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\name{biplot}
\title{Biplot of Multivariate Data}
\usage{
biplot(x, \dots)

biplot.default(x, y, var.axes = TRUE, col, cex = rep(par("cex"), 2),
               xlabs = NULL, ylabs = NULL, expand = 1,
               xlim  = NULL, ylim  = NULL, arrow.len = 0.1, \dots)
}
\alias{biplot}
\alias{biplot.default}
\arguments{
 \item{x}{The \code{biplot}, a fitted object. For \code{biplot.default},
   the first set of points (a two-column matrix), usually associated
   with observations.}
 \item{y}{The second set of points (a two-column matrix), usually associated
   with variables.}
 \item{var.axes}{If \code{TRUE} the second set of points have arrows
   representing them as (unscaled) axes.}
 \item{col}{A vector of length 2 giving the colours for the first and
   second set of points respectively (and the corresponding axes). If a
   single colour is specified it will be used for both sets.}
 \item{cex}{The character expansion factor used for labelling the
   points. The labels can be of different sizes for the two sets by
   supplying a vector of length two.}
 \item{xlabs}{A vector of character strings to label the first set of
   points: the default is to use the row dimname of \code{x}, or
   \code{1:n} is the dimname is \code{NULL}.}
 \item{ylabs}{A vector of character strings to label the second set of
   points: the default is to use the row dimname of \code{y}, or
   \code{1:n} is the dimname is \code{NULL}.}
 \item{expand}{An expansion factor to apply when plotting the second set
   of points relative to the first. This can be used to get the two sets
   on to a physically comparable scale.}
 \item{arrow.len}{The length of the arrow heads on the axes plotted in
   \code{var.axes} is true. The arrow head can be suppressed by
   \code{arrow.len = 0}.}
 \item{xlim, ylim, \dots}{graphical parameters.}
}
\description{
  Plot a biplot on the current graphics device.
}
\details{
  A biplot is plot which aims to represent both the observations and
  variables of a matrix of multivariate data on the same plot. There are
  many variations on biplots (see the references) and perhaps the most
  widely used one is implemented by \code{\link{biplot.princomp}}.
  The function \code{biplot.default} merely provides the
  underlying code to plot two sets of variables on the same figure.

  Graphical parameters can also be given to \code{biplot}.
}
\section{Side Effects}{
a plot is produced on the current graphics device.
}
\references{
  K. R. Gabriel (1971).  The biplot graphical display of matrices with
  application to principal component analysis. \emph{Biometrika}
  \bold{58}, 453--467.

  J.C. Gower and D. J. Hand (1996). \emph{Biplots}. Chapman & Hall.
}
\author{B.D. Ripley}
\seealso{\code{\link{biplot.princomp}}, also for examples.}
\keyword{hplot}
\keyword{multivariate}