Statistical evaluation of measures of fit in the Lingoes-Borg procrustean individual differences scaling |
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| Authors: | Rolf Langeheine |
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| Institution: | (1) Institute for science education at the university of kiel, Germany;(2) IPN at the University of Kiel, Olshausenstr. 40-60, D-2300 Kiel 1, Federal Republic of Germany |
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| Abstract: | PINDIS, as recently presented by Lingoes and Borg 1978] not only marks the latest development within the scope of individual differences scaling, but, may be of benefit in some closely related topics, such as target analysis. Decisions on whether the various models available from PINDIS fit fallible data are relatively arbitrary, however, since a statistical theory of the fit measures is lacking. Using Monte Carlo simulation, expected fit measures as well as some related statistics were therefore obtained by scaling sets of 4(4)24 random configurations of 5(5)30 objects in 2, 3, and 4 dimensions (individual differences case) and by fitting one random configuration to a fixed random target for 5(5)30 objects in 2, 3, and 4 dimensions (target analysis case). Applications are presented. |
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| Keywords: | individual differences scaling procrustean transformations matrix fitting target analysis configuration similarity Monte Carlo evaluation |
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