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1 results

  • The Heterogeneous P-Median Problem for Categorization Based Clustering

  • Simon J. Blanchard, Daniel Aloise, Wayne S. DeSarbo
  • Journal:
    Psychometrika / Volume 77 / Issue 4 / October 2012
    Published online by Cambridge University Press:
    01 January 2025, pp. 741-762

  • The p-median offers an alternative to centroid-based clustering algorithms for identifying unobserved categories. However, existing p-median formulations typically require data aggregation into a single proximity matrix, resulting in masked respondent heterogeneity. A proposed three-way formulation of the p-median problem explicitly considers heterogeneity by identifying groups of individual respondents that perceive similar category structures. Three proposed heuristics for the heterogeneous p-median (HPM) are developed and then illustrated in a consumer psychology context using a sample of undergraduate students who performed a sorting task of major U.S. retailers, as well as a through Monte Carlo analysis.