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September 23rd, 2013, 02:36 PM  #1 
Newbie Joined: Sep 2013 Posts: 1 Thanks: 0  Looking for Someone to Point me in the right direction
I wish to run a competition among my stores based on percent improvement over time. Since all stores start with a different initial performance scores, I wish to know how to calculate percent improvement among stores fairly. Because the items being measured require more effort as one approaches a perfect score, it can require more effort to improve ones score from a 95 to a 98 than it requires to move a score of 50 to a 75, What type formula would I use to reflect that as you approach the top of the scale further improvement becomes more difficult? Please check out the attached visual for increased clarity of the problem. [attachment=1:sv4ns305]Percent Improvement Problem.png[/attachment:sv4ns305] Regards, ROSJ61 
September 25th, 2013, 06:01 PM  #2 
Math Team Joined: Apr 2012 Posts: 1,579 Thanks: 22  Re: Looking for Someone to Point me in the right direction
Well, then you DON'T want a percentage based on baseline score. What you MIGHT do instead is measure distance left to reach 100, and then measure what part of that distance was covered. So, in you example, as store that moves from 50 to 75 moved 50% of the remaining way to 100. The store that went from 95 to 98 went 60% of the remaining way. Even this might bias results towards stores with really low baseline scores, however. 

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