redundancy {candisc} | R Documentation |
Canonical Redundancy 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 |
x |
A |
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
|
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