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The Purpose of MDS and Unfolding

  • Ingwer Borg
  • Patrick J. F. Groenen
  • Patrick Mair
Chapter
Part of the SpringerBriefs in Statistics book series (BRIEFSSTATIST)

Abstract

The different purposes of MDS are explained: MDS for visualizing proximity data; MDS for uncovering latent dimensions; MDS as a psychological theory about judgments of similarity; MDS for testing structural hypotheses; unfolding as a psychological theory about judgments of preference.

Keywords

Latent dimension Distance axiom Minkowski distance Euclidean distance City-block distance Dominance metric Partition Facet Radex Cylindrex External unfolding Internal unfolding 

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Copyright information

© The Author(s) 2018

Authors and Affiliations

  • Ingwer Borg
    • 1
  • Patrick J. F. Groenen
    • 2
  • Patrick Mair
    • 3
  1. 1.Westfälische Wilhelms-UniversitätMuensterGermany
  2. 2.Econometric InstituteErasmus University RotterdamRotterdamThe Netherlands
  3. 3.Department of PsychologyHarvard UniversityCambridgeUSA

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