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Friday, May 22, 2009
Fielding positioning, part 2
Max comes back for more. It’s excellent work, though I have a couple of issues.
1. You need to use the run value of all batted balls, not just those that go for hits. Outs have a run value as well. From his chart, it’s apparent that he only considers positive values. Either you do it the linear weights way, where the average is zero, or you do what wOBA does, and compare the run value of the positive events to the out.
2.
If you believe the dotted lines should cross the (blue) density line in places where it peaks, you are quite right.
No. Suppose you only have one peak (a parabola)? Do you put the three infielders all at the same spot? We want to lower the area under the graph.
You take this graph, which is the opportunities you are faced with:
And move players so that the results of this graph can get manipulated
So that when you multiply the two graphs, the area under the line is minimized as much as possible.
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