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ranking by weighted results

  1. #1
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    02-19-2007
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    ranking by weighted results

    I am trying to obtain an overall ranking for a series of locations using several different categories, weighting each of those categories. I'm not sure if this makes sense, but here is an example and what I have attempted to do so far...

    locations Result 1 Result 2 Result 3
    location1 515 89% 4.5%
    location2 431 72% 2.3%
    location3 535 n/a 5.0%

    Weighting...
    Result 1 = 30%
    Result 2 = 50%
    Result 3 = 20%
    Total - 100%

    What I am trying to do is determine which location is ranked the highest
    overall.

    I inititally thought since the results varied in their number format that I
    would first rank each result by location. ex: Location1 > Result 1 > Ranked = 2

    I then took the rank and * by the weight. ex: Location1 > Result 1 > Ranked
    > 2*30%

    I did the above formula for each result per location. I then sumed all results together per location and divided that number by 100.

    Then used that final number to obtain each locations rank.

    I'm honestly not sure if I was correct in the mathmatics of the formula. I
    also need to know how to not have a result count if the location did not have a result. ex: location3 > result 2 = n/a. And lastly, If
    there is an easier way to obtain this result, I would love to know. I feel
    I'm complicating this process when there is more than likely a more simple way to obtain.
    Last edited by VBA Noob; 02-19-2007 at 06:02 PM.

  2. #2
    Forum Contributor
    Join Date
    03-13-2005
    Posts
    6,195
    Quote Originally Posted by casdaq
    I am trying to obtain an overall ranking for a series of locations using several different categories, weighting each of those categories. I'm not sure if this makes sense, but here is an example and what I have attempted to do so far...

    locations Result 1 Result 2 Result 3
    location1 515 89% 4.5%
    location2 431 72% 2.3%
    location3 535 n/a 5.0%

    Weighting...
    Result 1 = 30%
    Result 2 = 50%
    Result 3 = 20%
    Total - 100%

    What I am trying to do is determine which location is ranked the highest
    overall.

    I inititally thought since the results varied in their number format that I
    would first rank each result by location. ex: Location1 > Result 1 > Ranked = 2

    I then took the rank and * by the weight. ex: Location1 > Result 1 > Ranked
    > 2*30%

    I did the above formula for each result per location. I then sumed all results together per location and divided that number by 100.

    Then used that final number to obtain each locations rank.

    I'm honestly not sure if I was correct in the mathmatics of the formula. I
    also need to know how to not have a result count if the location did not have a result. ex: location3 > result 2 = n/a. And lastly, If
    there is an easier way to obtain this result, I would love to know. I feel
    I'm complicating this process when there is more than likely a more simple way to obtain.
    Hi.

    a shake of a set of dice starts to look good huh . . .


    Your values seem difficult to relate to each other, asin the values for category 3 are low %, does this mean that they are already expressed as a maximum of 20% and are thereby 'pre-weighted'?

    What is the marks of 515, 431 and 535 expressed in relation to, marks from 1000 ? from 600 ? How would these relate to the % shown for category two and three?

    Category two would seem easy to weight, as one-half of the category two % would equal it's weighted value, but only if the weighting is on an even basis with the marks as allocated to the other two categories.

    any further clues?
    ---

    my suggestion would be to Rank each category, then weight each ranking for an overall position.

    ---
    Last edited by Bryan Hessey; 02-20-2007 at 07:03 AM.
    Si fractum non sit, noli id reficere.

  3. #3
    Registered User
    Join Date
    02-19-2007
    Posts
    43
    Thanks for the response, I know it's confusing. The results do not relate in any way, that's part of the problem. A simple weighting of each would be easy, taking the result * the weight, but as you can see with my example, I have lower % results that need to be weighted differently (EX: lower is better for Result 3). I think you are right, ranking and then weighting is the way to go.

    The only dilemma I have is what to do if a location does not have a result? I.e. Location 3 > Result 2 = N/A. If I do not count that, then the weighting is thrown off for that Location and will negatively impact them. Any suggestions on how to mathematically formulate a result to include the weighting? i.e. Location 3 > Result 2 > = N/A (weighting would be 50%)

    I do not think there is but thought I'd ask.

    Thanks again!

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