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OPS: Begone!
December 25, 2003 - Julio Rojas
Hi guys. I´m just doing a little analysis on the relation between OBA and SLG. I took a nonparametrical approach to estimate the density of the ratio between SLG and OBA. Because we would like to have some sort of coefficient to use as a multiplier for OBA, I tried using SLG/OBA (this way xOBA=SLG). I took the 165 players that qualified for this year "batting title", calculated this ratio and, using kernel smoothing, estimated the probability density. One should expect to have a unimodal density (almost a normal density, one value being notoriously bigger than the rest), but I found a bimodal density. The modes were around 1.2 and 1.45, which are far from the estimates you have, and from the value you expect for a bigger sample. I don't know how well this result fix the problem, but it generates a bigger problem, because the bimodal density only says there are two very definite groups which should be treated and analysed with different coefficients. Well, my two cents. Sorry for my poor english.
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