A clusterwise simultaneous component method for capturing within-cluster differences in component variances and correlations

Kim De Roover*, Eva Ceulemans, Marieke E. Timmerman, Patrick Onghena

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

22 Citations (Scopus)
24 Downloads (Pure)


This paper presents a clusterwise simultaneous component analysis for tracing structural differences and similarities between data of different groups of subjects. This model partitions the groups into a number of clusters according to the covariance structure of the data of each group and performs a simultaneous component analysis with invariant pattern restrictions (SCA-P) for each cluster. These restrictions imply that the model allows for between-group differences in the variances and the correlations of the cluster-specific components. As such, clusterwise SCA-P is more flexible than the earlier proposed clusterwise SCA-ECP model, which imposed equal average cross-products constraints on the component scores of the groups that belong to the same cluster. Using clusterwise SCA-P, a finer-grained, yet parsimonious picture of the group differences and similarities can be obtained. An algorithm for fitting clusterwise SCA-P solutions is presented and its performance is evaluated by means of a simulation study. The value of the model for empirical research is illustrated with data from psychiatric diagnosis research.

Original languageEnglish
Pages (from-to)81-102
Number of pages22
JournalBritish Journal of Mathematical and Statistical Psychology
Issue number1
Publication statusPublished - Feb 2013
Externally publishedYes



Cite this