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Biometrika 1976 63(3):671-680; doi:10.1093/biomet/63.3.671
© 1976 by Biometrika Trust
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Miscellanea

Group testing with a dilution effect

F. K. HWANG

Bell Laboratories Murray Hill, New Jersey

We study a group testing model with the presence of a dilution effect. Namely, a group containing a few defective items may possibly be mimdentified as a group containing no such items, especially when the size of the group is large. When such misidentification happens, a loss is incurred. By assuming that the dilution effect has a special form, which includes the classical model with no dilution effects as a special case, we calculate the expected cost under the Dorfman procedure and determine the optimal group size.

Key Words: Blood test • Decision theory • Dorfman procedure • Optimal procedure • Sampling technique


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