F.test.cca {yacca} | R Documentation |

## F Test for Canonical Correlations Using Rao's Approximation

### Description

Tests a series of canonical correlations (sequentially) against the null hypothesis that the tested coefficient and all succeeding coefficients are zero.

### Usage

```
F.test.cca(x, ...)
## S3 method for class 'F.test.cca'
print(x, ...)
```

### Arguments

`x` |
a |

`...` |
additional arguments. |

### Details

Several related tests have been proposed for the evaluation of canonical correlations (including Bartlett's Chi-squared test, which is computed by default within `cca`

). This function employs Rao's statistic (related to Wilks' Lambda) as the basis for an F test of each coefficient (and all others in ascending sequence) against the hypothesis that the associated population correlations are zero.

### Value

An object of class `F.test.cca`

, whose elements are as follows:

`corr` |
Canonical correlations. |

`statistic` |
Squared canonical correlations (shared variance across canonical variates). |

`parameter` |
Coefficients for the |

`p.value` |
Coefficients for the |

`method` |
Canonical variate scores for the |

`data.name` |
Canonical variate scores for the |

### Author(s)

Nicholas L. Crookston <ncrookston@fs.fed.us>

Carter T. Butts <buttsc@uci.edu>

### References

Mardia, K. V.; Kent, J. T.; and Bibby, J. M. 1979. *Multivariate Analysis*. London: Academic Press.

### See Also

### Examples

```
#Example: perceived personal attributes versus professional performance
#for US Judges
data(USJudgeRatings)
personal <- USJudgeRatings[,c("INTG","DMNR","DILG","FAMI","PHYS")]
performance <- USJudgeRatings[,c("CFMG","DECI","PREP","ORAL","WRIT")]
cca.fit <- cca(personal, performance)
#Test the canonical correlations (see also summary(cca.fit))
F.test.cca(cca.fit)
```

*yacca*version 1.4-2 Index]