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Activity Number: 475
Type: Contributed
Date/Time: Wednesday, August 5, 2009 : 10:30 AM to 12:20 PM
Sponsor: IMS
Abstract - #303928
Title: Optimal Configuration of a Square Array Group Testing Algorithm
Author(s): Michael Hudgens and Hae-Young Kim*+
Companies: The University of North Carolina at Chapel Hill and New England Research Institutes
Address: 9 Galen St, Watertown, MA, 02472,
Keywords: Array ; Group testing ; Optimal configuration ; Prevalence ; Efficiency
Abstract:

Phatarfod and Sudbury (Statistics in Medicine, 1994) and Kim et al. (Biometrics, 2007) studied the efficiency and error rates of square array-based pooling algorithms for the detection of acute infection. In this talk, we consider the optimal configuration of a square array group testing algorithm (denoted A2) to minimize the expected number of tests per specimen for a given prevalence. For prevalence greater than 0.2498, individual testing is shown to be more efficient than A2. For prevalence less than 0.2498, closed form lower and upper bounds on the optimal group sizes for A2 are given. It is also shown that 2 x 2, 3 x 3, and 4 x 4 arrays are never optimal.

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