Chapter 14. Stability Measures for Assessing a Partition and its Clusters: Application to Symbolic Data Sets

  1. Edwin Diday3,
  2. Monique Noirhomme-Fraiture4
  1. Patrice Bertrand1,
  2. Ghazi Bel Mufti2

Published Online: 28 JAN 2008

DOI: 10.1002/9780470723562.ch14

Book Title

Symbolic Data Analysis and the SODAS Software

Symbolic Data Analysis and the SODAS Software

Additional Information

How to Cite

Bertrand, P. and Bel Mufti, G. (2008) Stability Measures for Assessing a Partition and its Clusters: Application to Symbolic Data Sets, in Symbolic Data Analysis and the SODAS Software (eds E. Diday and M. Noirhomme-Fraiture), John Wiley & Sons, Ltd, Chichester, UK. doi: 10.1002/9780470723562.ch14

Editor Information

  1. 3

    Université Paris IX-Dauphine, LISE-CEREMADE, Place du Marechal de Lattre de Tassigny, Paris Cedex 16, France F-75775

  2. 4

    Facultés Universitaires Notre-Dame de la Paix, Faculté d'Informatique, Rue Grandgagnage, 21, Namur, Belgium, B-5000

Author Information

  1. 1

    Ceremade, Université Paris IX-Dauphine, Place du Maréchal de Lattre de Tassigny, Paris Cedex 16, France, F-75775

  2. 2

    ESSEC de Tunis, 4 rue Abou Zakaria El Hafsi, Montfleury 1089, Tunis, Tunisia

Publication History

  1. Published Online: 28 JAN 2008
  2. Published Print: 18 JAN 2007

ISBN Information

Print ISBN: 9780470018835

Online ISBN: 9780470723562

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CHAPTER TOOLS

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Keywords:

  • stability-based method;
  • cluster validation;
  • multi-valued variables and interval-valued variables;
  • stability measures;
  • cluster isolation and cluster cohesion;
  • proportionate sampling scheme;
  • multivariate normal distribution;
  • variance–covariance matrix;
  • partial membership;
  • membership resemblance

Summary

This chapter contains sections titled:

  • Introduction

  • Stability measures

  • The case of a homogeneous data set

  • The interpretation of the stability measures

  • Application to real data sets

  • References

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