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首页> 外文期刊>Journal of applied statistics >Confidence interval procedures for proportions estimated by group testing with groups of unequal size adjusted for overdispersion
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Confidence interval procedures for proportions estimated by group testing with groups of unequal size adjusted for overdispersion

机译：通过小组测试估计的比例的置信区间程序，其中不等大小的小组针对过度分散进行了调整

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摘要

Group testing is a method of pooling a number of units together and performing a single test on the resulting group. Group testing is an appealing option when few individual units are thought to be infected and the cost of the testing is non-negligible. Overdispersion is the phenomenon of having greater variability than predicted by the random component of the model; this is common in the modeling of binomial distribution for group testing. The purpose of this paper is to provide a comparison of several established methods of constructing confidence intervals after adjusting for overdispersion. We evaluate and investigate each method in six different cases of group testing. A method based on the score statistic with correction for skewness is recommended. We illustrate the methods using two data sets, one from the detection of seed transmission and the other from serological testing for malaria.
机译：分组测试是一种将多个单元集合在一起并在生成的分组上执行单个测试的方法。当认为个别单位很少被感染且测试费用不可忽略时，团体测试是一种有吸引力的选择。过度分散是比模型的随机成分所预测的具有更大可变性的现象；这在组测试的二项式分布建模中很常见。本文的目的是提供几种在调整过分散后建立置信区间的已建立方法的比较。我们在六种不同的小组测试案例中评估和研究每种方法。推荐一种基于得分统计并校正偏斜的方法。我们用两种数据集说明了这些方法，一种来自种子传播的检测，另一种来自血清学检测的疟疾。

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