## Group Averages Over Level Combinations of Factors

## Usage

    ave(x, ..., FUN = mean)

## Arguments

`x` | A numeric.
`...` | Grouping variables, typically factors, all of the same `length` as `x`.
`FUN` | Function to apply for each factor level combination.

## Description

Subsets of `x[]` are averaged, where each subset consist of those observations with the same factor levels.

## Value

A numeric vector, say `y` of length `length(x)`. If `...` is `g1,g2`, e.g., `y[i]` is equal to `FUN(x[j]`, for all `j` with `g1[j]==g1[i]` and `g2[j]==g2[i])`.

## See Also

`mean`, `median`.

## Examples

    data(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()

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