Proximities

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

Abstract

The data for MDS, proximities, are discussed. Proximities can be collected directly as judgments of similarity; proximities can be derived from data vectors; proximities may result from converting other indexes; and co-occurrence data are yet another popular form of proximities.

Keywords

Similarity ratings Sorting method Feature model LCJ model Co-occurrence data S-coefficient Jaccard coefficient Simple matching coefficient Gravity model 

References

  1. Bilsky, W., Borg, I., & Wetzels, P. (1994). Assessing connfict tactics in close relationships: A reanlysis of a research instrument. In J. J. Hox, P. G. Swanborn, & G. J. Mellenbergh (Eds.), Facet theory: Analysis and design (pp. 39–46). Zeist, The Netherlands: Setos.Google Scholar
  2. Borg, I. (1988). Revisiting Thurstone’s and Coombs’ scales on the seriousness of crimes and offences. European Journal of Social Psychology, 18, 53–61.CrossRefGoogle Scholar
  3. Borg, I., & Groenen, P. J. F. (2005). Modern multidimensional scaling (2nd ed.). New York: Springer.MATHGoogle Scholar
  4. Cox, T. F., & Cox, M. A. A. (2000). Multidimensional scaling (2nd ed.). London: Chapman & Hall.MATHGoogle Scholar
  5. Coxon, A. P. M., & Jones, C. L. (1978). The images of occupational prestige: A study in social cognition. London: Macmillan.CrossRefGoogle Scholar
  6. England, G., & Ruiz-Quintanilla, S. A. (1994). How working is defined: Structure and stability. In I. Borg & S. Dolan (Eds.), Proceedings of the Fourth International Conference on Work and Organizational Values (pp. 104–113). Montreal: ISSWOV.Google Scholar
  7. Glushko, R. J. (1975). Pattern goodness and redundancy revisited: Multidimensional scaling and hierarchical clustering analyses. Perception & Psychophysics, 17, 158–162.CrossRefGoogle Scholar
  8. Gower, J. C. (1985). Measures of similarity, dissimilarity, and distance. In S. Kotz, N. L. Johnson, & C. B. Read (Eds.), Encyclopedia of statistical sciences (Vol. 5, pp. 397–405). New York: Wiley.Google Scholar
  9. Graef, J., & Spence, I. (1979). Using distance information in the design of large multidimensional scaling experiments. Psychological Bulletin, 86, 60–66.CrossRefGoogle Scholar
  10. Green, P. E., & Wind, Y. (1973). Multivariate decisions in marketing: A measurement approach. Hinsdale, IL: Dryden.Google Scholar
  11. Mair, P., Rusch, T., & Hornik, K. (2014). The grand old party: A party of values? SpringerPlus, 3(697), 1–10.Google Scholar
  12. Restle, F. (1959). A metric and an ordering on sets. Psychometrika, 24, 207–220.MathSciNetCrossRefGoogle Scholar
  13. Spence, I., & Domoney, D. W. (1974). Single subject incomplete designs for nonmetric multidimensional scaling. Psychometrika, 39, 469–490.CrossRefGoogle Scholar
  14. Thurstone, L. L. (1927). A law of comparative judgment. Psychological Review, 34, 273–286.CrossRefGoogle Scholar
  15. Tobler, W., & Wineburg, S. (1971). A cappadocian speculation. Nature, 231, 39–41.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

Personalised recommendations