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An Unfolding Scaling Model for Aggregated Preferential Choice Data

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Data Analysis and Decision Support

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Abstract

The unfolding model has been widely used as a model for preferential choice data. This model is treated as the special case of multidimensional scaling with so-called “ideal” points. In this model, the distance between an “ideal” point and object points are related to the degree of individual preferential choice data for objects. However, the unfolding model has some difficulties, degeneracies, indeterminacies and multidimensionality problems in application to real data. In this paper, we propose a parametric unfolding model for aggregated choice data by introducing the attractiveness of objects.

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References

  • BORG, I. and GROENEN, P. (1997): Modern Multidimensional Scaling. Springer-Verlag, New York.

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Author information

Authors and Affiliations

  1. School of Management & Information Sciences, Tama University, 4-1-1 Hijirigaoka, Tama-shi, Tokyo, 206-0022, Japan

    Tadashi Imaizumi

Authors
  1. Tadashi Imaizumi
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Editor information

Editors and Affiliations

  1. Institute of Business Administration and Economics, Brandenburg University of Technology Cottbus, Konrad-Wachsmann-Allee 1, 03046, Cottbus, Germany

    Daniel Baier (Chair of Marketing and Innovation Management) (Chair of Marketing and Innovation Management)

  2. Department of Business Administration and Economics, Bielefeld University, Universitätsstr. 25, 33615, Bielefeld, Germany

    Reinhold Decker (Chair of Marketing) (Chair of Marketing)

  3. Computer Based New Media Group (CGNM), Institute for Computer Science, University of Freiburg, Georges-Köhler-Allee 51, 79110, Freiburg, Germany

    Lars Schmidt-Thieme

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© 2005 Springer-Verlag Berlin · Heidelberg

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Imaizumi, T. (2005). An Unfolding Scaling Model for Aggregated Preferential Choice Data. In: Baier, D., Decker, R., Schmidt-Thieme, L. (eds) Data Analysis and Decision Support. Studies in Classification, Data Analysis, and Knowledge Organization. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-28397-8_8

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