OPTIMAL DESIGNS FOR 2kPAIRED COMPARISON EXPERIMENTS
- 31 August 2001
- journal article
- Published by Taylor & Francis in Communications in Statistics - Theory and Methods
- Vol. 30 (10) , 2149-2171
- https://doi.org/10.1081/sta-100106068
Abstract
In this paper we establish the form of the optimal paired comparison design when there are k attributes, each with two levels, for testing for main effects, for main effects and two factor interactions and for main effects and two and three factor interactions. In all cases we assume that all pairs with the same number of attributes different appear equally often. In this setting the D and A optimal designs for main effects are the foldover pairs and those for main effects and two factor interactions have pairs in which about half the attributes are different.Keywords
This publication has 9 references indexed in Scilit:
- Utility Covariances and Context Effects in Conjoint MNP ModelsMarketing Science, 1998
- A Hierarchical Bayes Model of Primary and Secondary DemandMarketing Science, 1998
- Optimal designs for asymmetrical factorial paired comparison experimentsCommunications in Statistics - Simulation and Computation, 1994
- Optimizing the delivery of patient and physician satisfactionHealth Care Management Review, 1993
- Design of paired comparison experiments when treatments are levels of a single quantitative variableJournal of Statistical Planning and Inference, 1987
- Optimal paired comparison designs for factorial and quadratic modelsJournal of Statistical Planning and Inference, 1986
- Optimal design results for 2nfactorial paired comparison experimentsCommunications in Statistics - Theory and Methods, 1984
- Design and Analysis of Simulated Consumer Choice or Allocation Experiments: An Approach Based on Aggregate DataJournal of Marketing Research, 1983
- Treatment Contrasts in Paired Comparisons: Large-Sample Results, Applications, and Some Optimal DesignsJournal of the American Statistical Association, 1978