Nested Group Testing Procedure

doi:10.1007/s40304-021-00269-0

	Nested Group Testing Procedure
	Xiong, Wenjun 1; Ding, Juan 2; Zhang, Wei 3; Liu, Aiyi 4; Li, Qizhai 3,5
刊名	COMMUNICATIONS IN MATHEMATICS AND STATISTICS
	2022-10-01
页码	31
关键词	Group testing Negative predictive value Positive predictive value Retest
ISSN号	2194-6701
DOI	10.1007/s40304-021-00269-0
英文摘要	We investigated the false-negative, true-negative, false-positive, and true-positive predictive values from a general group testing procedure for a heterogeneous population. We 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 aversion. Then 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 testing. These characteristics are studied from both theoretical and numerical points of view. The 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 procedure. Applications to Dorfman's, Halving and Sterrett procedures are discussed. Results from extensive simulation studies and an application to malaria infection in microscopy-negative Malawian women exemplify the findings.
资助项目	National Natural Science Foundation of China[11801102] ; National Natural Science Foundation of China[11861017] ; Beijing Natural Science Foundation[Z180006] ; Intramural Research Program of the Eunice Kennedy Shriver National Institute of Child Health and Human Development of the National Institutes of Health
WOS研究方向	Mathematics
语种	英语
出版者	SPRINGER HEIDELBERG
WOS记录号	WOS:000862182300001
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/60983]
专题	中国科学院数学与系统科学研究院
通讯作者	Li, Qizhai
作者单位	1.Guangxi Normal Univ, Sch Math & Stat, Guilin 541004, Peoples R China 2.Hohai Univ, Coll Sci, Dept Informat & Comp Sci, Nanjing 210098, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, NCMIS, LSC, Beijing 100190, Peoples R China 4.Eunice Kennedy Shriver Natl Inst Child Hlth, Biostat & Bioinformat Branch, Bethesda, MD 20817 USA 5.Univ Chinese Acad Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Xiong, Wenjun,Ding, Juan,Zhang, Wei,et al. Nested Group Testing Procedure[J]. COMMUNICATIONS IN MATHEMATICS AND STATISTICS,2022:31.
APA	Xiong, Wenjun,Ding, Juan,Zhang, Wei,Liu, Aiyi,&Li, Qizhai.(2022).Nested Group Testing Procedure.COMMUNICATIONS IN MATHEMATICS AND STATISTICS,31.
MLA	Xiong, Wenjun,et al."Nested Group Testing Procedure".COMMUNICATIONS IN MATHEMATICS AND STATISTICS (2022):31.