Optimal designs for stated choice experiments that incorporate position effects

Marcel Dekker
Publication Type:
Journal Article
Communications in Statistics - Theory and Methods, 2012, 41 (10), pp. 1771 - 1795
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Davidson and Beaver (1977) extended the Bradley-Terry model to incorporate the possible effect of position within a choice set on the choices made in paired comparisons experiments. We further extend the Davidson-Beaver result to choice sets of any size and show, under a mild restriction, that designs optimal for the multinomial logit model are still optimal. Designs balanced for carry-over effects of all orders can be used to construct designs with a diagonal information matrix for attribute effects. The theoretical results are derived assuming equal merits and we discuss the possible consequences of assuming unequal merits in an example.
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