## Dray S., Chessel D., Thioulouse J. (2003).
*Procrustean co-inertia analysis for the linking of
multivariate data sets*.
Ecoscience, 10(1):110--119.

Procrustes analysis is a method for fitting a set of
points to another. These two sets of points are often
defined by the measurements of two sets of variables for
the same individuals (e.g., measurements of species
abundances and environmental variables at the same sites).
We present a solution for graphical representation of the
results of procrustes analysis when the number of variables
in each of the two datasets exceeds two. This method is
named procrustean co-inertia analysis because it is based
on the joint use of procrustes analysis and co-inertia
analysis, which is a coupling method for finding linear
combinations of two sets of variables of maximal
covariance. It provides better graphical representation of
the concordance between the two datasets than classical
co-inertia analysis. Moreover, distance matrices can be
introduced in the analysis to improve its ecological
meaning. Lastly, a randomization test equivalent to PROTEST
is proposed as an alternative to the Mantel test. An
ecological example is presented to illustrate the method.

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