Average Absolute Deviation?

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Delany MacDonald
Delany MacDonald on 16 Mar 2016
Edited: Image Analyst on 16 Mar 2016
What is the coding in matlab to find the AAD?

Answers (3)

John D'Errico
John D'Errico on 16 Mar 2016
1. Compute the deviation. (You have not said what the deviation is from, so I cannot answer that.)
2. Compute the absolute value of the deviations. abs will suffice.
help abs
3. Use mean to compute the average.
help mean
  1 Comment
Delany MacDonald
Delany MacDonald on 16 Mar 2016
If its standard deviation would it be y= std(x) then absy = abs(y) then meany = mean(absy)?

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Walter Roberson
Walter Roberson on 16 Mar 2016
mean( abs(x - mean(x)) )

Image Analyst
Image Analyst on 16 Mar 2016
Edited: Image Analyst on 16 Mar 2016
We usually find the median absolute deviation is a better measure https://en.wikipedia.org/wiki/Median_absolute_deviation because the measure itself is less affected by outliers.
On a global basis you can do
mad = median(abs(array(:) - median(array(:))))
We often use it to find outliers in the data.

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