The local little league team has a new coach, and she plans on using statistical analysis to improve their chances of winning. She tracks player tendencies and digs into the work of Bill James to bring a Moneyball approach to the Isotots. Bart laments that she has taken the fun out of the game, which begs the question of the team’s objective function. Are sports teams win-maximizers or should some teams focus on having fun?
At the end of the segment, Bart has a choice to make. Should he take the statistical approach to win the game or should he swing and try to preserve his hot streak. The hot hand fallacy is the belief that previous observations are correlated with upcoming observations. This fallacy leads us to believe batters “get hot” even though the probability of the next hit is independent of the previous ones.