Abstract
In modern biotechnology applications such as peptide and cDNA library screening and monoclonal antibody generation, significant savings in the number of screening assays frequently can be realized by employing sampling procedures based on group testing. Practical considerations often limit the number of stages of group testing that can be performed in such applications, thereby precluding the deeply nested strategies that have proved to be highly efficient in applications such as contention resolution in multiple access communication systems.
We provide exact formulas for the detection efficiency of some two-stage, three-stage and four-stage assaying strategies, including the popular rows-and-columns technique. Then we derive an upper bound on the maximum efficiency of any two-stage strategy, as opposed to classical bounds which apply only when the number of stages is unlimited. Finally, we use random test selection to show that there exist two-stage group testing protocols whose efficiencies are close to our upper bounds.
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© 1998 Springer Science+Business Media New York
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Berger, T., Mandell, J.W. (1998). Bounds on the Efficiency of Two-Stage Group Testing. In: Vardy, A. (eds) Codes, Curves, and Signals. The Springer International Series in Engineering and Computer Science, vol 485. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-5121-8_16
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DOI: https://doi.org/10.1007/978-1-4615-5121-8_16
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