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The optimal size of choice sets in choice experiments |
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| Authors: | Leonie Burgess Deborah J Street |
| Institution: | 1. Department of Mathematical Sciences and Centre for the Study of Choice and Centre for Health Economics Research and Evaluation , University of Technology , Sydney, PO Box 123, Broadway, NSW 2007, Australia Leonie.Burgess@uts.edu.au;3. Department of Mathematical Sciences, Centre for the Study of Choice , University of Technology , Sydney, PO Box 123, Broadway, NSW 2007, Australia |
| 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. |
| Keywords: | Paired comparisons Multiple comparisons Optimal design |