MULTIDIMENSIONAL SCALING USING FACTOR SCORES

Roberto N. Padua, Joy M. Picar

Abstract


In this paper, we show how the modified factor scores obtained from factor analysis can be used as inputs to the classical multidimensional scaling problem. Some optimality theorems related to the Takane stress function are stated and proved. The use of factor scores in multidimensional scaling is justified on the basis of easy interpretability.

Keywords


factor scores, multidimensional scaling, stress function

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References


Anderson, T.W. (1984). An introduction to multivariate statistical methods. 2nd ed. New York, John Wiley.

Bartlett, M.S. (1937). The statistical conception of mental factors. British Journal of Psychology, Vol. 18, 97-104.

Kruskel, J.B. (1978). Multidimensional scaling. Sage University Paper Series on Quantitative Application in Social Sciences, 07-011. Beverly Hills, London: Sage Publications.

Takane, Y., Young, F.W. and de Leeuw, J. (1977). Non-metric individual differences multidimensional scaling: alternating least squares with optimal scaling feature. Psycometrika, Vol. 42, 7-67.

Young, F.W. and Hamer, R.M. (1987). Multidimensional scaling: History, theory and Application. Hillsdale, N.J. Lawrence Erlbaum Association Publishers.


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