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On quadripolar Robinson dissimilarity matrices

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New Approaches in Classification and Data Analysis

Summary

The class of quadripolar Robinson dissimilarity matrices is studied. The additive tree visual representation of such matrices is generally to be preferred. Local and global characterisations are described, as well as links between them. The local characterisation is given in terms of sub-matrices of order four. There are only three possible types of such sub-matrix and, allowing for a certain natural duality, only seven essentially different sub-matrices of order five. The global characterisation rests on the idea of connected external exchangeability. Visual displays are used for illustration throughout.

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References

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© 1994 Springer-Verlag Berlin Heidelberg

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Critchley, F. (1994). On quadripolar Robinson dissimilarity matrices. In: Diday, E., Lechevallier, Y., Schader, M., Bertrand, P., Burtschy, B. (eds) New Approaches in Classification and Data Analysis. Studies in Classification, Data Analysis, and Knowledge Organization. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-51175-2_9

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  • DOI: https://doi.org/10.1007/978-3-642-51175-2_9

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-58425-4

  • Online ISBN: 978-3-642-51175-2

  • eBook Packages: Springer Book Archive

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