 
Summary: In Neil Salkind (Ed.), Encyclopedia of Research Design.
Thousand Oaks, CA: Sage. 2010
Conguence:
Congruence coefficient,
RV coefficient,
and
Mantel coefficient
Herv´e Abdi
1 Overview
The congruence between two configurations of points quantifies their
similarity. The configurations to be compared are, in general, pro
duced by factor analytic methods which decompose an "observations
by variables" data matrix and produce one set of factor scores for
the observations and one set of factor scores (i.e., the "loadings")
for the variables. The congruence between two sets of factor scores
collected on the same units (which can be observations or variables)
measures the similarity between these two sets of scores. If, for exam
ple, two different types of factor analysis are performed on the same
data set, the congruence between the two solutions is evaluated by
the similarity of the configurations of the factor scores produced by
