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http://dx.doi.org/10.5351/KJAS.2014.27.4.619

Visualizations of Asymmetric Multidimensional Scaling  

Lee, Su-Gi (Department of Statistics, Pusan National University)
Choi, Yong-Seok (Department of Statistics, Pusan National University)
Lee, Bo-Hui (Department of Statistics, Pusan National University)
Publication Information
The Korean Journal of Applied Statistics / v.27, no.4, 2014 , pp. 619-627 More about this Journal
Abstract
Distances or dissimilarities among units are assumed to be symmetric in most cases of multidimensional scaling(MDS); consequently, it is not an easy task to deal with asymmetric distances. Current asymmetric MDS still face difficulties in the interpretation of results. This study proposes a simpler asymmetric MDS that utilizes the order statistic of an asymmetric matrix. The proposed Web method demonstrates that some influences among objects are visualized by direction, size and shape of arrow to ease the interpretability of users.
Keywords
Multidimensional scaling; asymmetric matrix; Web method;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
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1 Choi, Y. S. (2014). Walk in Multidimensional Scaling -SAS/MDS, SAS/IML and R-, Free Academy, Gyeonggi-do.
2 Cox, T. F. and Cox, M. A. A. (2001). Multidimensional Scaling, Second Edition, Chapman & Hall/CRC, Boca Raton.
3 Everitt, B. S. and Dunn, G. (1991). Applied Multivariate Data Analysis, Edward Arnold, London.
4 Oh, M. S. and Raftery, A. E. (2001). Bayesian multidimensional scaling and choice of dimension, Journal of the American Statistical Association, 96, 1031-1044.   DOI
5 Huh, M. H. and Lee, Y. G. (2012). Multidimensional scaling of asymmetric distance matrices, The Korean Journal of Applied Statistics, 25, 613-620.   과학기술학회마을   DOI   ScienceOn
6 Kruskal, J. B. (1964). Multidimensional scaling by optimizing goodness-of-fit to a nonmetric hypothesis, Psychometrika, 29, 1-27.   DOI   ScienceOn
7 Ramsay, J. O. (1982). Some statistical approaches to multidimensional scaling data, Journal of Royal Statistical Society, 145, 285-312.   DOI
8 Shepard, R. N. (1962). The analysis of prosimities: Multidimensional scaling with an unknown distance function. I and II, Psychometrika, 27, 125-140, 219-246.   DOI
9 Torgerson, W. S. (1952). Multidimesional scaling: I. Theory and Method, Psychometrika, 17, 401-419.   DOI   ScienceOn
10 Haiyan, L. (2005). Data visualization of asymmetric data using sammon mapping and applications of selforganizing maps, Digital Repository, University of Maryland.