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\name{ave}\title{Group Averages Over Level Combinations of Factors}\usage{ave(x, \dots, FUN = mean)}\alias{ave}\arguments{\item{x}{A numeric.}\item{\dots}{Grouping variables, typically factors, all of the same\code{length} as \code{x}.}\item{FUN}{Function to apply for each factor level combination.}}\description{Subsets of \code{x[]} are averaged, where each subset consist of thoseobservations with the same factor levels.}\value{A numeric vector, say \code{y} of length \code{length(x)}.If \code{\dots} is \code{g1,g2}, e.g.,\code{y[i]} is equal to \code{FUN(x[j]}, for all \code{j} with\code{g1[j]==g1[i]} and \code{g2[j]==g2[i])}.}\seealso{\code{\link{mean}}, \code{\link{median}}.}\examples{ave(1:3)# no grouping -> grand meandata(warpbreaks)attach(warpbreaks)ave(breaks, wool)ave(breaks, tension)ave(breaks, tension, FUN = function(x)mean(x, trim=.1))plot(breaks, main ="ave( Warpbreaks ) for wool x tension combinations")lines(ave(breaks, wool, tension ), type='s', col = "blue")lines(ave(breaks, wool, tension, FUN=median), type='s', col = "green")legend(40,70, c("mean","median"), lty=1,col=c("blue","green"), bg="gray90")detach()}\keyword{univar}