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

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

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

```

[Package candisc version 0.8-5 Index]