A Gravity-Based Multidimensional Unfolding Model for Preference Data
A new model for analyzing two-way, two-mode preference data is proposed. MultiDimensional Unfolding models (MDU) have been used widely. In these model, the observed preference value is related to the distance between the ideal point and object point only. The market share of each brand is ignored or assumed to be be the same for all objects. The attraction of each object, such as the market share of that object, must be incorporated in the analysis of marketing data. A gravity-based multidimensional unfolding model will be proposed. One specific characteristic of preference data of N subjects is that observed preference values of individuals are often not compatible between individuals. The de-generated configuration problem on applying the non-metric MDU method to a real data set will be caused by the week condition on the data matrix. A linearly constrained non-metric approach is also proposed to try to rescue from obtaining the de-generated configuration.
KeywordsGravity Model Ideal Point Object Point Brand Loyalty Joint Configuration
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- BOTTUM, M.S. (1989): Retail Gravity Model. The Appraisal Journal, 557, 166–172.Google Scholar
- BORG, I, and GROENEN, P. (1997): Modern Multidimensional Scaling. Springer, New York.Google Scholar
- GREEN, P.E. and RAO, V.R. (1972): Applied Multidimensional Scaling. Dryden Press, Hinsdale, IL.Google Scholar
- RUSHTON, G. (1969): The Scaling of Locational Preferences. In: K.R. Cox and R.G. Gooedge (Eds): Behavioral Problems in Geography: A Symposium. Studies in Geography, 17, 192–227, Department of Geography, Northwestern University.Google Scholar