A clusterwise simultaneous component method for capturing within-cluster differences in component variances and correlations.
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.
Department of Educational Sciences, Katholieke Universiteit Leuven, B-3000 Leuven, Belgium. Kim.DeRoover@ppw.kuleuven.be
Kim
K
De Roover
Eva
E
Ceulemans
Marieke E
ME
Timmerman
Patrick
P
Onghena
D000374:Aggression / Q000523:psychology; D000465:Algorithms; D000704:Analysis of Variance; D002648:Child; D016000:Cluster Analysis; D036262:Empirical Research; D006379:Helping Behavior; D006801:Humans; D025341:Principal Component Analysis / Q000379:methods*; D011594:Psychometrics / Q000706:statistics & numerical data; D012931:Social Environment