Joint Space Model for Multidimensional Scaling of Two-Mode Three-Way Asymmetric Proximities

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


A joint space model and an associated nonmetric algorithm to analyze two-mode three-way asymmetric proximities (object × object × source) are presented. Each object is represented as a point and a circle (sphere, hyper sphere) in the common joint configuration which is common to all sources. Each source is represented as a point in the common joint configuration. For each source, the radius of an object is stretched or shrunk according to the distance between the dominance point representing the source and the point representing the object. An application to intergenerational occupational mobility data is shown.


Multidimensional Scaling Occupational Category Nonmetric Multidimensional Scaling Orthogonal Rotation Joint Configuration 
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Copyright information

© Springer-Verlag Berlin · Heidelberg 2005

Authors and Affiliations

  • Akinori Okada
    • 1
  • Tadashi Imaizumi
    • 2
  1. 1.Department of Industrial Relations, School of Social RelationsRikkyo (St. Paul’s) UniversityTokyoJapan
  2. 2.School of Management and Information SciencesTama UniversityTama city, TokyoJapan

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