Enter the Pythangorian Win Expectation and Log5 formulas.
For those who are currently thinking of jokes of my dorkdom, Pythagorian Win Expectation (PWE) takes a team's runs scored and runs against, and spits out an expected win percentage. It gets its name from looking somewhat like that old Pythagorian Theorem we all learned in trigonometry (a^2 + b^2 = c^2):
PWE = (R^2) / (R^2 + RA^2),
where R is runs for and RA is runs against. Further research on the subject showed that a more accurate exponent is 1.81 instead of 2. A different exponent can also be used for college basketball (somewhere between 8 and 9) and the NBA (somewhere between 14.5 and 16).
The Log5 formula comes from the Godfather of Sabermetrics, Bill James. Based on the Bayes Theorem, this formula is used to find win probability of two teams when they meet. If Team A and Team B played each other, the probability of Team A is given by
P(A) = (A - A * B) / (A + B - 2*A*B),
where A is Team A's win percentage, and B is Team B's win percentage.
So now we have an decent estimation of a team's ability to win games, and a way to estimate the probability of who will win a game between two teams. All there is left to do is throw the remainder of the MLB schedule into the hopper and see what we come up with (h/t to Daily Baseball Data for putting the entire MLB schedule in Excel format).
| American League | | |
| EAST | W | L |
| Boston | 98.5 | 62.5 |
| NY Yankees | 96.1 | 62.9 |
| Tampa Bay | 84.8 | 76.2 |
| Toronto | 81.4 | 81.6 |
| Balimore | 63.4 | 96.6 |
| CENTRAL | | |
| Detroit | 84.5 | 77.5 |
| Cleveland | 84.3 | 77.7 |
| Chicago Sox | 79.3 | 82.7 |
| Minnesota | 72.6 | 88.4 |
| Kansas City | 67.1 | 94.9 |
| WEST | | |
| Texas | 93.5 | 69.5 |
| LA Angels | 82.0 | 81.0 |
| Oakland | 72.0 | 91.0 |
| Seattle | 70.5 | 90.5 |
| National League | | |
| EAST | | |
| Philadelphia | 100.6 | 62.4 |
| Atlanta | 94.1 | 68.9 |
| NY Mets | 81.3 | 81.7 |
| Washington | 79.3 | 83.7 |
| Florida | 75.7 | 87.3 |
| CENTRAL | | |
| Pittsburgh | 85.2 | 75.8 |
| St. Louis | 85.7 | 77.3 |
| Milwaukee | 84.2 | 77.8 |
| Cincinnati | 83.4 | 79.6 |
| Chicago Cubs | 64.4 | 98.6 |
| Houston | 57.3 | 105.7 |
| WEST | | |
| San Francisco | 91.1 | 71.9 |
| Arizona | 85.7 | 77.3 |
| Colorado | 79.7 | 83.3 |
| San Diego | 71.7 | 91.3 |
| LA Dodgers | 70.7 | 91.3 |
I do give my apologies, because this table was made in the middle of a day of games. I don't have time to wait until midnight for all the games to be over, nor the time in the morning to get it done before the early afternoon games start. This also skews the run totals a bit, but not a whole lot for our analysis.
In a showing of how the futile the Cubs are this year, the first thing I noticed was that they are, on average, not headed for a 100-loss season. Around the league, here now are the storylines I will be looking for the rest of the season:
- The reigning pennant winners, the Rangers and the Giants, will run away with their respective divisions.
- The AL East will once again take two playoff spots, leaving Detroit and Cleveland fighting for one spot while Boston, New York and Tampa fight for two spots
- With the East Coast Bias of the media, the watch will be on to see if the Phillies will win 100 games for the first time since 1977
- The exciting 4-team race for the NL Central, which includes the Pirates quest for their first winning season since Barry Bonds was skinny (1992).
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