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

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

Published Online: 28 JAN 2008

DOI: 10.1002/9780470723562.ch14

Symbolic Data Analysis and the SODAS Software

Symbolic Data Analysis and the SODAS Software

How to Cite

Bertrand, P. and Bel Mufti, G. (2007) 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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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