MDS and Facet Theory

  • Ingwer Borg
  • Patrick Groenen
Part of the Springer Series in Statistics book series (SSS)


Regional interpretations of MDS solutions are very general and particularly successful approaches for linking MDS configurations and substantive knowledge about the represented objects. Facet theory (FT) provides a systematic framework for regional interpretations. FT structures a domain of interest by partitioning it into types. The typology is generated by coding the objects of interest on some facets of their content. The logic is similar to stratifying a sample of persons or constructing stimuli in a factorial design. What is then tested by MDS is whether the distinctions made on the conceptual (design) side are mirrored in the MDS representation of the objects’ similarity coefficients such that different types of objects fall into different regions of the MDS space.


Duration Judgment Content Facet Facet Theory Facet Element Mapping Sentence 


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Copyright information

© Springer Science+Business Media New York 1997

Authors and Affiliations

  • Ingwer Borg
    • 1
  • Patrick Groenen
    • 2
  1. 1.Zentrum für Umfragen, Methoden und AnalysenMannheimGermany
  2. 2.Department of Data TheoryLeiden UniversityLeidenThe Netherlands

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