Interpreting canonical correlation analysis through biplots of stucture correlations and weights

This paper extends the biplot technique to canonical correlation analysis and redundancy analysis. The plot of structure correlations is shown to the optimal for displaying the pairwise correlations between the variables of the one set and those of the second. The link between multivariate regression and canonical correlation analysis/redundancy analysis is exploited for producing an optimal biplot that displays a matrix of regression coefficients. This plot can be made from the canonical weights of the predictors and the structure correlations of the criterion variables. An example is used to show how the proposed biplots may be interpreted.

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Bibliographic Details
Main Author: ter Braak, C.J.F.
Format: Article/Letter to editor biblioteca
Language:English
Subjects:biplot, canonical correlation analysis, canonical weight, interbattery factor analysis, partial analysis, reduced rank regression, redundancy analysis, regression coefficient, structure correlations,
Online Access:https://research.wur.nl/en/publications/interpreting-canonical-correlation-analysis-through-biplots-of-st
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