2007/10/29 by Marc Mezard, M Mézard, Marco Tarzia +3
Biochemistry, Genetics and Molecular Biology · Mathematics · Medicine · Physics and Astronomy · #Advanced Biosensing Techniques and Applications #Group (periodic table) #Group testing #Inference #SARS-CoV-2 detection and testing #Statistical Methods in Clinical Trials #Statistical analysis #Statistical hypothesis testing #Statistical inference #cond-mat.stat-mech
paper · pdf · doi:10.1088/1742-6596/95/1/012019
12 pages, 5 figures. To appear in proceedings of Conference "IW-SMI 2007" (Kyoto, september 2007)
arxiv created 2007/10/29 · openalex publication_date 2008/01/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
This paper provides a short introduction to the group testing problem, and reviews various aspects of its statistical physics formulation. Two main issues are discussed: the optimal design of pools used in a two-stage testing experiment, like the one often used in medical or biological applications, and the inference problem of detecting defective items based on pool diagnosis. The paper is largely based on: M. Mézard and C. Toninelli, arXiv:0706.3104i, and M. Mézard and M. Tarzia Phys. Rev. E 76 , 041124 (2007).