Advertisement

Psychometrika

, Volume 45, Issue 2, pp 149–165 | Cite as

The joint analysis of direct ratings, pairwise preferences, and dissimilarities

  • J. O. Ramsay
Article

Abstract

In studies involving judgments of similarity or dissimilarity, a variety of other variables may also be measured. Examples might be direct ratings of the stimuli, pairwise preference judgments, and physical measurements of the stimuli with respect to various properties. In such cases, there are important advantages to joint analyses of the dissimilarity and collateral variables. A variety of models are described for relating these and algorithms described for fitting these to data. A number of hypothesis tests are developed and an example offered.

Key words

multidimensional scaling paired comparisons 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Reference notes

  1. System/360 Scientific Subroutine Package, Version III. White Plains, N. Y.: International Business Machines Corporation, 1970.Google Scholar
  2. Takane, Y.Multidimensional successive categories scaling: A maximum likelihood method. Paper presented at the joint meeting of the Psychometric Society and the European Mathematical Psychology Group, Uppsala, Sweden, 1978.Google Scholar
  3. Bookstein, A. Personal communication, 1978.Google Scholar

References

  1. Bechtel, G.Multidimensional preference scaling. The Hague: Mouton, 1976.Google Scholar
  2. Bloxom, B. Constrained multidimensional scaling inN spaces.Psychometrika, 1978,43, 397–408.Google Scholar
  3. Carroll, J. D. Individual differences and multidimensional scaling. In R. N. Shepard, A. K. Romney, and S. B. Nerlove (Eds.).Multidimensional scaling: Theory and applications in the behavioral sciences, Vol. 1. New York: Seminar Press, 1972, 105–153.Google Scholar
  4. Duder, S. & Aronson, J. Values in the admission process: An application of multidimensional scaling.Canadian Journal of Social Work Education, 1978,4, 56–75.Google Scholar
  5. O'Hare, D. Individual differences in perceived similarity and preference for visual art: A multidimensional scaling analysis.Perception & Psychophysics, 1976,20, 445–452.Google Scholar
  6. Ramsay, J. O. & Case, B. Attitude measurement and the linear model.Psychological Bulletin, 1970,74, 185–192.Google Scholar
  7. Ramsay, J. O. Maximum likelihood estimation in multidimensional scaling.Psychometrika, 1977,42, 241–266.Google Scholar
  8. Ramsay, J. O. Confidence regions for multidimensional scaling analysis.Psychometrika, 1978,43, 145–160 (a).Google Scholar
  9. Ramsay, J. O.MULTISCALE: Four programs for multidimensional scaling by the method of maximum likelihood. Chicago: National Educational Resources, Inc., 1978 (b).Google Scholar
  10. Ramsay, J. O. Some small sample results for maximum likelihood estimation in multidimensional scaling.Psychometrika, 1980,45, 141–146.Google Scholar
  11. Taylor, D. M., Bassili, J. N., & Aboud, F. E. Dimensions of ethnic identity: An example from Quebec.Journal of Social Psychology, 1973,89, 185–192.Google Scholar

Copyright information

© The Psychometric Society 1980

Authors and Affiliations

  • J. O. Ramsay
    • 1
  1. 1.Department of PsychologyStewart Biological Sciences BuildingMontrealCanada

Personalised recommendations