Canonical correspondence analysis technique

Stull R (1989) An Introduction to Boundary Layer Meteorology. Kluwer Academic Publ. ter Braak CJF (1986) Canonical correspondence analysis A new eigenvector technique for multivariate direct gradient analysis. Ecology 67 1167-1179... 

Sometimes canonical correlation or canonical analysis is referred to as a central technique with factor and correspondence analysis considered in one branch (having no causal concepts) and multivariate regression and discriminant analysis in the other branch (based on causal concepts). 

Because of the aforementioned EDA hypotheses, the ellipses of different categories present equal eccentricity and axis orientation they only differ for their location in the plane. By coimecting the intersection points of each couple of corresponding ellipses, a straight line is identified which corresponds to the delimiter between the two classes (see Eig. 2.15B). Eor this reason, this technique is called linear discriminant analysis. The directions which maximize the separation between classes are called EDA canonical variables. 

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