Spectre;2946328 said:
What a dumb formula this is.
I mean, it works okay as a reflection of good/poor play but are all those steps really needed to arrive at this conclusion?
What, did someone just decide to "divide by 20" or "multiply by 100" for no apparent reason?
What does those figures represent, if anything?
Check my post directly before yours.
I'll expound on this a bit.
Let's say that you have 20 linebackers that you're trying to compare. You want to come up with a single number that is derived from a formula that compares both their height and weight.
One option is to simply add their height in inches to their weight in pounds, without using any divisors. But this distorts the results to a point where the formula is meaningless. For example, you could have a linebacker that is 70 inches and 240 pounds (with a rating of 310). He would have the same rating as a player that is 74 inches and 236 pounds (rating of 310). Very clearly this does not make sense. One inch does not equal one pound when comparing football players.
In the same way, you can't compare completion percentage, touchdown percentage, interception percentage and yards per attempt by just adding them together. You have to come up with a formula that adjusts the numbers such that they are comparable and can be added.
One way to do this is to take those 20 linebackers and run a variance test (a statistical test) to see what the variance is for height and weight of the group. In very simple terms, this tells you how much the players deviate from one another in their height and weight. In order to directly compare height and weight, you would want to have the variance for each to be exactly the same. In other words, you want them to be as heavy/light compared to each other as they are tall/short. You do this by adding a divisor to each variable (e.g., divide by 20 or multiply by 100). You can adjust the divisor until you come up with one that gives you equal variance for each category. Once you have equal variance, you can simply add the numbers together to come up with the total index number.