Procrustean co-inertia analysis for the linking of multivariate data sets. Dray, S., Chessel, D., & Thioulouse, J. Ecoscience, 10(1):110-119, 2003. abstract bibtex 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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title = {Procrustean co-inertia analysis for the linking of multivariate data sets},
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year = {2003},
pages = {110-119},
volume = {10},
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short_title = {Procrustean co-inertia analysis for the linking of},
private_publication = {false},
abstract = {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.},
bibtype = {article},
author = {Dray, Stéphane and Chessel, D and Thioulouse, J},
journal = {Ecoscience},
number = {1},
keywords = {Co-Inertie,Procuste,distance}
}
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