The optimal size of choice sets in choice experiments

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

Acknowledgements

This research was supported by the Australian Research Council with Grant DP0343632.