redundancy: Canonical Redundancy Analysis

In candisc: Visualizing Generalized Canonical Discriminant and Canonical Correlation Analysis

Description

Calculates indices of redundancy (Stewart & Love, 1968) from a canonical correlation analysis. These give the proportion of variances of the variables in each set (X and Y) which are accounted for by the variables in the other set through the canonical variates.

Usage

redundancy(object, ...)

## S3 method for class 'cancor.redundancy'
print(x, digits = max(getOption("digits") - 3, 3), ...)

Arguments

object	A "cancor" object
x	A "cancor.redundancy" for the print method.
digits	Number of digits to print
...	Other arguments

Details

None yet.

Value

An object of class "cancor.redundancy", a list with the following 5 components:

Xcan.redun	Canonical redundancies for the X variables, i.e., the total fraction of X variance accounted for by the Y variables through each canonical variate.
Ycan.redun	Canonical redundancies for the Y variables
X.redun	Total canonical redundancy for the X variables, i.e., the sum of Xcan.redun.
Y.redun	Total canonical redundancy for the Y variables
set.names	names for the X and Y sets of variables

Author(s)

Michael Friendly

References

Stewart, D. and Love, W. (1968). A general canonical correlation index. Psychological Bulletin, 70, 160-163.

See Also

cancor, ~~~

Examples

	data(Rohwer, package="heplots")
X <- as.matrix(Rohwer[,6:10])  # the PA tests
Y <- as.matrix(Rohwer[,3:5])   # the aptitude/ability variables

cc <- cancor(X, Y, set.names=c("PA", "Ability"))

redundancy(cc)
## 
## Redundancies for the PA variables & total X canonical redundancy
## 
##     Xcan1     Xcan2     Xcan3 total X|Y 
##   0.17342   0.04211   0.00797   0.22350 
## 
## Redundancies for the Ability variables & total Y canonical redundancy
## 
##     Ycan1     Ycan2     Ycan3 total Y|X 
##    0.2249    0.0369    0.0156    0.2774 

candisc documentation built on May 2, 2019, 6:37 p.m.