Correlation and Factor Analytic Approach to Multidimensional Scaling
Keywords:
multidimensional scaling, correlations, factor scoresAbstract
Multidimensional scaling (MDS) attempts to represent higher dimensional p-variate
vectors in lower dimensional spaces such that the interitem proximities are closely
preserved. The paper suggests two (2) new procedures for performing MDS that
minimizes a stress function using pairwise correlations and by utilizing aspects of factor scores in factor analysis. Results reveal that the two (2) procedures perform as well as, if not better than, the classical minimization search algorithm.
References
Kruskal, J.B. (1964). “Non-Metric Multidimensional Scaling: A Numerical Method”
Psychometrika, 29, no. 1, pp. 115-129.
Shepard, R.N. (1980). “Multidimensional Scaling, Tree-Fitting and Clustering” Science,
, no.4468, pp. 390-398.
Takane, Y., F.W. Young, and J.D. Leeuw (1977). “Non-Metric Individual Differences
Multidimensional Scaling” Psychometrika, 42, pp. 7-67.
Young,F.W and R.M. Hamer (1987). Multidimensional Scaling: History, Theory and
Applications. Hillsdale, NJ: Lawrence Erlbaum Associates Publishers.
Downloads
Published
Issue
Section
License
Copyright (c) 2023 The Treshhold
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.