Skip Navigation

The Computer Journal 1998 41(8):566-577; doi:10.1093/comjnl/41.8.566
© 1998 by British Computer Society
This Article
Right arrow Full Text (PDF)
Right arrow Alert me when this article is cited
Right arrow Alert me if a correction is posted
Services
Right arrow Email this article to a friend
Right arrow Similar articles in this journal
Right arrow Similar articles in ISI Web of Science
Right arrow Alert me to new issues of the journal
Right arrow Add to My Personal Archive
Right arrow Download to citation manager
Right arrow Search for citing articles in:
ISI Web of Science (3)
Right arrowRequest Permissions
Google Scholar
Right arrow Articles by Hubert, L.
Right arrow Articles by Meulman, J.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

The Representation of Symmetric Proximity Data: Dimensions and Classifications

L. Hubert1, P. Arabie2 and J. Meulman3

1 Department of Psychology, The University of Illinois, 603 East Daniel Street, Champaign, IL 61820, USA Email: lhubert{at}s.psych.uiuc.edu, 2 Faculty of Management, Rutgers University, Newark, NJ, USA, 3 Department of Education, Data Theory Group, Leiden University, The Netherlands

A review is given for the data analysis task of representing a symmetric proximity matrix, defined for some object set, by a sum of matrices each having the restrictive anti-Robinson (AR) form. An emphasis is placed on the inclusion of an optimal monotonic transformation of the given proximity matrix and what each AR component of an additive decomposition might be depicting by imposing further restrictions to obtain approximating matrices that are strongly AR, or that provide unidimensional scales or ultrametrics. Three published data sets are used to illustrate the process of constructing the initial decomposition and then giving a substantive interpretation subsequently for each of the terms in the fitted sum. An extension to circular anti-Robinson (CAR) matrices is also discussed briefly and illustrated, along with further restrictions to circular unidimensional scales and circular strongly AR forms.


Add to CiteULike CiteULike   Add to Connotea Connotea   Add to Del.icio.us Del.icio.us    What's this?




Disclaimer:
Please note that abstracts for content published before 1996 were created through digital scanning and may therefore not exactly replicate the text of the original print issues. All efforts have been made to ensure accuracy, but the Publisher will not be held responsible for any remaining inaccuracies. If you require any further clarification, please contact our Customer Services Department.