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Optimal partitions of finite populations for Dorfman-type group testing

Authors
Journal
Journal of Statistical Planning and Inference
0378-3758
Publisher
Elsevier
Publication Date
Volume
12
Identifiers
DOI: 10.1016/0378-3758(85)90087-4
Keywords
  • Binomial Model
  • Modified Binomial Model

Abstract

Abstract In some group testing models, a group of units may be tested simultaneously to determine that either all units are satisfactory or that at least one unit in the group is defective. In this article, a simple method is given for determining an optimal partition of a finite population into groups for doing group testing by using Dorfman-type procedures for both usual binomial model and the modified binomial of Pfeifer and Enis (1978). It is shown that an optimal partition can be determined by evaluating the expected number of tests for at most two partitions. The given method of determining an optimal partition greatly improves on the method given by Pfeifer and Enis (1978) and proves the optimality of the method suggested by Lee and Sobel (1972) for the usual binomial model.

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