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How to measure the impact of individual parts to the whole when measuring yearly performance


How did Euler solve the 4-whole-numbers-adding-up-to-a-perfect-square problem?How to know when a line is parallel to the xz-planeFinding Y coordinate of third triangle point when X coordinate and two other points are already knownParadox of Random Natural NumbersStudying for grad school qualifying exams; need a little help on how to effectively study higher math.Trouble working out course work module precentages.How do you sum a series when individual elements themselves may be series?How does changes of the first and second order derivative affect the maximum value of the function itself when the variable is arg max form?Need help explaining method of calculation for a school question for my $10$ year oldSoft question: solution strategies, how to attack the problem when using pen and paper?













0












$begingroup$


Suppose I have a scenario where I want to compare the performance of 2 different time periods, but I want to break down exactly what caused the difference in performance.



For example: I have performance of 3 telemarketers (t1, t2, and t3):



t1 called 50 customers and sold 20. his success is 20/50, or 40%.



t2 called 75 and sold 10. his success is 10/75 or 13.3%



t3 called 200 and sold 95. his success is 95/200 or 47.5%.



the total success all 3 combined is 38%.



the following year, I have the following performance:



t1 called 60 customers and sold 10. his success is 10/60, or 16%



t2 called 105 and sold 95. his success is 95/105 or 90%



t3 called 25 and sold 1. his success is 1/25 or 4%.



the total success is 55%.



the difference between the two totals is 55%-38% = 17%.
what I want to show is that of the 17% difference, t1 contributed to x%, t2 contributed to y% and t3 contributed to z%. x+y +z should equal 17%.



My end result should be 38% + x%+ y% z% = 55%. In my case, I would expect that some telemarketers contributed negatively since t1 had worse performance, and t3 contributed positively since t3 did much better this year.



I've tried a couple things but cant get the numbers to tie out. I know an issue is that the denominators aren't the same, so I dont know how to calculate this one out.



I've tried doing some sorted of weighted difference, tried taking each impact separately, but still can't get the numbers to balance. can someone let me know their thoughts and let me know if this is possible.










share|cite|improve this question









$endgroup$
















    0












    $begingroup$


    Suppose I have a scenario where I want to compare the performance of 2 different time periods, but I want to break down exactly what caused the difference in performance.



    For example: I have performance of 3 telemarketers (t1, t2, and t3):



    t1 called 50 customers and sold 20. his success is 20/50, or 40%.



    t2 called 75 and sold 10. his success is 10/75 or 13.3%



    t3 called 200 and sold 95. his success is 95/200 or 47.5%.



    the total success all 3 combined is 38%.



    the following year, I have the following performance:



    t1 called 60 customers and sold 10. his success is 10/60, or 16%



    t2 called 105 and sold 95. his success is 95/105 or 90%



    t3 called 25 and sold 1. his success is 1/25 or 4%.



    the total success is 55%.



    the difference between the two totals is 55%-38% = 17%.
    what I want to show is that of the 17% difference, t1 contributed to x%, t2 contributed to y% and t3 contributed to z%. x+y +z should equal 17%.



    My end result should be 38% + x%+ y% z% = 55%. In my case, I would expect that some telemarketers contributed negatively since t1 had worse performance, and t3 contributed positively since t3 did much better this year.



    I've tried a couple things but cant get the numbers to tie out. I know an issue is that the denominators aren't the same, so I dont know how to calculate this one out.



    I've tried doing some sorted of weighted difference, tried taking each impact separately, but still can't get the numbers to balance. can someone let me know their thoughts and let me know if this is possible.










    share|cite|improve this question









    $endgroup$














      0












      0








      0





      $begingroup$


      Suppose I have a scenario where I want to compare the performance of 2 different time periods, but I want to break down exactly what caused the difference in performance.



      For example: I have performance of 3 telemarketers (t1, t2, and t3):



      t1 called 50 customers and sold 20. his success is 20/50, or 40%.



      t2 called 75 and sold 10. his success is 10/75 or 13.3%



      t3 called 200 and sold 95. his success is 95/200 or 47.5%.



      the total success all 3 combined is 38%.



      the following year, I have the following performance:



      t1 called 60 customers and sold 10. his success is 10/60, or 16%



      t2 called 105 and sold 95. his success is 95/105 or 90%



      t3 called 25 and sold 1. his success is 1/25 or 4%.



      the total success is 55%.



      the difference between the two totals is 55%-38% = 17%.
      what I want to show is that of the 17% difference, t1 contributed to x%, t2 contributed to y% and t3 contributed to z%. x+y +z should equal 17%.



      My end result should be 38% + x%+ y% z% = 55%. In my case, I would expect that some telemarketers contributed negatively since t1 had worse performance, and t3 contributed positively since t3 did much better this year.



      I've tried a couple things but cant get the numbers to tie out. I know an issue is that the denominators aren't the same, so I dont know how to calculate this one out.



      I've tried doing some sorted of weighted difference, tried taking each impact separately, but still can't get the numbers to balance. can someone let me know their thoughts and let me know if this is possible.










      share|cite|improve this question









      $endgroup$




      Suppose I have a scenario where I want to compare the performance of 2 different time periods, but I want to break down exactly what caused the difference in performance.



      For example: I have performance of 3 telemarketers (t1, t2, and t3):



      t1 called 50 customers and sold 20. his success is 20/50, or 40%.



      t2 called 75 and sold 10. his success is 10/75 or 13.3%



      t3 called 200 and sold 95. his success is 95/200 or 47.5%.



      the total success all 3 combined is 38%.



      the following year, I have the following performance:



      t1 called 60 customers and sold 10. his success is 10/60, or 16%



      t2 called 105 and sold 95. his success is 95/105 or 90%



      t3 called 25 and sold 1. his success is 1/25 or 4%.



      the total success is 55%.



      the difference between the two totals is 55%-38% = 17%.
      what I want to show is that of the 17% difference, t1 contributed to x%, t2 contributed to y% and t3 contributed to z%. x+y +z should equal 17%.



      My end result should be 38% + x%+ y% z% = 55%. In my case, I would expect that some telemarketers contributed negatively since t1 had worse performance, and t3 contributed positively since t3 did much better this year.



      I've tried a couple things but cant get the numbers to tie out. I know an issue is that the denominators aren't the same, so I dont know how to calculate this one out.



      I've tried doing some sorted of weighted difference, tried taking each impact separately, but still can't get the numbers to balance. can someone let me know their thoughts and let me know if this is possible.







      problem-solving






      share|cite|improve this question













      share|cite|improve this question











      share|cite|improve this question




      share|cite|improve this question










      asked Mar 29 at 17:01









      MrdlauMrdlau

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