Three‐mode principal component analysis and perfect congruence analysis for sets of covariance matrices

In this paper three‐mode principal component analysis and perfect congruence analysis for weights applied to sets of covariance matrices are explained and detailed, and the relationships between the two techniques are explored. It is shown that given several assumptions are made for three‐mode principal component analysis close links between the two techniques exist. The methods are illustrated with data pertaining to a theory of self‐concept.