# cancor

0th

Percentile

##### Canonical Correlations

Compute the canonical correlations between two data matrices.

Keywords
multivariate
##### Usage
cancor(x, y, xcenter = TRUE, ycenter = TRUE)
##### Arguments
x
numeric matrix ($n \times p_1$), containing the x coordinates.
y
numeric matrix ($n \times p_2$), containing the y coordinates.
xcenter
logical or numeric vector of length $p_1$, describing any centering to be done on the x values before the analysis. If TRUE (default), subtract the column means. If FALSE, do not adjust the columns. Otherwise, a vector of values to be subtracted from the columns.
ycenter
analogous to xcenter, but for the y values.
##### Details

The canonical correlation analysis seeks linear combinations of the y variables which are well explained by linear combinations of the x variables. The relationship is symmetric as ‘well explained’ is measured by correlations.

##### Value

A list containing the following components:

cor
correlations.
xcoef
estimated coefficients for the x variables.
ycoef
estimated coefficients for the y variables.
xcenter
the values used to adjust the x variables.
ycenter
the values used to adjust the x variables.

##### References

Becker, R. A., Chambers, J. M. and Wilks, A. R. (1988) The New S Language. Wadsworth & Brooks/Cole. Hotelling H. (1936). Relations between two sets of variables. Biometrika, 28, 321--327. Seber, G. A. F. (1984). Multivariate Observations. New York: Wiley, p. 506f.

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