Generalized canonical correlation
statistics, the generalized canonical correlationanalysis (gCCA), is a way of making sense of cross-correlationmatrices between the sets of random variables when there are more than two sets. It is a generalization of the Principal component analysis(PCA) to more than two sets of random variables like a conventional CCA also does the same thing for only two sets. The canonical variables represent those common factors that can be found by a large PCA of all of the transformed random variables after each set underwent its own PCA.
Helmert-Wolf blocking(HWB) method of estimating linear regressionparameters can find an optimal solution only if all cross-correlations between the data blocks are zero. They can always be made to vanish by introducing a new regression parameter for each common factor. The gCCA method can be used for finding those harmful common factors that create cross-correlation between the blocks. However, no optimal HWB solution exists if the random variables do not contain enough information on all of the new regression parameters.
* [http://factominer.free.fr/ FactoMineR] (free exploratory multivariate data analysis software linked to R)
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