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Trade-off sensitive experimental design: a multicriterion, decision theoretic, Bayes linear approach

Farrow, M.; Goldstein, M.

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Authors

M. Farrow



Abstract

We show how mutually utility independent hierarchies, which weigh the various costs of an experiment against benefits expressed through a mixed Bayes linear utility representing the potential gains in knowledge from the experiment, provide a flexible and intuitive methodology for experimental design which remains tractable even for complex multivariate problems. A key feature of the approach is that we allow imprecision in the trade-offs between the various costs and benefits. We identify the Pareto optimal designs under the imprecise specification and suggest a criterion for selecting between such designs. The approach is illustrated with respect to an experiment related to the oral glucose tolerance test.

Citation

Farrow, M., & Goldstein, M. (2006). Trade-off sensitive experimental design: a multicriterion, decision theoretic, Bayes linear approach. Journal of Statistical Planning and Inference, 136(2), 498-526. https://doi.org/10.1016/j.jspi.2004.07.008

Journal Article Type Article
Publication Date 2006-02
Deposit Date Apr 26, 2007
Publicly Available Date Feb 24, 2010
Journal Journal of Statistical Planning and Inference
Print ISSN 0378-3758
Publisher Elsevier
Peer Reviewed Peer Reviewed
Volume 136
Issue 2
Pages 498-526
DOI https://doi.org/10.1016/j.jspi.2004.07.008
Keywords Imprecise utility, Multi-attribute utility, Pareto optimality, Oral glucose tolerance test.

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