HotellingsT2Test(X, ...)
## S3 method for class 'default':
HotellingsT2Test(X, Y = NULL, mu = NULL, test = "f",
na.action = na.fail, \dots)
## S3 method for class 'formula':
HotellingsT2Test(formula, na.action = na.fail, \dots)
X ~ g
where X
is a numeric matrix giving the data values and g
a factor
with two levels giving the corresponding groups.test
).test = "f"
the F-distribution is used for
the test statistic and it is assumed that the data are normally distributed. If the chisquare
approximation is used, the normal assumption can be relaxed to existence of second moments.
In the two sample case both populations are assumed to have the same covariance matrix.
The formula interface is only applicable for the 2-sample tests.math.teach <- data.frame(
teacher = factor(rep(1:2, c(3, 6))),
satis = c(1, 3, 2, 4, 6, 6, 5, 5, 4),
know = c(3, 7, 2, 6, 8, 8, 10, 10, 6))
(m1 <- with(math.teach,
HotellingsT2Test(cbind(satis, know) ~ teacher))
)
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