{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,10,9]],"date-time":"2026-10-09T02:46:40Z","timestamp":1791514000952,"version":"4.3.4"},"reference-count":22,"publisher":"Oxford University Press (OUP)","issue":"5","license":[{"start":{"date-parts":[[2016,12,19]],"date-time":"2016-12-19T00:00:00Z","timestamp":1482105600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/academic.oup.com\/journals\/pages\/open_access\/funder_policies\/chorus\/standard_publication_model"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2017,11,1]]},"abstract":"<jats:title>Summary<\/jats:title><jats:p>We construct optimal designs for group testing experiments where the goal is to estimate the prevalence of a trait by using a test with uncertain sensitivity and specificity. Using optimal design theory for approximate designs, we show that the most efficient design for simultaneously estimating the prevalence, sensitivity and specificity requires three different group sizes with equal frequencies. However, if estimating prevalence as accurately as possible is the only focus, the optimal strategy is to have three group sizes with unequal frequencies. On the basis of a chlamydia study in the USA we compare performances of competing designs and provide insights into how the unknown sensitivity and specificity of the test affect the performance of the prevalence estimator. We demonstrate that the locally D- and D \u00a0s-optimal designs proposed have high efficiencies even when the prespecified values of the parameters are moderately misspecified.<\/jats:p>","DOI":"10.1111\/rssb.12223","type":"journal-article","created":{"date-parts":[[2016,12,19]],"date-time":"2016-12-19T11:59:19Z","timestamp":1482148759000},"page":"1547-1563","source":"Crossref","is-referenced-by-count":11,"title":["Optimal Group Testing Designs for Estimating Prevalence with Uncertain Testing Errors"],"prefix":"10.1093","volume":"79","author":[{"given":"Shih-Hao","family":"Huang","sequence":"first","affiliation":[{"name":"National Sun Yat-sen University, Kaohsiung, and Academia Sinica , Taipei , Taiwan"},{"name":"University of Michigan , Ann Arbor , USA"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Mong-Na Lo","family":"Huang","sequence":"additional","affiliation":[{"name":"National Sun Yat-sen University , Kaohsiung , Taiwan"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Kerby","family":"Shedden","sequence":"additional","affiliation":[{"name":"University of Michigan , Ann Arbor , USA"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Weng Kee","family":"Wong","sequence":"additional","affiliation":[{"name":"University of California at Los Angeles \u00a0 USA"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"286","published-online":{"date-parts":[[2016,12,19]]},"reference":[{"key":"2023022002194017100_rssb12222-cit-0001","doi-asserted-by":"crossref","DOI":"10.1093\/oso\/9780199296590.001.0001","volume-title":"Optimum Experimental Designs, with SAS","author":"Atkinson","year":"2007"},{"key":"2023022002194017100_rssb12222-cit-0002","doi-asserted-by":"crossref","DOI":"10.1002\/9780470746912","volume-title":"An Introduction to Optimal Designs for Social and Biomedical Research","author":"Berger","year":"2009"},{"key":"2023022002194017100_rssb12222-cit-0003","doi-asserted-by":"crossref","first-page":"41","DOI":"10.1214\/aos\/1176324454","article-title":"Complete class results for the moment matrices of designs over permutation-invariant sets","volume":"23","author":"Cheng","year":"1995","journal-title":"Ann. 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