SimpleProcrustes function

Simple Procrustes Analysis

Simple Procrustes Analysis for two matrices

SimpleProcrustes(X, Y, centre = FALSE)

Arguments

• X: Matrix of the first configuration.
• Y: Matrix of the second configuration.
• centre: Should the matrices be centred before the calculations?

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

Returns

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

References

Ingwer Borg, I. & Groenen, P. J.F. (2005). Modern Multidimensional Scaling. Theory and Applications. Second Edition. Springer

Author(s)

Jose Luis Vicente-Villardon

See Also

PrincipalCoordinates

Examples

data(spiders)