Optimal retesting configurations for hierarchical group testing
Optimal retesting configurations for hierarchical group testing
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DOI：
10.1111/rssc.12097
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发表时间：
2015-08-01
影响因子：
1.6
通讯作者：
Tebbs, Joshua M.
中科院分区：
文献类型：
--
作者：
Black, Michael S.;Bilder, Christopher R.;Tebbs, Joshua M.
分层群体测试被广泛用于测试个体的疾病。这种测试程序的工作原理是首先将单个样本合并成组进行测试。测试结果呈阴性的群体，其成员被宣布为阴性。测试呈阳性的群体随后被分成更小的亚组，然后重新测试以寻找阳性个体。我们提出了一类新的层次组测试，承认个体之间的异质性的信息重测程序。这些程序确定每个测试阶段的最佳组数及其大小，以最大限度地减少预期的测试次数。我们在两种情况下应用我们的建议：目前使用三阶段分层检测的人类免疫缺陷病毒检测方案和目前使用个体检测的衣原体和淋病筛查做法。对于这两个应用程序，我们表明，大量的节省可以实现我们的新程序。
Hierarchical group testing is widely used to test individuals for diseases. This testing procedure works by first amalgamating individual specimens into groups for testing. Groups testing negatively have their members declared negative. Groups testing positively are subsequently divided into smaller subgroups and are then retested to search for positive individuals. We propose a new class of informative retesting procedures for hierarchical group testing that acknowledges heterogeneity among individuals. These procedures identify the optimal number of groups and their sizes at each testing stage to minimize the expected number of tests. We apply our proposals in two settings: human immunodeficiency virus testing programmes that currently use three-stage hierarchical testing and chlamydia and gonorrhoea screening practices that currently use individual testing. For both applications, we show that substantial savings can be realized by our new procedures.