Compositional (version 2.0)

Hotelling's multivariate version of the t-test: Hotelling's multivariate version of the t-test

Description

Hotelling's test for testing the equality of two population mean vectors.

Usage

hotel2T2(x1, x2, a = 0.05, R = 999, graph = FALSE)

Arguments

x1

A matrix containing the Euclidean data of the first group.

x2

A matrix containing the Euclidean data of the second group.

a

The significance level, set to 0.05 by default.

R

If R is 1 no bootstrap calibration is performed and the classical p-value via the F distribution is returned. If R is greater than 1, the bootstrap p-value is returned.

graph

A boolean variable which is taken into consideration only when bootstrap calibration is performed. IF TRUE the histogram of the bootstrap test statistic values is plotted.

Value

A list including: A list including:

Details

Multivariate analysis of variance assuming equality of the covariance matrices. The p-value can be calculated either asymptotically or via bootstrap.

References

Everitt Brian (2005). An R and S-Plus Companion to Multivariate Analysis p. 139-140. Springer.

See Also

james, maov, el.test2, comp.test

Examples

hotel2T2( iris[1:25, 1:4], iris[26:50, 1:4] )
hotel2T2( iris[1:25, 1:4], iris[26:50, 1:4], R = 1 )
james( iris[1:25, 1:4], iris[26:50, 1:4] )
james( iris[1:25, 1:4], iris[26:50, 1:4], R = 1 )