakov Malinovsky, Paul S. Albert, Malinovsky, Yaakov +1 · 1 citation
Immunology and Microbiology · Medicine · #FOS: Computer and information sciences #Immunodeficiency and Autoimmune Disorders #Other Statistics (stat.OT) #Respiratory viral infections research #SARS-CoV-2 detection and testing

paper · pdf · doi:10.48550/arxiv.1608.06330

openalex publication_date 2016/08/22 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28

Abstract

Group testing has its origin in the identification of syphilis in the US army\nduring World War II. Much of the theoretical framework of group testing was\ndeveloped starting in the late 1950s, with continued work into the 1990s.\nRecently, with the advent of new laboratory and genetic technologies, there has\nbeen an increasing interest in group testing designs for cost saving purposes.\nIn this paper, we compare different nested designs, including Dorfman, Sterrett\nand an optimal nested procedure obtained through dynamic programming. To\nelucidate these comparisons, we develop closed-form expressions for the optimal\nSterrett procedure and provide a concise review of the prior literature for\nother commonly used procedures. We consider designs where the prevalence of\ndisease is known as well as investigate the robustness of these procedures when\nit is incorrectly assumed. This article provides a technical presentation that\nwill be of interest to researchers as well as from a pedagogical perspective.\nSupplementary material for this article is available online.\n

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