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Calculating Median Absolute Deviation and Modified Z-score

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    Calculating Median Absolute Deviation and Modified Z-score

    Hi there, I'm working with a relatively small data set, so in order to better identify outliers I'm looking to calculate the modified z-score. However, in order to do that, I must first calculate the median absolute deviation (MAD). Can someone please help explain how to do this AND show an example of how to calculate it in Excel? Thanks in advance!
    Last edited by hodgsona; 01-31-2014 at 06:17 PM.

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    Re: Calculating Median Absolute Deviation and Modified Z-score

    =MEDIAN(ABS(values - MEDIAN(values)))

    The formula MUST be confirmed with Ctrl+Shift+Enter instead of just Enter.
    Entia non sunt multiplicanda sine necessitate

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    Re: Calculating Median Absolute Deviation and Modified Z-score

    Ok, so if my values are 78.7, 76.5, 76.6, 78.7, 78.4, 93.2, 87.3, I will calculate the absolute deviation from the median for EACH value first, correct? Bear with me, I want to make sure I understand the concept before I feel comfortable with the calculation. So, for each value, I will subtract it from the median to get the absolute deviation from the median for each value. Then, I will find the median of the absolute deviations from the median, and use that when calculating the modified z-score.

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    Re: Calculating Median Absolute Deviation and Modified Z-score

    So, for each value, I will subtract it from the median to get the absolute deviation from the median for each value. Then, I will find the median of the absolute deviations from the median, ...
    Yes, that's what the formula does:

    A
    B
    C
    1
    78.7
    0.0
    B1: =ABS(A1-$A$10)
    2
    76.5
    2.2
    3
    76.6
    2.1
    4
    78.7
    0.0
    5
    78.4
    0.3
    6
    93.2
    14.5
    7
    87.3
    8.6
    8
    9
    10
    78.7
    A9: =MEDIAN(A1:A7)
    11
    2.1
    B10: =MEDIAN(B1:B7)
    12
    13
    2.1
    B11: {=MEDIAN(ABS(A1:A7 - MEDIAN(A1:A7)))}


    ... and use that when calculating the modified z-score.
    I don't know anything about z scores.

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