ProcrustesSimple: Simple Procrustes Analysis

In PERMANOVA: Multivariate Analysis of Variance Based on Distances and Permutations

Description

Simple Procrustes Analysis for two matrices

Usage

ProcrustesSimple(X, Y, centre = FALSE)

Arguments

X	Matrix of the first configuration.
Y	Matrix of the second configuration.
centre	Should the matrices be centered 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

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 explained variance.
correlations	Correlations among the columns of X and Z.

Author(s)

Jose Luis Vicente-Villardon

References

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

PERMANOVA documentation built on Sept. 6, 2021, 5:07 p.m.