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A Bayesian model for the optimal ordering of a collection of screens

Lookup NU author(s): Professor Richard Boys, Professor Kevin Glazebrook


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Bergman & Gittins (1985) propose a screen design problem in which a collection of screens for therapeutic activity and toxicity of pharmaceutical compounds is to be sequenced. They describe conditions under which a natural ordering heuristic based on failure probability per unit cost for each screen is optimal. We propose a Bayesian model in which measures of activity and toxicity are given a joint prior density. The above conditions for optimality are satisfied for this model under simply stated conditions. A numerical study suggests that the heuristic performs well more generally.

Publication metadata

Author(s): Boys RJ, Glazebrook KD, McCrone CM

Publication type: Article

Publication status: Published

Journal: Biometrika

Year: 1996

Volume: 83

Issue: 2

Pages: 472-476

Print publication date: 01/01/1996

ISSN (print): 0006-3444

ISSN (electronic): 1464-3510

Publisher: Oxford University Press


DOI: 10.1093/biomet/83.2.472


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