A Gravity-Based Multidimensional Unfolding Model for Preference Data

  • Tadashi Imaizumi
Part of the Studies in Classification, Data Analysis, and Knowledge Organization book series (STUDIES CLASS)


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.


Gravity Model Ideal Point Object Point Brand Loyalty Joint Configuration 


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Copyright information

© Springer-Verlag Berlin · Heidelberg 2005

Authors and Affiliations

  • Tadashi Imaizumi
    • 1
  1. 1.School of Management & Information SciencesTama UniversityTokyoJapan

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