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Calculating and Charting Impact on the Mean

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    Calculating and Charting Impact on the Mean

    This may be a little more of a statistics question but thought I'd give it a shot here.

    So my company earns money from doctors. For this quarter, we made money from 20 doctors. Each doctor has a revenue, and a profit % associated with that revenue.

    In the aggregate, average profit for this quarter for all doctors is 30%.

    I want to find the IMPACT of each doctor to the profit percentage.

    Now the impact of a doctor has two pieces to it, right?

    1. The dollar amount of revenue (the more the revenue, the more that revenue is weighted in the average and thus the more IMPACT it has on the overall 30% average profit) and
    2. The profit percentage itself (the further it is from 30%, the more it “pulls” the average in that direction. E.g. even if dollar amount of revenue is equal, a doctor with 50% profit will change the mean more than a doctor with 35% profit).

    I want to chart out this impact statistic somehow. Any idea on how to mathematically distill what I’m looking for into one “impact” number? Would be more positive the more it “pulls” the mean up and more negative it "pulls" the mean down.

    Also, once I get that number, is there a particular chart type that would be most effective in displaying that information?

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    Re: Calculating and Charting Impact on the Mean

    For those of us who don't intuitively know the calculations you are using, can you provide some detail on how you are calculating profit percent, average profit, average percent, etc.? Best might be to put a small sample calculation into a spreadsheet that shows everything that goes into this calculation. That would help those of us not in business finance understand the math you are using so that we might be able to help.
    Quote Originally Posted by shg
    Mathematics is the native language of the natural world. Just trying to become literate.

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    Re: Calculating and Charting Impact on the Mean

    Yes, absolutely.

    So Doctor E has $75 of revenue at 40% profit.

    Doctor G has $500 of revenue with 35% profit.

    Even though their performance is quite different, they could in fact have the same impact on the 30% overage profit (I haven't made sure they actually do, but they could). Doctor E has less revenue (less weight in 30% average calculation) but higher profit. Doctor G has more revenue (more weight in 30% average calculation) but lower profit.

    Is it possible to calculate from these two things one "impact" number that would be the same for E and G (i.e. denoting that they have the same impact on the 30% mean)?
    Attached Files Attached Files

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    Re: Calculating and Charting Impact on the Mean

    B
    C
    D
    E
    F
    G
    3
    Doctor
    Revenue
    Cost
    Profit $
    Margin
    4
    A
    100
    (75)
    25
    25%
    5
    B
    200
    (154)
    46
    23%
    6
    C
    300
    (234)
    66
    22%
    7
    D
    150
    (110)
    41
    27%
    8
    E
    75
    (45)
    30
    40%
    9
    F
    275
    (124)
    151
    55%
    10
    G
    500
    (325)
    175
    35%
    11
    H
    200
    (170)
    30
    15%
    12
    I
    200
    (170)
    30
    15%
    13
    14
    Total
    2,000
    (1,406)
    594
    30%
    15
    16
    $1 Cost Increase
    -0.05000%
    F16: =(E14 - 1) / C14 - F14
    17
    $1 Revenue Increase
    0.03514%
    F17: =(E14 + 1) / (C14 + 1) - F14
    18
    $1 Cost Decrease
    0.05000%
    F18: =(E14 + 1) / C14 - F14
    19
    $1 Revenue Decrease
    -0.03517%
    F19: =(E14 - 1) / (C14 - 1) - F14
    Last edited by shg; 10-23-2017 at 01:44 PM.
    Entia non sunt multiplicanda sine necessitate

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    Re: Calculating and Charting Impact on the Mean

    shg's analysis suggests to me that, by that measure anyway, one doctor does not have more impact than another doctor on overall profit%. A $1 change in Dr. E's cost/reveniue is the same as a $1 change in Dr. G's cost/revenue. Is that the conclusion you are looking to make?

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    Re: Calculating and Charting Impact on the Mean

    Data table

    A
    B
    C
    D
    E
    F
    1
    Doctor
    Revenue
    Cost
    Margin
    2
    Anne
    100
    75
    25.000%
    D2: =1-C2/B2
    3
    Barb
    200
    154
    23.000%
    4
    Cara
    300
    234
    22.000%
    5
    Dana
    150
    110
    26.667%
    6
    Ella
    75
    45
    40.000%
    7
    Fran
    275
    124
    54.909%
    8
    Gail
    500
    325
    35.000%
    9
    Hana
    200
    170
    15.000%
    10
    Iris
    200
    170
    15.000%
    11
    Total
    2,000
    1,407
    29.650%
    12
    13
    Change
    1
    1
    (0.015%)
    D13: =1 - (C11 + C13) / (B11 + B13) - D11
    14
    15
    Cost
    16
    (0.015%)
    -1
    0
    1
    B16: =D13
    17
    -1
    0.015%
    (0.035%)
    (0.085%)
    C17:E19: {=TABLE(C13,B13)}
    18
    Rev
    0
    0.050%
    0.000%
    (0.050%)
    19
    1
    0.085%
    0.035%
    (0.015%)

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