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The Blood Testing Problem

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  • H. M. Finucan

Abstract

It is already known from numerical studies that, to identify the infected members of an assemblage, it may be economical to first test in groups and then to test individuals from the infected groups. In the present paper an algebraic treatment is provided for the two‐stage method just mentioned and also for methods using three or more stages.

Suggested Citation

  • H. M. Finucan, 1964. "The Blood Testing Problem," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 13(1), pages 43-50, March.
    • Handle: RePEc:bla:jorssc:v:13:y:1964:i:1:p:43-50
    DOI: 10.2307/2985222
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    Cited by:

    1. Yaakov Malinovsky & Paul S. Albert, 2015. "A Note on the Minimax Solution for the Two-Stage Group Testing Problem," The American Statistician, Taylor & Francis Journals, vol. 69(1), pages 45-52, February.
    2. Hae-Young Kim & Michael G. Hudgens & Jonathan M. Dreyfuss & Daniel J. Westreich & Christopher D. Pilcher, 2007. "Comparison of Group Testing Algorithms for Case Identification in the Presence of Test Error," Biometrics, The International Biometric Society, vol. 63(4), pages 1152-1163, December.
    3. Pritha Guha, 2022. "Application of Pooled Testing Methodologies in Tackling the COVID-19 Pandemic," Management and Labour Studies, XLRI Jamshedpur, School of Business Management & Human Resources, vol. 47(1), pages 7-21, February.
    4. David Hong & Rounak Dey & Xihong Lin & Brian Cleary & Edgar Dobriban, 2022. "Group testing via hypergraph factorization applied to COVID-19," Nature Communications, Nature, vol. 13(1), pages 1-13, December.
    5. Shaul K. Bar‐Lev & Arnon Boneh & David Perry, 1990. "Incomplete identification models for group‐testable items," Naval Research Logistics (NRL), John Wiley & Sons, vol. 37(5), pages 647-659, October.

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