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The optimal size of choice sets in choice experiments
Authors:
Leonie Burgess a;
Deborah J. Street b
| Affiliations: | a Department of Mathematical Sciences and Centre for the Study of Choice and Centre for Health Economics Research and Evaluation, University of Technology, Sydney, Australia |
| b Department of Mathematical Sciences, Centre for the Study of Choice, University of Technology, Sydney, Australia |
DOI:
10.1080/02331880601013841
Publication Frequency:
6 issues per year
Subjects:
Mathematical Statistics;
Statistical Theory & Methods;
Statistics;
Statistics for the Biological Sciences;
Stochastic Models & Processes;
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Abstract
In this paper, we establish the optimal size of the choice sets in generic choice experiments for asymmetric attributes when estimating main effects only. We give an upper bound for the determinant of the information matrix when estimating main effects and all two-factor interactions for binary attributes. We also derive the information matrix for a choice experiment in which the choice sets are of different sizes and use this to determine the optimal sizes for the choice sets.
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| Keywords: Paired comparisons; Multiple comparisons; Optimal design |
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