We have developed a sophisticated statistical model for predicting the
hitting performance of Major League baseball players. The Bayesian paradigm
provides a principled method for balancing past performance with crucial covari-
ates, such as player age and position. We share information across time and across
players by using mixture distributions to control shrinkage for improved accuracy.
We compare the performance of our model to current sabermetric methods on a
held-out season (2006), and discuss both successes and limitations.