summary.manova {stats} | R Documentation |

## Summary Method for Multivariate Analysis of Variance

### Description

A `summary`

method for class `"manova"`

.

### Usage

## S3 method for class 'manova':
summary(object,
test = c("Pillai", "Wilks", "Hotelling-Lawley", "Roy"),
intercept = FALSE, ...)

### Arguments

`object` |
An object of class `"manova"` or an `aov`
object with multiple responses. |

`test` |
The name of the test statistic to be used. Partial
matching is used so the name can be abbreviated. |

`intercept` |
logical. If `TRUE` , the intercept term is
included in the table. |

`...` |
further arguments passed to or from other methods. |

### Details

The `summary.manova`

method uses a multivariate test statistic
for the summary table. Wilks' statistic is most popular in the
literature, but the default Pillai-Bartlett statistic is recommended
by Hand and Taylor (1987).

### Value

A list with components

`SS` |
A named list of sums of squares and product matrices. |

`Eigenvalues` |
A matrix of eigenvalues. |

`stats` |
A matrix of the statistics, approximate F value,
degrees of freedom and P value. |

### References

Krzanowski, W. J. (1988) *Principles of Multivariate Analysis. A
User's Perspective.* Oxford.

Hand, D. J. and Taylor, C. C. (1987)
*Multivariate Analysis of Variance and Repeated Measures.*
Chapman and Hall.

### See Also

`manova`

, `aov`

### Examples

## Example on producing plastic film from Krzanowski (1998, p. 381)
tear <- c(6.5, 6.2, 5.8, 6.5, 6.5, 6.9, 7.2, 6.9, 6.1, 6.3,
6.7, 6.6, 7.2, 7.1, 6.8, 7.1, 7.0, 7.2, 7.5, 7.6)
gloss <- c(9.5, 9.9, 9.6, 9.6, 9.2, 9.1, 10.0, 9.9, 9.5, 9.4,
9.1, 9.3, 8.3, 8.4, 8.5, 9.2, 8.8, 9.7, 10.1, 9.2)
opacity <- c(4.4, 6.4, 3.0, 4.1, 0.8, 5.7, 2.0, 3.9, 1.9, 5.7,
2.8, 4.1, 3.8, 1.6, 3.4, 8.4, 5.2, 6.9, 2.7, 1.9)
Y <- cbind(tear, gloss, opacity)
rate <- factor(gl(2,10), labels=c("Low", "High"))
additive <- factor(gl(2, 5, len=20), labels=c("Low", "High"))
fit <- manova(Y ~ rate * additive)
summary.aov(fit) # univariate ANOVA tables
summary(fit, test="Wilks") # ANOVA table of Wilks' lambda

[Package

*stats* version 2.2.1

Index]