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Proximity Matrix Reorganization and Hierarchical Clustering

Author

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  • L J Hubert

    (Department of Education, University of California at Santa Barbara, Santa Barbara, CA 93106, USA)

  • R G Golledge
  • G D Richardson

Abstract

Connections between hierarchical clustering and the sedation of objects along a continuum that depend on the patterning of entries in a proximity matrix are pointed out. Based on the similarity between the central notion of an ultrametric in hierarchical clustering and what is called an anti-Robinson property in sedation, it is suggested that the two data-analysis procedures are compatible. Indeed, preliminary seriation of a proximity matrix may help verify the adequacy of the results obtained from a hierarchical clustering or suggest alternatives that may be better. A numerical example using data from the area of criminal justice completes the paper.

Suggested Citation

  • L J Hubert & R G Golledge & G D Richardson, 1982. "Proximity Matrix Reorganization and Hierarchical Clustering," Environment and Planning A, , vol. 14(2), pages 195-203, February.
    • Handle: RePEc:sae:envira:v:14:y:1982:i:2:p:195-203
    DOI: 10.1068/a140195
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    References listed on IDEAS

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    1. Eric Holman, 1972. "The relation between hierarchical and euclidean models for psychological distances," Psychometrika, Springer;The Psychometric Society, vol. 37(4), pages 417-423, December.
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