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% File src/library/stats/man/ave.Rd% Part of the R package, https://www.R-project.org% Copyright 1995-2007 R Core Team% Distributed under GPL 2 or later\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{require(graphics)ave(1:3) # no grouping -> grand meanattach(warpbreaks)ave(breaks, wool)ave(breaks, tension)ave(breaks, tension, FUN = function(x) mean(x, trim = 0.1))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}