So I'm helping develop a game for some friends and I(partially for school as well) and the math has got me stumped.
Here is what I'm wanting to do-
For each position in football, I have come up with a expected, or average, line of stats that each player should accomplish. So now that a baseline is set, we find out exactly how the player performed. Let's say for an example this happened-
A QB is expected to throw for 250 yds, 3 tds and 1 turnover.
A RB is expected to run for 125 yds, 1.5 tds and .5 turnover.
Actually stats of a game are-
QB throws for 276 yds, 2 tds and 0 turnovers.
RB runs for 156 yds 1 td and 1 turnover.
I'm basically looking for a way to quantify the two results so that they can be compared. The basic idea of the game is to pick a player in which you think will perform best, so the numerical representation of how the QB and RB perform would have to be similar. I know it's a bit confusing but I have two months to figure it out and I'll be checking back here with more info and to answer questions. Thanks in advance for any thoughts you might have.
Wouldn't you want to just turn it into points
pass yds = .05
rush/rec yds = .1
pass Td = 4
rush/rec TD = 6
INT = -2
Fumb = -1
QB = 22.5 points
RB = 21 points
Now, if you want the baseline to be equal adjust the turnovers to:
INT = -4
Funb = -2
That would make both the baselines = 20.5 points
From there, you would calulate the actual stats*:
QB = 21.8
RB = 19.6
*based on adjusted TO calculation to make the baselines equal