mad
mean absolute deviation
Syntax
s2 = mad(x) s2 = mad(x, orientation)
Arguments
- x
real or complex vector or matrix
- orientation
index of the dimension along which the mad is computed. It can be either
- a character
"*"
(default),"r"
or"c"
- a positive integer: 1 or 2. 1 is equivalent to "r" and 2 is equivalent to "c".
- a character
- s2
real or complex scalar or vector
Description
This function computes the mean absolute deviation of a
real or complex vector or matrix x
.
For a vector or matrix x
, s2=mad(x)
or s2=mad(x, "*")
returns in scalar s2
the mean absolute deviation
of all the entries of x
.
s2=mad(x,'r')
(or, equivalently, s2=mad(x,1)
)
returns in each entry of the column vector s2
the mean absolute deviation of each column of x
.
s2=mad(x,'c')
(or, equivalently, s2=mad(x,2)
)
returns in each entry of the column vector s2
the mean absolute deviation of each row of x
.
Examples
x = [2 2 3 4 14]; // Mean absolute deviation of a set of data // Expected = (|2-5|+|2-5|+|3-5|+|4-5|+|14-5|) / 5 = 3.6 mad(x)
Bibliography
Reference: Wonacott T.H.& Wonacott R.J. .- Introductory Statistics, 5th edition, John Wiley, 1990.
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