Farrow, M. and Goldstein, M. (2006) 'Trade-off sensitive experimental design : a multicriterion, decision theoretic, Bayes linear approach.', Journal of statistical planning and inference., 136 (2). pp. 498-526.
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.
|Keywords:||Imprecise utility, Multi-attribute utility, Pareto optimality, Oral glucose tolerance test.|
|Full text:||(AM) Accepted Manuscript|
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|Publisher Web site:||http://dx.doi.org/10.1016/j.jspi.2004.07.008|
|Date accepted:||No date available|
|Date deposited:||24 February 2010|
|Date of first online publication:||February 2006|
|Date first made open access:||No date available|
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