mvnTest (version 1.1-0)

DH.test: Doornik-Hansen test for Multivariate Normality

Description

This function implements the Doornik-Hansen test for assessing multivariate normality.

Usage

DH.test(data, qqplot = FALSE)

Arguments

data

A numeric matrix or data frame

qqplot

if TRUE creates a chi-square Q-Q plot

Value

DH

the value of the test statistic

p.value

the p-value of the test

data.name

a character string giving the name of the data

Details

Calculates the value of the Doornik-Hansen test and the approximate p-value.

References

Doornik, J. and Hansen, H. (2008). An omnibus test for univariate and multivariate normality. Oxford Bulletin of Economics and Statistics, 70, 915-925.

See Also

S2.test, AD.test, CM.test, R.test, HZ.test

Examples

## generating n bivariate normal random variables...       
dat <- rmvnorm(n=200,mean=rep(0,2),sigma=matrix(c(4,2,2,4),2,2)) 
res <- DH.test(dat)
res
## generating n bivariate t distributed with 10df random variables...       
dat <- rmvt(n=200,sigma=matrix(c(4,2,2,4),2,2)*.8,df=10,delta=rep(0,2)) 
res1 <- DH.test(dat)
res1

data(iris)
setosa <- iris[1:50, 1:4] # Iris data only for setosa
res2 <- DH.test(setosa, qqplot = TRUE)
res2