R: Procrustes Similarity Index

PSI {MatrixCorrelation} | R Documentation

## Procrustes Similarity Index

### Description

An index based on the RV coefficient with Procrustes rotation.

### Usage

    PSI(X1, X2, center = TRUE)

### Arguments

`X1` | first `matrix` to be compared (`data.frames` are also accepted).
`X2` | second `matrix` to be compared (`data.frames` are also accepted).
`center` | `logical` indicating if input matrices should be centered (default = TRUE).

### Value

The Procrustes Similarity Index

### References

Sibson, R; 1978. "Studies in the Robustness of Multidimensional Scaling: Procrustes Statistics". Journal of the Royal Statistical Society. Series B (Methodological), Vol. 40, No. 2, pp. 234-238.

### Examples

    X1  <- scale( matrix( rnorm(100*300), 100,300), scale = FALSE)
    usv <- svd(X1)
    X2  <- usv$u[,-3] %*% diag(usv$d[-3]) %*% t(usv$v[,-3])
    PSI(X1,X2)

[Package MatrixCorrelation version 0.9.5 Index]