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View Full Version : Bill James' Pythagorean Theory



Clay Dreslough
08-07-2002, 12:16 AM
According to Bill James, Runs Scored divided by Runs Allowed is pretty much all you need to determine how many games a team will win. In any given year, he says, a team's winning percentage will equal (Runs Scored Squared) / [(Runs Scored Squared) + (Runs Allowed Squared)].

Sounds simple. Score runs. Prevent runs. Win ball games.

According to this formula, the Red Sox should be the winningest team in the American League. Here are some AL teams with their predicted winning percentage by this formula (and their actual percentage in parentheses):

Red Sox .645 (.586)
Yankees .619 (.622)
Mariners .616 (.611)
Angels .603 (.595)
Twins .551 (.605)
Athletics .548 (.575)

So, most teams are "where they should be" while the Twins and A's are way ahaed. And the Sox are a whopping 7 games behind their projected mark!

This basically means the Red Sox are losing close games that they "should" win.

Is it the bullpen? Bad managing? The Curse?

Not sure, but doesn't it seem like the Sox under-perform in this way every year?

Clay

Clay Dreslough
08-08-2002, 11:41 PM
Jim Grassi writes:

When working at Stormfront, I had to come up with a way to pick manager of the year. I didn't give it that much effort, but came up with the formula:

Wins*(Team ERA/Team Batting Average)

The idea being that if you had a lousy ERA and low batting average but still managed to win games, you had to be a good manager. Since at this point in the season the teams have played a different number of games, I will substitute winning percentage for games won (which is effectively the same thing if every team has played the same number of games).

Based on that and the USA today reported team statistics as of 08aug2002 you get


Minnesota 0.605*4.27/0.278=9.2926
New York 0.622*4.15/0.278=9.2852
Cleveland 0.441*5.04/0.249 =8.9262
Oakland 0.575*3.92/0.259=8.7027
Toronto 0.450*4.98/.258 =8.6860
Seattle 0.611*3.88/0.277=8.5584
Chicago 0.465*4.84/0.265=8.4928
Texas 0.420*5.26/0.264 =8.3682
Anaheim 0.598*3.85/0.278 =8.28
Kansas City 0.407*5.07/0.250=8.25396
Boston 0.596*3.83/0.281=8.12
Baltimore 0.482*4.26/0.258 =7.9586
Detroit 0.375*4.77/0.257 =6.9601
Tampa Bay 0.330*5.18/0.250=6.8376