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On the comparison of model-based clustering solutions

Author

Listed:
  • Stefano Tonellato

    (Department of Economics, University Of Venice C� Foscari)

  • Andrea Pastore

    (Department of Economics, University of Venice Ca' Foscari)

Abstract

In this paper we propose a new similarity index, which can be used to compare model-based clustering solutions. We define also an adjusted-for-chance version, although we advise that, whenever feasible, bootstrap replications should be preferred to chance-corrected similarity indices. We describe the properties of the proposed index and of its chance-corrected version. Finally, we present some applications on simulated and real data.

Suggested Citation

  • Stefano Tonellato & Andrea Pastore, 2013. "On the comparison of model-based clustering solutions," Working Papers 2013:05, Department of Economics, University of Venice "Ca' Foscari".
    • Handle: RePEc:ven:wpaper:2013:05
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    References listed on IDEAS

    as
    1. Chae, Seong S. & DuBien, Janice L. & Warde, William D., 2006. "A method of predicting the number of clusters using Rand's statistic," Computational Statistics & Data Analysis, Elsevier, vol. 50(12), pages 3531-3546, August.
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    3. James G.M. & Sugar C.A., 2003. "Clustering for Sparsely Sampled Functional Data," Journal of the American Statistical Association, American Statistical Association, vol. 98, pages 397-408, January.
    4. Fraley C. & Raftery A.E., 2002. "Model-Based Clustering, Discriminant Analysis, and Density Estimation," Journal of the American Statistical Association, American Statistical Association, vol. 97, pages 611-631, June.
    5. Lawrence Hubert & Phipps Arabie, 1985. "Comparing partitions," Journal of Classification, Springer;The Classification Society, vol. 2(1), pages 193-218, December.
    6. Ahmed N. Albatineh & Magdalena Niewiadomska-Bugaj & Daniel Mihalko, 2006. "On Similarity Indices and Correction for Chance Agreement," Journal of Classification, Springer;The Classification Society, vol. 23(2), pages 301-313, September.
    7. Matthijs Warrens, 2008. "On Similarity Coefficients for 2×2 Tables and Correction for Chance," Psychometrika, Springer;The Psychometric Society, vol. 73(3), pages 487-502, September.
    8. Michael Brusco & J. Cradit, 2001. "A variable-selection heuristic for K-means clustering," Psychometrika, Springer;The Psychometric Society, vol. 66(2), pages 249-270, June.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    similarity indices; Rand index; mixture models; bootstrap.;
    All these keywords.

    JEL classification:

    • C39 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Other
    • C46 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Specific Distributions
    • C49 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Other

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