Multidimensional Scaling of Asymmetric Distance MatricesMultidimensional Scaling of Asymmetric Distance Matrices
- Other Titles
- Multidimensional Scaling of Asymmetric Distance Matrices
- Authors
- 허명회; 이용구
- Issue Date
- 2012
- Publisher
- 한국통계학회
- Keywords
- Multidimensional scaling(MDS); similarity; asymmetric distance matrix; altitude model; social network analysis.
- Citation
- 응용통계연구, v.25, no.4, pp.613 - 620
- Indexed
- KCI
- Journal Title
- 응용통계연구
- Volume
- 25
- Number
- 4
- Start Page
- 613
- End Page
- 620
- URI
- https://scholar.korea.ac.kr/handle/2021.sw.korea/110577
- ISSN
- 1225-066X
- Abstract
- 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.
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Collections - College of Political Science & Economics > Department of Statistics > 1. Journal Articles
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