Comparing baseball players across eras via the novel Full House Model

We motivate a new methodological framework for era-adjusting baseball statistics. Our methodology is a crystallization of the conceptual ideas put forward by Stephen Jay Gould. We name this methodology the Full House Model in his honor. The Full House Model works by balancing the achievements of Major League Baseball (MLB) players within a given season and the size of the MLB eligible population. We demonstrate the utility of our Full House Model in an application of comparing baseball players' performance statistics across eras. Our results reveal a radical reranking of baseball's greatest players that is consistent with what one would expect under a sensible uniform talent generation assumption. Most importantly, we find that the greatest African American and Latino players now sit atop the greatest all-time lists of historical baseball players while conventional wisdom ranks such players lower. Our conclusions largely refute a consensus of baseball greatness that is reinforced by nostalgic bias, recorded statistics, and statistical methodologies which we argue are not suited to the task of comparing players across eras.