Nested Group Testing Procedure

作     者：Wenjun Xiong Juan Ding Wei Zhang Aiyi Liu Qizhai Li 

作者机构：School of Mathematics and StatisticsGuangxi Normal UniversityGuilin 541004People’s Republic of China Department of Information and Computing ScienceCollege of SciencesHohai UniversityNanjing 210098People’s Republic of China LSCNCMISAcademy of Mathematics and Systems ScienceChinese Academy of SciencesBeijing 100190People’s Republic of China Biostatisics and Bioinformatics BranchEunice Kennedy Shriver National Institute of Child HealthBethesda 20817USA University of Chinese Academy of SciencesBeijing 100049People’s Republic of China 

出 版 物：《Communications in Mathematics and Statistics》 (数学与统计通讯（英文）)

年 卷 期：2023年第11卷第4期

页      面：663-693页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：supported by National Natural Science Foundation of China (Grant Nos.11801102,11861017) Beijing Natural Science Foundation (Z180006) the Intramural Research Program of the Eunice Kennedy Shriver National Institute of Child Health and Human Development of the National Institutes of Health 

主　　题：Group testing Negative predictive value Positive predictive value Retest 

摘      要：We investigated the false-negative,true-negative,false-positive,and true-positive predictive values from a general group testing procedure for a heterogeneous *** show that its false(true)-negative predictive value of a specimen is larger(smaller),and the false(true)-positive predictive value is smaller(larger)than that from individual testing procedure,where the former is in *** we propose a nested group testing procedure,and show that it can keep the sterling characteristics and also improve the false-negative predictive values for a specimen,not larger than that from individual *** characteristics are studied from both theoretical and numerical points of *** nested group testing procedure is better than individual testing on both false-positive and false-negative predictive values,while retains the efficiency as a basic characteristic of a group testing *** to Dorfman’s,Halving and Sterrett procedures are *** from extensive simulation studies and an application to malaria infection in microscopy-negative Malawian women exemplify the findings.