Two-Mode Three-Way Asymmetric Multidimensional Scaling with Constraints on Asymmetry

  • A. Okada
  • T. Imaizumi
Part of the Studies in Classification, Data Analysis, and Knowledge Organization book series (STUDIES CLASS)


A model and an accompanying algorithm for two-mode three-way asymmetric multidimensional scaling is presented. The present model has a constraint on asymmetry, compared with the model of Okada, Imaizumi (1997) where each source has a different magnitude of asymmetry, but all sources are constrained so that the relative importance of the asymmetry along dimensions is constant for all sources. The accompanying nonmetric algorithm was developed from similar work in Okada, Imaizumi (1997). An application to interpersonal attraction data among university students is presented.


Present Model Multidimensional Scaling Proximity Matrix Interpersonal Attraction Fraternity Data 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2000

Authors and Affiliations

  • A. Okada
    • 1
  • T. Imaizumi
    • 2
  1. 1.Department of Industrial RelationsSchool of Social Relations Rikkyo (St. Paul’s) UniversityToshima-kuJapan
  2. 2.Tama UniversityTama CityJapan

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