The functions compute the sum or mean of all pairwise absolute
differences. This differs from stats::mad(), which computes
the median absolute difference of each value from the median of
all the values. See the ISIwithR package (and the textbook it
accompanies) for examples using these functions in the context of
simulation-based inference.
a numeric vector or a formula.
additional arguments passed through to MAD_
or SAD_. If x is a formula, ... should
include an argument named data if the intent is to
interpret the formula in a data frame.
a data frame in which to evaluate formulas (or bare names).
Note that the default is data = parent.frame(). This makes it convenient to
use this function interactively by treating the working environment as if it were
a data frame. But this may not be appropriate for programming uses.
When programming, it is best to use an explicit data argument
-- ideally supplying a data frame that contains the variables mentioned.
a grouping variable, typically a name of a variable in data
a logical indicating whether NAs should be removed before calculating.
the mean or sum of the absolute differences between each pair
of values in c(x,...).
SAD(1:3)
#> [1] 4
MAD(1:3)
#> [1] 1.333333
MAD(~eruptions, data = faithful)
#> [1] 171.5886