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WeightedMeanAbsDevVsMedian

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Function Description

Returns, , the weighted mean absolute deviation versus the median of a series  (for ), calculated as follows:

 

 

(where  is the weighted median of the series, see MnWeightedMedian)

 

See also MnWeightedMeanAbsDevVsMean which provides another common way of measuring mean absolute deviation. However, the mean absolute deviation is minimised if it is measured relative to the median of the series rather than relative to its mean.

 

See Weighted Moments and Cumulants for further details and explanation of terms in this formula. If the weights are equal then returns the same as MnMeanAbsDevVsMedian.

 


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Output type / Parameter details

Output type: Double
Parameter NameVariable TypeDescription
InputArrayDouble()Array containing data series to be analysed
WeightArrayDouble()Array containing series to use to weight observations

Links to:

-          Interactively run function

-          Interactive instructions

-          Example calculation

-          Output type / Parameter details

-          Illustrative spreadsheet

-          Other Statistical functions

-          Computation units used


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