Optimal designs for choice experiments with asymmetric attributes

被引:107
作者
Burgess, L [1 ]
Street, DJ [1 ]
机构
[1] Univ Technol Sydney, Dept Math Sci, Sydney, NSW 2007, Australia
基金
澳大利亚研究理事会;
关键词
paired comparisons; multiple comparisons; Bradley-Terry model; multinomial logit model; fractional factorial designs; orthogonal main effect plans;
D O I
10.1016/j.jspi.2004.03.021
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
In this paper we establish the form of the optimal design for choice experiments in which attributes need not have the same number of levels for testing main effects only, when there are k attributes, and all choice sets are of size m. We give a construction for optimal and near-optimal designs with small numbers of choice sets. We derive the general form of the determinant of the information matrix for estimating main effects and two-factor interactions and derive the optimal designs for this situation in some special cases. (c) 2004 Elsevier B.V. All rights reserved.
引用
收藏
页码:288 / 301
页数:14
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