Patrick Arnold <[email protected]> ha scritto:

Dear all,

I am looking for patterns of integration between 3 substructures. I subjected the procrustes variables to pair-wise PLS analyses and received 3 RV values. Does the highest RV value correspond to the strongest integration or are RVs from different PLSs not comparable? Is their any possibility to perform a PLS on 3 structures simultaneously?


Dear Patrick,
yes, there are approaches to perform PLS on multiple blocks (see Bookstein et al. 2003 - Journal of Human Evolution; also search for "multi-block PLS"). A multi-set RV coefficient has been also proposed by Klingenberg (2009 - Evolution and Development) as the average of the pairwise RV coefficients.

The value of the RV coefficient also depends on sample size (Fruciano et al. 2013 - PLoS One) so comparisons of the value itself across datasets with different number of observations are inappropriate, unless this is taken into account (please, see the paper for details).

Please, also note that, although you might find them mentioned together for convenience, partial least squares analysis and the Escoufier RV coefficient are distinct things.

Best,
Carmelo



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Carmelo Fruciano
Honorary Fellow - University of Catania - Catania, Italy
e-mail [email protected]
http://www.fruciano.it/research/

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