Correlation and Factor Analytic Approach to Multidimensional Scaling

Authors

  • Roberto Padua

Keywords:

multidimensional scaling, correlations, factor scores

Abstract

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”

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Shepard, R.N. (1980). “Multidimensional Scaling, Tree-Fitting and Clustering” Science,

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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.

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Published

2011-12-31