Confirmatory MDS

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

Abstract

Different forms of confirmatory MDS are introduced, from weak forms with external starting configurations to enforcing theoretical constraints onto the MDS point coordinates or onto certain regions of the MDS space.

Keywords

Confirmatory MDS External scales Dimensional constraints Shearing Axial partition Penalty function 

References

  1. Borg, I., Groenen, P. J. F., Jehn, K. A., Bilsky, W., & Schwartz, S. H. (2011). Embedding the organizational culture profile into Schwartz’s theory of universals in values. Journal of Personnel Psychology, 10, 1–12.CrossRefGoogle Scholar
  2. Borg, I., & Lingoes, J. C. (1980). A model and algorithm for multidimensional scaling with external constraints on the distances. Psychometrika, 45, 25–38.CrossRefGoogle Scholar
  3. Browne, M. W. (1992). Circumplex models for correlation matrices. Psychometrika, 57, 469–497.CrossRefGoogle Scholar
  4. Dichtl, E., Bauer, H. H., & Schobert, R. (1980). Die Dynamisierung mehrdimensionaler Marktmodelle am Beispiel des deutschen Automobilmarkts. Marketing, 3, 163–177.Google Scholar
  5. Grassi, M., Luccio, R., & Di Blas, L. (2010). CircE: An R implementation of Browne’s circular stochastic process model. Behavior Research Methods, 42, 55–73.CrossRefGoogle Scholar
  6. Lingoes, J. C., & Borg, I. (1983). A quasi-statistical model for choosing between alternative configurations derived from ordinally constrained data. British Journal of Mathematical and Statistical Psychology, 36, 36–53.CrossRefGoogle Scholar
  7. Rothkopf, E. Z. (1957). A measure of stimulus similarity and errors in some paired-associate learning. Journal of Experimental Psychology, 53, 94–101.CrossRefGoogle Scholar
  8. Schwartz, S. H. (1992). Universals in the content and structure of values: Theoretical advances and empirical tests in 20 countries. Advances in Experimental Social Psychology, 25, 1–65.CrossRefGoogle Scholar

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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