Effects on indscal of non-orthogonal perceptions of object space dimensions |
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Authors: | Robert C. MacCallum |
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Affiliation: | (1) Department of Psychology, The Ohio State University, 43210 Columbus, Ohio |
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Abstract: | A general question is raised concerning the possible consequences of employing the very popular INDSCAL multidimensional scaling model in cases where the assumptions of that model may be violated. Simulated data are generated which violate the INDSCAL assumption that all individuals perceive the dimensions of the common object space to be orthogonal. INDSCAL solutions for these various sets of data are found to exhibit extremely high goodness of fit, but systematically distorted object spaces and negative subject weights. The author advises use of Tucker's three-mode model for multidimensional scaling, which can account for non-orthogonal perceptions of the object space dimensions. It is shown that the INDSCAL model is a special case of the three-mode model. |
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Keywords: | multidimensional scaling individual differences models for multidimensional scaling three-mode factor analysis three-way scaling models |
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