Statistical formula question

  • I have run across a stored procedure that makes a calculation and returns the value in a column called rate. There are multiple rows of data being analyzed. Each row has a denominator column (which is the count of something) and a Median Column (the median value of something). The "rate" is calculated by the following formula in T-SQL: SUM(denominator * median) / SUM(denominator).

    I have been unsuccessful in determining exactly what this formula is attempting to communicate. Does anyone recognize this?

  • It looks like some sort of weighted average. Not sure. The denominator label throws me off. You really have

    sum (count * average) / sum ( count)

  • Steve Jones - Editor (3/11/2010)


    It looks like some sort of weighted average. Not sure. The denominator label throws me off. You really have

    sum (count * average) / sum ( count)

    Here are the details. I think you are right about this being some sort of weighted average.

    Pre-aggregated data (1 row per episode)

    ID - identifier

    Date

    Value - a number of representing some value

    Aggregated data (1 row per month)

    Month

    Denominator = Count of ID's in that Month

    Median = the Median value of Values in the given month

    Report using Aggregated data for the Quarter

    Quarter - the Quarter reporting on (3 months of data)

    Rate = SUM(Denominator * Median) / SUM(Denominator)

  • Steve Jones - Editor (3/11/2010)


    It looks like some sort of weighted average. Not sure. The denominator label throws me off. You really have

    sum (count * average) / sum ( count)

    It's what you call the "average median". (technically this is a "weighted average median").

    Think Census terms like "the average median household income"

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