Abstract
A model and an associated nonmetric algorithm for multidimensional scaling of two-mode three-way asymmetric proximities or a set of proximity matrices, where each matrix can be asymmetric, is presented. The present model is extended from that of (1997), and can represent differences among sources both in symmetric and in asymmetric proximity relationships along each dimension. An application to intergenarational occupational mobility is presented.
Chapter PDF
Similar content being viewed by others
Keywords
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
References
Bove, G. and Rocci, R. (1999): Methods for Asymmetric Threeway Scaling. In: M. Vichi and O. Opitz (eds.): Classification and Data Analysis: Theory and Application (pp. 131–138). Springer, Berlin.
Carroll, J. D. (1985): [Review of Multidimensional Scaling]. Psychometrika, 50, 111–113.
Carroll, J. D. and Chang, J. J. (1970): Analysis of Individual Differences in Multidimensional Scaling via an N-way Generalization of ”Eckart-Young” Decomposition. Psychometrika, 35, 283–319.
DeSarbo, W. S., Johnson, M. D., Manrai, A. K., Manrai, L. A., and Edward, E. A. (1992): TSCALE: A New Multidimensional Scaling Procedure Based on Tversky’s Contrast Model. Psychometrika, 57, 43–69.
Harshman, R. A., Green, P. E., Wind, Y., and Lundy, M. E. (1982): A Model for the Analysis of Asymmetric Data in Marketing Research. Marketing Science, 1, 205–242.
Lipset, S. M. and Bendix, R. (1959): Social Mobility in Industrial Society, University of California Press, Berkeley, CA.
Okada, A. and Imaizumi, T. (1997): Asymmetric Multidimensional Scaling of Two-Mode Three-Way Proximities. Journal of Classification, 14, 195–224.
Seiyama, K., Naoi, A., Sato, Y., Tsuzuki, K., and Kojima, H. (1990): Stratification Structure of Contemporary Japan and its Trend. In: A. Naoi and K. Seiyama (eds.): Social Stratification in Contemporary Japan Vol. 1. Structure and Process of Social Stratification (pp. 15–50). Tokyo University Press, Tokyo.
Zielman, B. (1991): Three-Way Scaling of Asymmetric Proximities. Research Report RR91-01, Department of Data Theory, University of Leiden.
Zielman, B. and Heiser, W. J. (1993): Analysis of Asymmetry by a Slide-Vector. Psychmetrika, 58, 101–114.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2002 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Okada, A., Imaizumi, T. (2002). A Generalization of Two-mode Three-way Asymmetric Multidimensional Scaling. In: Gaul, W., Ritter, G. (eds) Classification, Automation, and New Media. Studies in Classification, Data Analysis, and Knowledge Organization. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-55991-4_12
Download citation
DOI: https://doi.org/10.1007/978-3-642-55991-4_12
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-43233-3
Online ISBN: 978-3-642-55991-4
eBook Packages: Springer Book Archive