Abstract
Skew-symmetric data matrices can be represented in graphical displays in different ways. Some simple procedures that can be easily performed by standard software will be proposed and applied in this communication. Other methods based on spatial models that need ad hoc computational programs will be also reviewed emphasizing advantages and disadvantages in their applications.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Borg, I., & Groenen, P. J. F. (2005). Modern multidimensional scaling. Theory and applications. Second edition. New York: Springer.
Bove, G. (2006). Approaches to asymmetric multidimensional scaling with external information. In S. Zani & A. Cerioli, et al. (Eds.), Data analysis, classification and the forward search (pp. 69–76). Berlin: Springer Verlag.
Bove, G. (2010). Methods for the analysis of Skew-symmetry in asymmetric multidimensional scaling. In H. Locarek-Junge & C. Weihs (Eds.), Classification as a tool for research. Studies in classification, data analysis, and knowledge organization (pp. 271–278). Berlin: Springer Verlag.
Gower, J. C. (1977). The analysis of asymmetry and orthogonality. In J. R. Barra, et al. (Ed.), Recent developments in statistics (pp. 109–123). Amsterdam: North Holland.
Mosteller, F. (1951). Remarks on the method of pair comparisons: I. the least squares solution assuming equal standard deviation and equal correlations. Psychometrika, 16, 3–9.
Okada, A., & Imaizumi, T. (1987). Non metric multidimensional scaling of asymmetric similarities. Behaviormetrika, 21, 81–96.
Rocci, R., & Bove, G. (2002). Rotation techniques in asymmetric multidimensional scaling. Journal of Computational and Graphical Statistics, 11, 405–419.
Takane, Y. (2005). Scaling asymmetric tables. In B. Everitt & D. Howell (Eds.), Encyclopedia of statistics for behavioral sciences (pp. 1787–1790). Chichester: Wiley.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2011 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Bove, G. (2011). Analysis of Skew-Symmetry in Proximity Data. In: Ingrassia, S., Rocci, R., Vichi, M. (eds) New Perspectives in Statistical Modeling and Data Analysis. Studies in Classification, Data Analysis, and Knowledge Organization. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-11363-5_23
Download citation
DOI: https://doi.org/10.1007/978-3-642-11363-5_23
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-11362-8
Online ISBN: 978-3-642-11363-5
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)