论文标题
嘈杂的一阶段小组测试的统计数据
The Statistics of Noisy One-Stage Group Testing in Outbreaks
论文作者
论文摘要
在一阶段或非自适应组测试中,而不是单独测试每个样本单元,而是分开,捆绑在池中并同时进行测试。然后将结果解码以推断单个项目的状态。这结合了自适应合并测试的优势,即。 e。节省资源和更高的吞吐量,以及个人测试的吞吐量,e。 g。较短的检测时间和精益实验室组织,可能适合在暴发期间进行筛查。我们研究基于线性流行率恒定的行和柱总和的最大分离池矩阵的非自适应合并策略的COMP和NCOMP解码算法,并在有PCR检验中激发的噪声测量中。我们计算敏感性,特异性,I型和II级错误的概率,以及带有阳性结果的项目数量以及预期的假阳性数量和假否定性的数量。我们进一步提供了阳性和假阳性结果数量方差的估计。我们对得出的计算和边界进行了详尽的讨论。总的来说,本文为筛选策略和工具提供了蓝图,以帮助决策者在爆发中适当调整它们。
In one-stage or non-adaptive group testing, instead of testing every sample unit individually, they are split, bundled in pools, and simultaneously tested. The results are then decoded to infer the states of the individual items. This combines advantages of adaptive pooled testing, i. e. saving resources and higher throughput, with those of individual testing, e. g. short detection time and lean laboratory organisation, and might be suitable for screening during outbreaks. We study the COMP and NCOMP decoding algorithms for non-adaptive pooling strategies based on maximally disjunct pooling matrices with constant row and column sums in the linear prevalence regime and in the presence of noisy measurements motivated by PCR tests. We calculate sensitivity, specificity, the probabilities of Type I and II errors, and the expected number of items with a positive result as well as the expected number of false positives and false negatives. We further provide estimates on the variance of the number of positive and false positive results. We conduct a thorough discussion of the calculations and bounds derived. Altogether, the article provides blueprints for screening strategies and tools to help decision makers to appropriately tune them in an outbreak.