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Group testing

In statistics and combinatorial mathematics, group testing is any procedure that breaks up the task of identifying objects into tests on groups of items, rather than testing each item individually. First studied by Robert Dorfman in 1943, group testing is a relatively new field of mathematics that can be applied to a wide range of practical applications…

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Overview

Basic description and terms

History and development

Formalisation of combinatorial group testing

Non-adaptive algorithms

Example applications

General references

  • ISBN ISBN (identifier)
  • ArXiv ArXiv (identifier)
  • Doi Doi (identifier)
  • S2CID S2CID (identifier)
  • Bibcode Bibcode (identifier)
  • ISSN ISSN (identifier)

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Group testing

Nodes60
Edges59
Triples120
Avg. degree1.97
Density0.033333
Components1

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Group testing

Top relations

related to General references · 39
Group testing → Aldridge, Algorithms, An Information Theory Perspective, Applications, Atri Rudra's, Ben-gal, Bibcode, Combinatorial, Combinatorics, Communications, Ding-Zhu, Du, Error Correcting Codes, Eugene, Explicit, Foundations, Frank, Hwang, IEEE Transactions, IIE Transactions
related to Basic description and terms · 14
Group testing → At, However, If, On, Robert Dorfman, Second World War, Selective, Service, Supposing, Testing, The, This, United States Public Health, Unlike
related to Invention and initial progress · 12
Group testing → After, Annals, Dorfman, Dorfman's, Mathematical Statistics, Notes, Robert Dorfman, Stephen Samuels, Sterrett, The, Then, This
related to Combinatorial group testing · 8
Group testing → Combinatorial, Dorfman's, Group, Katona, Li, Li’s, The, This
related to Multiplex assay design for COVID19 testing · 6
Group testing → COVID-19, During, In, One, Origami, Origami Assays
related to Non-adaptive and probabilistic testing · 6
Group testing → Chan, COMP, In, It, One, This
related to Variations and extensions · 6
Group testing → For, Group, More, One, The Bernoulli, There
related to Bounds for non-adaptive algorithms · 5
Group testing → Additionally, Boolean, OR, The, This
related to Representation of non-adaptive algorithms · 5
Group testing → Algorithms, First, In, Suppose, The
has application · 3
Group testing → DNA, The, This

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Important terminology

displaystyle testing group algorithm test tests number one items defectives defective problem item called non-adaptive comp positive probability every set

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Group testingis arelatively new field of mathematics that can be applied to a wide range of practical applications and is an active area of research today.A familiar example of group testing inv…0.90text
Group testingis aconstruction of the mixtures can be time-consuming and difficult to do accurately by hand0.90text
DNA classificationinstance ofwithout wastefully assigning times to inactive users.Machine learning and compressed sensingMachine learning is a field of computer science that has many software applications0.80text
fraud detectioninstance ofwithout wastefully assigning times to inactive users.Machine learning and compressed sensingMachine learning is a field of computer science that has many software applications0.80text
targeted advertisinginstance ofwithout wastefully assigning times to inactive users.Machine learning and compressed sensingMachine learning is a field of computer science that has many software applications0.80text
the COVID-19 outbreak in 2020instance ofMultiplex assay design for COVID19 testingDuring a pandemic0.80text
virus detection assays are sometimes run using nonadaptive group testing designsinstance ofMultiplex assay design for COVID19 testingDuring a pandemic0.80text
DNA classificationinstance ofMachine learning and compressed sensingMachine learning is a field of computer science that has many software applications0.80text
fraud detectioninstance ofMachine learning and compressed sensingMachine learning is a field of computer science that has many software applications0.80text
targeted advertisinginstance ofMachine learning and compressed sensingMachine learning is a field of computer science that has many software applications0.80text
Group testinghas applicationThe0.60section
Group testinghas applicationDNA0.60section

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