# krzanowski.test

From MCMCglmm v2.29
by Jarrod Hadfield

##### Krzanowski's Comparison of Subspaces

Calculates statistics of Krzanowski's comparison of subspaces.

- Keywords
- multivariate

##### 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

metric for overall similarity with 0 indicting no similarity and
a value of `length(vecsA)`

for identical subspaces

angle in degrees between each best matched pair of vectors

vector that lies between each best matched pair of vectors

##### References

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

##### Examples

```
# NOT RUN {
CA<-rIW(diag(5),10, n=1)
CB<-rIW(diag(5),10, n=1)
krzanowski.test(CA, CB, vecsA=1:2, vecsB=1:2)
krzanowski.test(CA, CA, vecsA=1:2, vecsB=1:2)
# }
```

*Documentation reproduced from package MCMCglmm, version 2.29, License: GPL (>= 2)*

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