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Visualizations of Asymmetric Multidimensional Scaling

비대칭 다차원척도법의 시각화

  • 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)
  • Received : 2014.06.02
  • Accepted : 2014.07.24
  • Published : 2014.08.31

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.

다차원척도법(MDS)에서는 대게 개체간의 거리나 유사성이 대칭성을 따른다. 따라서 비대칭 거리를 다루기는 쉽지 않다. 통용되고 있는 비대칭 다차원척도법도 여전히 결과를 해석하는데 어려움이 있다. 본 연구는 비대칭행렬의 순서 통계량을 활용하여 더 간단한 비대칭 대차원척도법을 제안한다. 제안된 웹(Web) 방법은 개체간의 영향력을 사용자들이 해석을 쉽게 하도록 화살표의 방향크기와 모양에 따라 시각화하여 보여준다.

Keywords

References

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