File: test-scaleTest.Rd

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\name{scaleTest}
\alias{scaleTest}

\concept{Ansari-Bradley test}
\concept{Mood test}


\title{Two sample scale tests}

\description{
    
  Tests if two series differ in their distributional scale parameter.
    
}

\usage{
scaleTest(x, y, method = c("ansari", "mood"), 
    title = NULL, description = NULL)
}

\arguments{
  \item{x, y}{
    numeric vectors of data values.
  }
  \item{method}{
    a character string naming which test should be applied.
  } 
  \item{title}{
    an optional title string, if not specified the inputs data 
    name is deparsed.
  }
  \item{description}{
    optional description string, or a vector of character strings.
  } 
}

\details{
    
  The \code{method="ansari"} performs the Ansari-Bradley two-sample 
  test for a difference in scale parameters. The test returns for 
  any sizes of the series \code{x} and \code{y} the exact p value 
  together with its asymptotic limit.  
  
  The \code{method="mood"}, is another test which performs a 
  two-sample test for a difference in scale parameters. The underlying 
  model is that the two samples are drawn from \emph{f(x-l)} and 
  \emph{f((x-l)/s)/s}, respectively, where \emph{l} is a common 
  location parameter and \emph{s} is a scale parameter. The null 
  hypothesis is \emph{s=1}. 
    
}

\value{
  an object from class \code{\link{fHTEST}}
}

\note{

  Some of the test implementations are selected from \R's \code{ctest}
  package.
       
}

\references{
Conover, W. J. (1971);
    \emph{Practical nonparametric statistics},
    New York: John Wiley & Sons.

Lehmann E.L. (1986); 
    \emph{Testing Statistical Hypotheses}, 
    John Wiley and Sons, New York.
    
Moore, D.S. (1986);
    \emph{Tests of the chi-squared type}, 
    In: D'Agostino, R.B. and Stephens, M.A., eds., 
    Goodness-of-Fit Techniques, Marcel Dekker, New York. 
}

\author{

  R-core team for hypothesis tests implemented from \R's 
  package \code{ctest}.
    
}

\examples{
\dontshow{set.seed(1234)}
## Generate Series:
x = rnorm(50)
y = rnorm(50)
   
scaleTest(x, y, "ansari")
scaleTest(x, y, "mood")
}

\keyword{htest}