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ROOTCLUS: Searching for “ROOT CLUSters” in Three-Way Proximity Data

Author

Listed:
  • Laura Bocci

    (Sapienza University of Rome)

  • Donatella Vicari

    (Sapienza University of Rome)

Abstract

In the context of three-way proximity data, an INDCLUS-type model is presented to address the issue of subject heterogeneity regarding the perception of object pairwise similarity. A model, termed ROOTCLUS, is presented that allows for the detection of a subset of objects whose similarities are described in terms of non-overlapping clusters (ROOT CLUSters) common across all subjects. For the other objects, Individual partitions, which are subject specific, are allowed where clusters are linked one-to-one to the Root clusters. A sound ALS-type algorithm to fit the model to data is presented. The novel method is evaluated in an extensive simulation study and illustrated with empirical data sets.

Suggested Citation

  • Laura Bocci & Donatella Vicari, 2019. "ROOTCLUS: Searching for “ROOT CLUSters” in Three-Way Proximity Data," Psychometrika, Springer;The Psychometric Society, vol. 84(4), pages 941-985, December.
    • Handle: RePEc:spr:psycho:v:84:y:2019:i:4:d:10.1007_s11336-019-09686-1
    DOI: 10.1007/s11336-019-09686-1
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    References listed on IDEAS

    as
    1. Donatella Vicari & Maurizio Vichi, 2009. "Structural Classification Analysis of Three-Way Dissimilarity Data," Journal of Classification, Springer;The Classification Society, vol. 26(2), pages 121-154, August.
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    6. Laura Bocci & Donatella Vicari, 2017. "GINDCLUS: Generalized INDCLUS with External Information," Psychometrika, Springer;The Psychometric Society, vol. 82(2), pages 355-381, June.
    7. Henk Kiers, 1997. "A modification of the SINDCLUS algorithm for fitting the ADCLUS and INDCLUS models," Journal of Classification, Springer;The Classification Society, vol. 14(2), pages 297-310, September.
    8. Paolo Giordani & Henk Kiers, 2012. "FINDCLUS: Fuzzy INdividual Differences CLUStering," Journal of Classification, Springer;The Classification Society, vol. 29(2), pages 170-198, July.
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    10. Tom Wilderjans & Dirk Depril & Iven Mechelen, 2012. "Block-Relaxation Approaches for Fitting the INDCLUS Model," Journal of Classification, Springer;The Classification Society, vol. 29(3), pages 277-296, October.
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