% Generated by roxygen2: do not edit by hand
% Please edit documentation in R/componentAxis.r
\name{componentAxis}
\alias{componentAxis}
\title{Principal Component Analysis With Only n First Components Retained}
\usage{
componentAxis(R, nFactors = 2)
}
\arguments{
\item{R}{numeric: correlation or covariance matrix}

\item{nFactors}{numeric: number of components/factors to retain}
}
\value{
\item{values}{ numeric: variance of each component/factor retained }
\item{varExplained}{ numeric: variance explained by each component/factor
retained } \item{varExplained}{ numeric: cumulative variance explained by
each component/factor retained } \item{loadings}{ numeric: loadings of each
variable on each component/factor retained }
}
\description{
The \code{componentAxis} function returns a principal component analysis
with the first \emph{n} components retained.
}
\examples{

# .......................................................
# Example from Kim and Mueller (1978, p. 10)
# Simulated sample: lower diagnonal
 R <- matrix(c( 1.000, 0.560, 0.480, 0.224, 0.192, 0.16,
                0.560, 1.000, 0.420, 0.196, 0.168, 0.14,
                0.480, 0.420, 1.000, 0.168, 0.144, 0.12,
                0.224, 0.196, 0.168, 1.000, 0.420, 0.35,
                0.192, 0.168, 0.144, 0.420, 1.000, 0.30,
                0.160, 0.140, 0.120, 0.350, 0.300, 1.00),
                nrow=6, byrow=TRUE)

# Factor analysis: Selected principal components - Kim and Mueller
# (1978, p. 20)
 componentAxis(R, nFactors=2)

# .......................................................
}
\references{
Kim, J.-O. and Mueller, C. W. (1978). \emph{Introduction to
factor analysis. What it is and how to do it}. Beverly Hills, CA: Sage.

Kim, J.-O. and Mueller, C. W. (1987). \emph{Factor analysis. Statistical
methods and practical issues}. Beverly Hills, CA: Sage.
}
\seealso{
\code{\link{principalComponents}},
\code{\link{iterativePrincipalAxis}}, \code{\link{rRecovery}}
}
\author{
Gilles Raiche \cr Centre sur les Applications des Modeles de
Reponses aux Items (CAMRI) \cr Universite du Quebec a Montreal\cr
\email{raiche.gilles@uqam.ca}
}
\keyword{multivariate}