Publication details for Prof. Michael GoldsteinFarrow, 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.
- Publication type: Journal papers: academic
- ISSN/ISBN: 0378-3758
- DOI: 10.1016/j.jspi.2004.07.008
- Keywords: Imprecise utility; Multi-attribute utility; Pareto optimality; Oral glucose tolerance test
- Further publication details on publisher web site
- Durham Research Online (DRO) - may include full text
Author(s) from Durham
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.