Clustering of variables around latent components. (English) Zbl 1100.62582

Summary: Clustering of variables around latent components is investigated as a means to organize multivariate data into meaningful structures. The coverage includes (i) the case where it is desirable to lump together correlated variables no matter whether the correlation coefficient is positive or negative; (ii) the case where negative correlation shows high disagreement among variables; (iii) an extension of the clustering techniques which makes it possible to explain the clustering of variables taking account of external data. The strategy basically consists in performing a hierarchical cluster analysis, followed by a partitioning algorithm. Both algorithms aim at maximizing the same criterion which reflects the extent to which variables in each cluster are related to the latent variable associated with this cluster. Illustrations are outlined using real data sets from sensory studies.


62H30 Classification and discrimination; cluster analysis (statistical aspects)


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[1] Abdallah H., Revue de Statistique Appliquée pp 5– (1998)
[2] DOI: 10.1081/SAC-100002371 · Zbl 1008.62613
[3] DOI: 10.1080/757584614
[4] ESN. 1996. ”A European Sensory and Consumer Study: A Case Study on Coffee”. Published by the European Sensory Network.
[5] DOI: 10.1111/j.1745-459X.1988.tb00428.x
[6] DOI: 10.2307/2291207 · Zbl 0793.62034
[7] Greenhoff, K. and MacFie, H. J. H. 1994. ”Preference mapping in practice. Measurement of Food Preferences”. Edited by: Macfie, H. J. H. and Thomson, D. M. H. 137–166. London: Blackie Academic & Professional.
[8] DOI: 10.1016/S0169-7439(01)00203-9
[9] DOI: 10.2307/2985919
[10] DOI: 10.2307/2346488
[11] DOI: 10.2307/2347842
[12] DOI: 10.2307/1268108 · Zbl 0548.62037
[13] DOI: 10.1016/S0950-3293(97)00008-6
[14] Qannari E. M., Revue de Statistique Appliquée pp 21– (1998)
[15] SAS/STAT, User’s Guide, Version 6, Vol. 2. Cary pp 1641– (1990)
[16] DOI: 10.1080/03610919908813588 · Zbl 0968.62522
[17] DOI: 10.1111/1467-9876.00204 · Zbl 0965.62052
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