分层分组测试的最优重新测试配置
Optimal retesting configurations for hierarchical group testing.
作者信息
Black Michael S, Bilder Christopher R, Tebbs Joshua M
机构信息
Department of Mathematics, University of Wisconsin-Platteville, Platteville, WI 53818, USA,
Department of Statistics, University of Nebraska-Lincoln, Lincoln, NE 68583, USA.
出版信息
J R Stat Soc Ser C Appl Stat. 2015 Aug 1;64(4):693-710. doi: 10.1111/rssc.12097.
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. In our paper, 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 in order to minimize the expected number of tests. We apply our proposals in two settings: 1) HIV testing programs that currently use three-stage hierarchical testing and 2) chlamydia and gonorrhea screening practices that currently use individual testing. For both applications, we show that substantial savings can be realized by our new procedures.
分层分组检测被广泛用于疾病个体检测。该检测程序首先将个体样本合并成组进行检测。检测结果为阴性的组，其成员被判定为阴性。检测结果为阳性的组随后被分成更小的子组，然后重新检测以找出阳性个体。在我们的论文中，我们提出了一类新的用于分层分组检测的信息性重新检测程序，该程序考虑到个体之间的异质性。这些程序在每个检测阶段确定最佳的组数及其大小，以尽量减少预期检测次数。我们将我们的提议应用于两种情况：1）目前使用三阶段分层检测的艾滋病毒检测项目，以及2）目前使用个体检测的衣原体和淋病筛查实践。对于这两种应用，我们都表明我们的新程序可以实现大幅节省。
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