Improved Component Predictions of Batting Measures

Abstract: Standard measures of batting performance such as a batting average and an on-base percentage can be decomposed into component rates such as strikeout rates and home run rates. The likelihood of hitting data for a group of players can be expressed as a product of likelihoods of the component probabilities and this motivates the use of random effects models to estimate the groups of component rates. This methodology leads to accurate estimates at hitting probabilities and good predictions of performance for following seasons. This approach is also illustrated for on-base probabilities and FIP abilities of pitchers.