% Generated by roxygen2: do not edit by hand
% Please edit documentation in R/adtestWrapper.R
\name{adtestWrapper}
\alias{adtestWrapper}
\alias{print.adtestWrapper}
\alias{summary.adtestWrapper}
\title{Wrapper for Anderson-Darling tests}
\usage{
adtestWrapper(x, alpha = 0.05, R = 1000, robustEst = FALSE)

\method{print}{adtestWrapper}(x, ...)

\method{summary}{adtestWrapper}(object, ...)
}
\arguments{
\item{x}{compositional data of class data.frame or matrix}

\item{alpha}{significance level}

\item{R}{Number of Monte Carlo simulations in order to provide p-values.}

\item{robustEst}{logical}

\item{...}{additional parameters for print and summary passed through}

\item{object}{an object of class adtestWrapper for the summary method}
}
\value{
\item{res }{ a list including each test result } \item{check }{
information about the rejection of the null hypothesis} \item{alpha}{ the
underlying significance level } \item{info}{ further information which is
used by the print and summary method. } \item{est}{ \dQuote{standard} for
standard estimation and \dQuote{robust} for robust estimation }
}
\description{
A set of Anderson-Darling tests (Anderson and Darling, 1952) are applied as
proposed by Aitchison (Aichison, 1986).
}
\details{
First, the data is transformed using the \sQuote{ilr}-transformation.  After
applying this transformation

- all (D-1)-dimensional marginal, univariate distributions are tested using
the univariate Anderson-Darling test for normality.

- all 0.5 (D-1)(D-2)-dimensional bivariate angle distributions are tested
using the Anderson-Darling angle test for normality.

- the (D-1)-dimensional radius distribution is tested using the
Anderson-Darling radius test for normality.

A print and a summary method are implemented. The latter one provides a similar output is proposed by (Pawlowsky-Glahn, et al. (2008). In addition
to that, p-values are provided.
}
\examples{

data(machineOperators)
a <- adtestWrapper(machineOperators, R=50) # choose higher value of R
a
summary(a)

}
\references{
Anderson, T.W. and Darling, D.A. (1952) \emph{Asymptotic theory
of certain goodness-of-fit criteria based on stochastic processes} Annals of
Mathematical Statistics, \bold{23} 193-212.

Aitchison, J. (1986) \emph{The Statistical Analysis of Compositional Data}
Monographs on Statistics and Applied Probability. Chapman \& Hall Ltd.,
London (UK). 416p.
}
\seealso{
\code{\link{adtest}}, \code{\link{pivotCoord}}
}
\author{
Matthias Templ and Karel Hron
}
\keyword{htest}