Comparison of Variance - Covariance Patterns
Between-group covariance matrix
Group covariance matrices
Within-group covariance matrix
Difference test for successive relative eigenvalues
Euclidean distance between two covariance matrices
Squared distance matrix
Matrix pseudoinverse
Principal coordinates ordination
Proportionality test of two variance-covariance matrices
Relative eigenanalysis
Ratio of generalized variances
Scaling factor between two matrices
Comparison of variance - covariance patterns using relative principal component analysis (relative eigenanalysis), as described in Le Maitre and Mitteroecker (2019) <doi:10.1111/2041-210X.13253>. Also provides functions to compute group covariance matrices, distance matrices, and perform proportionality tests. A worked sample on the body shape of cichlid fishes is included, based on the dataset from Kerschbaumer et al. (2013) <doi:10.5061/dryad.fc02f>.