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Analysis of Individual Differences in Multidimensional Scaling Via an N-way Generalization of “Eckart-Young” Decomposition
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.
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Metadata
- Authors
- Carroll, J. D., & Chang, J.-J.
- Venue
- Psychometrika
- Publisher
- Cambridge University Press (CUP)
- Published
- 1970-09
- Volume
- 35
- Issue
- 3
- Pages
- 283-319
- ISSN
- 0033-3123 (ISSN-L)
- 1860-0980
- OpenAlex
- W2000215628
- Cited by
- 4,678
- References
- 0
- FWCI
- 34.03
- Type
- journal article
- Language
- en
- Open access
- closed
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