Cost-cautious designs for confirmatory bioassay

Donev, Alexander N. and Tobias, Randy and Monadjemi, Farinaz (2008) Cost-cautious designs for confirmatory bioassay. Journal of Statistical Planning and Inference, 138. 3805 -3812. ISSN 0378-3758

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Abstract

Confirmatory bioassay experiments take place in late stages of the drug discovery processwhen a small number of compounds have to be compared with respect to their properties. As the cost of the observations may differ considerably, the design problem is well specified by the cost of compound used rather than by the number of observations. We show that cost-efficient designs can be constructed using useful properties of the minimum support designs. These designs are particularly suited for studies where the parameters of the model to be estimated are known with high accuracy prior to the experiment, although they prove to be robust against typical inaccuracies of these values. When the parameters of the model can only be specified with ranges of values or by a probability distribution, we use a Bayesian criterion of optimality to construct the required designs. Typically, the number of their support points depends on the prior knowledge for the model parameters. In all cases we recommend identifying a set of designs with good statistical properties but different potential costs to choose from.

Item Type: Article
Uncontrolled Keywords: Bayesian experimental design Bioassay D- and G-optimality Cost-cautious designs General Equivalence Theorem Nonlinear models
Subjects: MSC 2010, the AMS's Mathematics Subject Classification > 00 General
MSC 2010, the AMS's Mathematics Subject Classification > 62 Statistics
Depositing User: Ms Lucy van Russelt
Date Deposited: 06 Nov 2008
Last Modified: 20 Oct 2017 14:12
URI: http://eprints.maths.manchester.ac.uk/id/eprint/1163

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