Abstract
An individual differences model for multidimensional scaling is outlined in which individuals are assumed differentially to weight the several dimensions of a common “psychological space”. A corresponding method of analyzing similarities data is proposed, involving a generalization of “Eckart-Young analysis” to decomposition of three-way (or higher-way) tables. In the present case this decomposition is applied to a derived three-way table of scalar products between stimuli for individuals. This analysis yields a stimulus by dimensions coordinate matrix and a subjects by dimensions matrix of weights. This method is illustrated with data on auditory stimuli and on perception of nations.
Keywords
Multidimensional scalingGeneralizationScalingScalar (mathematics)MathematicsPerceptionMatrix (chemical analysis)PsychologyStatisticsMathematical analysisGeometry
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Publication Info
- Year
- 1970
- Type
- article
- Volume
- 35
- Issue
- 3
- Pages
- 283-319
- Citations
- 4628
- Access
- Closed
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Cite This
J. Douglas Carroll,
Jih-Jie Chang
(1970).
Analysis of Individual Differences in Multidimensional Scaling Via an N-way Generalization of “Eckart-Young” Decomposition.
Psychometrika
, 35
(3)
, 283-319.
https://doi.org/10.1007/bf02310791
Identifiers
- DOI
- 10.1007/bf02310791