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An Individual Differences Additive Model: An Alterating Least Squares Method with Optimal Scaling Features

Published online by Cambridge University Press:  01 January 2025

Yoshio Takane ,
Forrest W. Young  and
Jan de Leeuw
Yoshio Takane*
Affiliation:
McGill University
Forrest W. Young
Affiliation:
University of North Carolina
Jan de Leeuw
Affiliation:
University of Leiden
*
Requests for reprints should be sent to Yoshio Takane, Department of Psychology, McGill University, 1205 Docteur Penfield Avenue, Montreal, Quebec, H3A 1B1.
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Abstract

An individual differences additive model is discussed which represents individual differences in additivity by differential weighting of additive factors. A procedure for estimating the model parameters for various data measurement characteristics is developed. The procedure is evaluated using both Monte Carlo and real data. The method is found to be very useful in describing certain types of developmental change in cognitive structure, as well as being numerically robust and efficient.

Keywords

additivity analysisindividual differencesoptimal scalingconjoint scaling
Type
Original Paper
Information
Psychometrika , Volume 45 , Issue 2 , June 1980 , pp. 183 - 209
Copyright
Copyright © 1980 The Psychometric Society

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Footnotes

The work reported here was partly supported by Grant A6394 to the first author by the Natural Sciences and Engineering Research Council of Canada.

References

Reference Notes

de Leeuw, J. Normalized cone regression approach to alternating least squares method. Unpublished manuscript. The University of Leiden, 1977.Google Scholar
Takane, Y. Statistical procedures for nonmetric multidimensional scaling. Unpublished doctoral dissertation. The University of North Carolina, 1977.Google Scholar

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