I was recently reading about U.Z.R. I think it is a good stat but it is flawed.
My main criticism is that it does not account for the quality of the balls that are hit to you, I'm interested if to know if there are others that agree.
There is a way to correct this problem and make four dimensional plots, (x,y,z,t) of defensive players range. This is possible if all balls hit are recorded as vectors. We would only really need two data points, for fly balls, to achieve this goal. First distance traveled on a 2-D map and second time traveled in the air. We could also use the velocity of the ball off the bat and the angle to calculate the same info, I don't know which statistics are easier to get or even where to get either of them. From this data we could diagram average player range and more accurately determine a players worth defensively. One problem is ground balls, the physics of that is much different than fly balls, any suggestions are appreciated.
I posted this because I think with some help this algorithm could easily be generated and you guys are the best group to run it by before actually wasting time to try to do this.