SimpleProcrustes: Simple Procrustes Analysis
Description
Simple Procrustes Analysis for two matrices
Usage
SimpleProcrustes(X, Y, centre = FALSE)
Value
An object of class Procrustes.This has components:
- X
First Configuration
- Y
Second Configuration
- Yrot
Second Configuration after the transformation
- T
Rotation Matrix
- t
Translation Vector
- s
Scale Factor
- rsss
Residual Sum of Squares
- fit
Goodness of fit as percent of expained variance
- correlations
Correlations among the columns of X and Z
Arguments
- X
Matrix of the first configuration.
- Y
Matrix of the second configuration.
- centre
Should the matrices be centred before the calculations?
Author
Jose Luis Vicente-Villardon
Details
Orthogonal Procrustes Analysis for two configurations X and Y.
The first configuration X is used as a reference and the second,
Y, is transformed to match the reference as much as possible.
X = s Y T + 1t +E = Z + E
References
Ingwer Borg, I. & Groenen, P. J.F. (2005). Modern Multidimensional Scaling. Theory and Applications. Second Edition. Springer