SMRs and AMRs

Wednesday, December 04, 2013

Statistically, Who's the Greatest Person in History?

Why quants can't measure historic significance

BY CASS SUNSTEIN, TNR

Who was the greatest baseball player of all time? Some people say Willie Mays. They emphasize that he had all of baseball’s “five tools”: he could run, hit, field, throw, and hit with power. Other people insist on Ty Cobb, who had the highest career batting average in baseball history. Still others say Cy Young, on the ground that good pitchers are more important than good hitters, and Young won more games than any pitcher who ever lived. Joe DiMaggio has his advocates, who note that he had the longest hitting streak in baseball history, and who emphasize that hitters, unlike pitchers, play every day. Still others say Hank Aaron, who had the most career home runs (except for Barry Bonds, whose all-time record was marred by steroid use).

It is certainly possible to rank baseball players in terms of batting average, wins, hitting streaks, and home runs. But people vigorously disagree about the relationship among those particular rankings and overall “greatness.” Can we mediate these disagreements? Baseball statisticians are trying. After all, the goal of a baseball player is to help his team to win. Maybe we can measure greatness in baseball by exploring how much a player contributes to wins. In fact, a statistical measure called Wins Above Replacement Player (warp) tries to isolate each player’s contribution, by specifying how many wins a player adds, compared with a standardized lesser player (say, a player who does not normally make it into the starting lineup). It turns out that Mays had 156 warp over his career, Cobb 151, Young 168, DiMaggio 78, and Aaron 142. With these numbers, we might be inclined to conclude that Young was baseball’s all-time greatest player (with the exception of Babe Ruth, who heads the warp list at 184).

(More here.)

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