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Between-Group Metrics

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Abstract

In canonical analysis with more variables than samples, it is shown that, as well as the usual canonical means in the range-space of the within-groups dispersion matrix, canonical means may be defined in its null space. In the range space we have the usual Mahalanobis metric; in the null space explicit expressions are given and interpreted for a new metric.

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References

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Authors and Affiliations

  1. Department of Mathematics and Statistics, The Open University, Walton Hall, Milton Keynes, MK7 6AA, United Kingdom

    John C. Gower

  2. Department of Psychometrics and Statistics, University of Groningen, Grote Kruisstraat 2/1, 9712 TS, Groningen, The Netherlands

    Casper J. Albers

Authors
  1. John C. Gower
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  2. Casper J. Albers
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Correspondence to John C. Gower.

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Gower, J.C., Albers, C.J. Between-Group Metrics. J Classif 28, 315–326 (2011). https://doi.org/10.1007/s00357-011-9090-z

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  • DOI: https://doi.org/10.1007/s00357-011-9090-z

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