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Multidimensional Scaling of Asymmetric Distance Matrices
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 Title & Authors
Multidimensional Scaling of Asymmetric Distance Matrices
Huh, Myung-Hoe; Lee, Yong-Goo;
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In most cases of multidimensional scaling(MDS), the distances or dissimilarities among units are assumed to be symmetric. Thus, it is not an easy task to deal with asymmetric distances. Asymmetric MDS developed so far face difficulties in the interpretation of results. This study proposes a much simpler asymmetric MDS, that utilizes the notion of "altitude". The analogy arises in mountaineering: It is easier (more difficult) to move from the higher (lower) point to the lower (higher). The idea is formulated as a quantification problem, in which the disparity of distances is maximally related to the altitude difference. The proposed method is demonstrated in three examples, in which the altitudes are visualized by rainbow colors to ease the interpretability of users.
Multidimensional scaling(MDS);similarity;asymmetric distance matrix;altitude model;social network analysis;
 Cited by
Visualizations for Matched Pairs Models Using Modified Correspondence Analysis,Lee, Chanyoon;Choi, Yong-Seok;

Communications for Statistical Applications and Methods, 2014. vol.21. 4, pp.275-284 crossref(new window)
비대칭 다차원척도법의 시각화,이수기;최용석;이보희;

응용통계연구, 2014. vol.27. 4, pp.619-627 crossref(new window)
Visualizations of Asymmetric Multidimensional Scaling, Korean Journal of Applied Statistics, 2014, 27, 4, 619  crossref(new windwow)
Visualizations for Matched Pairs Models Using Modified Correspondence Analysis, Communications for Statistical Applications and Methods, 2014, 21, 4, 275  crossref(new windwow)
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