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\name{aggregate}
\alias{aggregate}
\alias{aggregate.default}
\alias{aggregate.data.frame}
\alias{aggregate.ts}
\title{Compute Summary Statistics of Data Subsets}
\usage{
aggregate(x, ...)
aggregate.default(x, ...)
aggregate.data.frame(x, by, FUN, ...)
aggregate.ts(x, nfrequency = 1, FUN = sum, ndeltat = 1)
}
\description{
    Splits the data into subsets, computes summary statistics for each,
    and returns the result in a convenient form.
}
\arguments{
    \item{x}{an R object.}
    \item{by}{a list of grouping elements, each as long as the variables
    in \code{x}.  Names for the grouping variables are provided if
    they are not given.}
    \item{FUN}{a scalar function to compute the summary statistics which
    can be applied to all data subsets.}
    \item{nfrequency}{new number of observations per unit of time; must
    be a divisor of the frequency of \code{x}.}
    \item{ndeltat}{new fraction of the sampling period between
    successive observations; must be a divisor of the sampling
    interval of \code{x}.}
    \item{...}{further arguments passed to the method used.}
}
\details{
    \code{aggregate} is a generic functions with methods for data frames
    and time series.

    The default method \code{aggregate.default} uses the time series
    method if \code{x} is a time series, and otherwise coerces \code{x}
    to a data frame and calls the data frame method.

    \code{aggregate.data.frame} is the data frame method.  If \code{x}
    is not a data frame, it is coerced to one.  Then, each of the
    variables (columns) in \code{x} is split into subsets of cases
    (rows) of identical combinations of the components of \code{by}, and
    \code{FUN} is applied to each such subset with further arguments in
    \code{...} passed to it.
    (I.e., \code{tapply(VAR, by, FUN, ..., simplify = FALSE)} is done
    for each variable \code{VAR} in \code{x}, conveniently wrapped into
    one call to \code{lapply()}.)
    Empty subsets are removed, and the result is reformatted into a data
    frame containing the variables in \code{by} and \code{x}.  The ones
    arising from \code{by} contain the unique combinations of grouping
    values used for determining the subsets, and the ones arising from
    \code{x} the corresponding summary statistics for the subset of the
    respective variables in \code{x}.

    \code{aggregate.ts} is the time series method.  If \code{x} is not a
    time series, it is coerced to one.  Then, the variables in \code{x}
    are split into appropriate blocks of length
    \code{frequency(x) / nfrequency}, and \code{FUN} is applied to each
    such block.  The result returned is a time series with frequency
    \code{nfrequency} holding the aggregated values.
}
\author{Kurt Hornik}
\seealso{
    \code{\link{apply}}, \code{\link{lapply}}, \code{\link{tapply}}.
}
\examples{
data(state)

## Compute the averages for the variables in `state.x77', grouped
## according to the region (Northeast, South, North Central, West) that
## each state belongs to.
aggregate(state.x77, list(Region = state.region), mean)

## Compute the averages according to region and the occurrence of more
## than 130 days of frost.
aggregate(state.x77,
          list(Region = state.region,
               Cold = state.x77[,"Frost"] > 130),
          mean)
## (Note that no state in `South' is THAT cold.)

data(presidents)
## Compute the average annual approval ratings for American presidents.
aggregate(presidents, nf = 1, FUN = mean)
}
\keyword{category}
\keyword{array}