MCMCglmm (version 1.06)

krzanowski.test: Krzanowski's Comparison of Subspaces

Description

Calculates statistics of Krzanowski's comparison of subspaces.

Usage

krzanowski.test(CA, CB, vecsA, vecsB, corr = FALSE, ...)

Arguments

CA

Matrix A

CB

Matrix B

vecsA

Vector of integers indexing the eigenvectors determining the subspace of A

vecsB

Vector of integers indexing the eigenvectors determining the subspace of B

corr

logical; if TRUE the variances of A and B are standardised

...

further arguments to be passed

Value

• sumofS
  metric for overall similarity with 0 indicting no similarity and a value of length(vecsA) for identical subspaces
• angles
  angle in degrees between each best matched pair of vectors
• bisector
  vector that lies between each best matched pair of vectors

References

Krzanowski, W.J. (2000) Principles of Multivariate Analysis. OUP

Examples

CA<-rIW(10, diag(5), n=1)
CB<-rIW(10, diag(5), n=1)
krzanowski.test(CA, CB, vecsA=1:2, vecsB=1:2)
krzanowski.test(CA, CA, vecsA=1:2, vecsB=1:2)