stats (version 3.3.3)

cancor: Canonical Correlations

Description

Compute the canonical correlations between two data matrices.

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.

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.

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.

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.

See Also

qr, svd.