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\name{by}\alias{by}\alias{by.default}\alias{by.data.frame}\alias{print.by}\title{Apply a Function to a Data Frame split by Factors}\description{Function \code{by} is an object-oriented wrapper for\code{\link{tapply}} applied to data frames.}\usage{by(data, INDICES, FUN, \dots)}\arguments{\item{data}{an \R object, normally a data frame, possibly a matrix.}\item{INDICES}{a factor or a list of factors, each of length\code{nrow(data)}.}\item{FUN}{a function to be applied to data frame subsets of \code{data}.}\item{\dots}{further arguments to \code{FUN}.}}\details{A data frame is split by row into data framessubsetted by the values of one or more factors, and function\code{FUN} is applied to each subset in turn.Object \code{data} will be coerced to a data frame by default.}\value{A list of class \code{"by"}, giving the results for each subset.}\seealso{\code{\link{tapply}}}\examples{require(stats)attach(warpbreaks)by(warpbreaks[, 1:2], tension, summary)by(warpbreaks[, 1], list(wool = wool, tension = tension), summary)by(warpbreaks, tension, function(x) lm(breaks ~ wool, data = x))## now suppose we want to extract the coefficients by grouptmp <- by(warpbreaks, tension, function(x) lm(breaks ~ wool, data = x))sapply(tmp, coef)detach("warpbreaks")}\keyword{iteration}\keyword{category}