% Generated by roxygen2: do not edit by hand
% Please edit documentation in R/T2.2.R
\name{T2.2}
\alias{T2.2}
\title{Hotelling T2 Statistic for Phase II.}
\usage{
T2.2(datum2, estat, n)
}
\arguments{
\item{datum2}{The data set for the phase II. Shoul be a vector.}

\item{estat}{The values of the auxiliary statistics. Should be a list with a
matrix with the means, mean of the means and mean of the standard deviation.}

\item{n}{The size of each sample used previously in data.2. If they are
individual observations, use n = 1.}
}
\value{
Return a vector with the Hotelling T2 statistics.
}
\description{
Calculate the Hotelling T2 statistic for multivariate observations at phase
II , to be used to build the corresponding control chart.
}
\details{
Before using this function it is necessary to execute the function
"stats"(that calculate the auxiliary statistics involved in the T2 formula)
and the function "data.2" (or other way to supply the data).
}
\examples{

mu <- c(5.682, 88.22)
Sigma <- symMatrix(c(3.770, -5.495, 13.53), 2)
#Example with individual observations
datum <- data.1(50, 1, mu, Sigma)
estat <- stats(datum, 50, 1, 2)
datum2 <- data.2(estat, 1, p = 2)
T2II <- T2.2(datum2, estat, 1)
#Example with subgroup observations
datum <- data.1(20, 10, mu, Sigma)
estat <- stats(datum, 20, 10, 2)
datum2 <- data.2(estat, 10, p = 2)
T2II <- T2.2(datum2, estat, 10)

}
\references{
Montgomery, D.C.,(2008)."Introduction to Statistical Quality
Control". Chapter 11. Wiley.
}
\seealso{
\link{T2.1},\link{stats}, \link{data.2}, \link{cchart.T2.2}
}
\author{
Daniela R. Recchia, Emanuel P. Barbosa
}