cancor

From stats v3.2.5 by R-core R-core@R-project.org

Canonical Correlations

Compute the canonical correlations between two data matrices.

Keywords: multivariate

Usage

cancor(x, y, xcenter = TRUE, ycenter = TRUE)

Arguments

x: numeric matrix ($n * p1$), containing the x coordinates.
y: numeric matrix ($n * p2$), containing the y coordinates.
xcenter: logical or numeric vector of length $p1$, 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

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.\ifelse{latex}{\out{~}}{ } 506f.

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