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Assessing Fit and Dimensionality in Least Squares Metric Multidimensional Scaling Using Akaike’s Information Criterion

¹ University of Missouri-St. Louis
² University of Minnesota

^* To whom correspondence should be addressed. E-mail: dingc{at}umsl.edu.

	Abstract

Akaike’s information criterion is suggested as a tool for evaluating fit and dimensionality in metric multidimensional scaling that uses least squares methods of estimation. This criterion combines the least squares loss function with the number of estimated parameters. Numerical examples are presented. The results from analyses of both simulation data and real data demonstrate the utility of the Akaike’s information criterion in identifying the best approximating models in multidimensional scaling analyses.

First published on September 4, 2009
Educational and Psychological Measurement 2009, doi:10.1177/0013164409344554


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