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Nested group testing Procedure

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Communications in Mathematics and Statistics 2023年第4期11卷 663-693页

作者： Wenjun Xiong Juan Ding Wei Zhang Aiyi Liu Qizhai Li School of Mathematics and Statistics Guangxi Normal UniversityGuilin 541004People’s Republic of China Department of Information and Computing Science College of SciencesHohai UniversityNanjing 210098People’s Republic of China LSC NCMISAcademy of Mathematics and Systems ScienceChinese Academy of SciencesBeijing 100190People’s Republic of China Biostatisics and Bioinformatics Branch Eunice Kennedy Shriver National Institute of Child HealthBethesda 20817USA University of Chinese Academy of Sciences Beijing 100049People’s Republic of China

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.

关键词： group testing Negative predictive value Positive predictive value Retest

Modelling the utility of group testing for public health surveillance

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Infectious Disease Modelling 2021年第1期6卷 1009-1024页

作者： Günther Koliander Georg Pichler Acoustics Research Institute Austrian Academy of SciencesWohllebengasse 12-141040ViennaAustria Institute of Telecommunications TU WienGußhausstraße 25/E3891040ViennaAustria

In epidemic or pandemic situations,resources for testing the infection status of individuals may be *** group testing can help to significantly increase testing capabilities,the(repeated)testing of entire populations can exceed the resources of any *** thus propose an extension of the theory of group testing that takes into account the fact that definitely specifying the infection status of each individual is *** theory builds on assigning to each individual an infection status(healthy/infected),as well as an associated cost function for erroneous *** cost function is versatile,e.g.,it could take into account that false negative assignments are worse than false positive assignments and that false assignments in critical areas,such as health care workers,are more severe than in the general *** on this model,we study the optimal use of a limited number of tests to minimize the expected *** specifically,we utilize information-theoretic methods to give a lower bound on the expected cost and describe simple strategies that can significantly reduce the expected cost over currently known strategies.A detailed example is provided to illustrate our theory.

关键词： group testing Public health surveillance Source coding Rate-distortion theory

A New Algorithm for a group testing Problem on a n-Coin Set Containing One Defective One

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Journal of Systems Science and Information 2006年第2期4卷 389-394页

作者： Lingchun Xiong Jin Gao Department of Mathematics and Physics Beijing Technology and Business University Beijing 100037 China sychol.ucl.ac.uk

In this paper we study further on a group testing problem of identifying the defective from a n-coin set containing one defective coin with a balance without weight. The defective coin is not of the same weight as each of the normal ones. We derive a new testing algorithm which can tell out the defective from the n-coin set with the worst-case minimum number of tests.

关键词： combinatorial optimization mathematics induction group testing

A group testing Problem on a n- Item Set Containing Two Defective Ones

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Journal of Systems Science and Information 2007年第4期5卷 339-345页

作者： Lingchun Xiong Lijuan Weng Department of Mathematics and Physics Beijing Technology and Business University Beijing100037 China

In this paper we study a group testing model ФX, Y,, XY. In other words, we consider a n-item set containing exactly two defective ones. The purpose of this paper is to find out the two defective items with a worst-case minimum number of tests, each of which will indicates whether the subset being tested contains all good （normal） items or not and in the latter case, it is not sure that the tested subset is of one defective （bad） item or two. Based on the M-sharp algorithm obtained in the previous paper and some combinatorial skills, we derive an almost optimal algorithm for the so called n-problem.

关键词： combinatorial optimization mathematics induction group testing M-sharp algorithm

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分组测试与迫进控制标准

高等学校计算数学学报 2006年第3期28卷 272-282页

作者：綦明男刘三阳临沂276005 西安电子科技大学应用数学系西安电子科技大学应用数学系西安710071／临沂师范学院数学系

1引言在第二次世界大战期间,珍珠港事件发生后,美国为了反击德国法西斯挑起的侵略战争,多次进行大规模的征兵活动．在征兵活动中,需要对大量报名入伍者进行健康检查,看其身体是否符合入伍的条件．其中一项健康检查的内容是血液抗体检测... 详细信息

1引言在第二次世界大战期间,珍珠港事件发生后,美国为了反击德国法西斯挑起的侵略战争,多次进行大规模的征兵活动．在征兵活动中,需要对大量报名入伍者进行健康检查,看其身体是否符合入伍的条件．其中一项健康检查的内容是血液抗体检测,通过血液抗体检测,查出梅毒的携带者．当时,由于被检测者数量巨大,部队又急需补充兵员,检测时间紧、任务重,这就需要找到一种科学的检测方法,用尽可能少的测试次数检测出所有病毒携带者,这一问题后来称为搜索坏硬币的最优化问题．在这个问题中,被检测者抽象为硬币,血液不带病毒者抽象为标准硬币,血液带病毒者抽象为伪硬币,检测的设备称为装置．如何用特定性能的若干台装置,以尽可能少的测试次数从由硬币组成的集合中检测出全部伪硬币,是一个有很强实际背景的最优化问题,正因为如此,近一段时间组合搜

关键词： defective coin standard coin group testing balance proximate control criteria