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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Reference note
Langeheine, R. Approximate norms and significance tests for the Lingoes-Borg procrustean individual differences scaling (PINDIS). Research Report No. 39. Kiel, Institute for Science Education, 1980.
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Langeheine, R. Statistical evaluation of measures of fit in the Lingoes-Borg procrustean individual differences scaling. Psychometrika 47, 427–442 (1982). https://doi.org/10.1007/BF02293707
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DOI: https://doi.org/10.1007/BF02293707