國立東華大學應用數學系

專    題    演    講

主講人：黃世豪

                 Academia Sinica, Taipei, Taiwan

講  題：Optimal group testing designs for estimating prevalence  with uncertain testing errors

時  間：104 年 05月 15 日 (星期五)  15:00-17:00

地  點：理工一館 A324 會議室

摘 要

We investigate optimal designs for group testing experiments in which the goal is to estimate an unknown prevalence, and where the sensitivity and specificity of the individual tests are either unknown, or are known but are less than 100%. In the setting of known but imperfect sensitivity and/or specificity, a design with a single group size is optimal, but if the sensitivity or specificity is unknown, the optimal design has three different group sizes occurring with equal frequency. In an alternative framework in which the design must be optimal for the prevalence but not necessarily for estimating unknown sensitivity or specificity values, then a three-point design continues to be optimal, but with unequal group size frequencies. Our work provides insight into the differing consequences of reduced sensitivity and reduced specificity on estimation performance in a group testing setting.

Keywords: D-optimality; Ds-optimality; Group testing; Sensitivity; Specificity

Work done jointly with Prof. M.-N. L. Huang, Prof. K. Shedden, and Prof. W. K. Wong

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