Chapter 15. Cluster Analysis

  1. Clemens Reimann M.Sc. in Mineralogy and Petrology, Ph.D. in Geosciences, D.Sc. in Applied Geochemistry lecturer senior geochemist director professor chairman acting vice president associate editor1,
  2. Peter Filzmoser Applied Mathematics visiting professor2,
  3. Robert G. Garrett Mining Geology and Applied Geochemistry Emeritus Scientist3,
  4. Rudolf Dutter M.Sc., Ph.D. senior statistician full professor post-doctoral fellow2

Published Online: 18 APR 2008

DOI: 10.1002/9780470987605.ch15

Book Title

Statistical Data Analysis Explained: Applied Environmental Statistics with R

Statistical Data Analysis Explained: Applied Environmental Statistics with R

Additional Information

How to Cite

Reimann, C., Filzmoser, P., Garrett, R. G. and Dutter, R. (2008) Cluster Analysis, in Statistical Data Analysis Explained: Applied Environmental Statistics with R, John Wiley & Sons, Ltd, Chichester, UK. doi: 10.1002/9780470987605.ch15

Author Information

  1. 1

    Geological Survey of Norway, Norway

  2. 2

    Vienna University of Technology, Austria

  3. 3

    Geological Survey of Canada, Canada

Publication History

  1. Published Online: 18 APR 2008
  2. Published Print: 4 APR 2008

ISBN Information

Print ISBN: 9780470985816

Online ISBN: 9780470987605

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CHAPTER TOOLS

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Keywords:

  • cluster analysis - geochemical and environmental data;
  • PCA, FA and correlation matrix;
  • rock geochemistry - “major”, “minor”, “trace” elements;
  • applied geochemical data and censored value;
  • clustering methods - fuzzy clustering;
  • hierarchical clustering methods;
  • model-based (Mclust) clustering;
  • clustering samples and clustering variables;
  • cluster validity evaluation

Summary

This chapter contains sections titled:

  • Possible data problems in the context of cluster analysis

  • Distance measures

  • Clustering samples

  • Clustering variables

  • Evaluation of cluster validity

  • Selection of variables for cluster analysis

  • Summary

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