Monday, August 29, 2011

Predicted MLB Playoff Matchups

As I have felt it necessary to update this site with the daily changes in playoff probability for each team, I thought it would also be interesting to update what the likely matchups will be when the post season arrives. I have mentioned in a prior post that the most probable World Series matchup is the Phillies vs. the Yankees, and that remains true today according to my calculations (23.2% of sims). One of the least probable - at least of the matchups which actually occurred once during the 100,000 simulations - is a rematch of last year's World Series (0.1% of sims). Considering San Fran is now 4 games out of the division lead and with their playoff prospects plummeting every day - down 32.8% in the last 7 days - it is very possible they do not even make the playoffs. So maybe 1 in 1000 isn't so far off.

Numbers in parentheses represent the probability of the team winning the matchup.

Thursday, August 18, 2011

Relative Ratings Applied to MLB

As can be found at places like coolstandings or Baseball Prospectus, I also have a methodology - using the Relative Rating method - which calculates the probability a team will make the playoffs. Regardless of the method (standard pythagorean, PECOTA, etc), you can see from clicking on the links and examining the table below, we all come to pretty much the same conclusion: we probably need some kind of division realignment.

Anyway, below you will find my version of the standings ("PWR" is the team's relative rating):

What I also thought would be interesting was to take the method a step further to determine the probability each team has of advancing through the playoffs and ultimately winning the World Series. As popular consensus suggests, a series of Phillies v. Yankees or Phillies v. Red Sox is the most likely matchup, with the Phillies having the best probablility of making it at 53% (roughly 1-1 odds). However, the Yankees at the moment seem to have a slight edge to win it all, with a 32% probability compared to the Phillies 29%. For simplicity (and statistical confidence) sake, they are both likely considered 2-1 odds to win it, which I believe aligns with the betting world.


Tuesday, March 15, 2011

NCAA Tournament 2011 Odds

The following table shows the 25 teams with the best probability of winning the NCAA tournament based on my relative ratings and simulating the bracket one million times:

Note: the play-in round is now technically the 1st round, so the 2nd round is actually the first game played for each of these teams, which is why each team has a 100% probability of making it into the 2nd round.

Team 2nd Rnd 3rd Rnd Sweet 16 Elite 8 Final 4 Champ Win
Ohio St 100.0% 98.8% 83.7% 62.6% 48.9% 31.5% 21.8%
Kansas 100.0% 97.3% 76.6% 57.7% 41.0% 28.4% 15.5%
Duke 100.0% 98.2% 86.3% 56.0% 40.2% 23.3% 14.9%
Pittsburgh 100.0% 94.6% 76.5% 47.6% 31.8% 16.7% 7.3%
Texas 100.0% 88.0% 71.6% 35.0% 23.1% 11.9% 6.9%
San Diego St 100.0% 92.8% 72.1% 49.9% 21.3% 9.7% 5.0%
Purdue 100.0% 91.7% 68.1% 42.5% 19.6% 10.9% 4.3%
Kentucky 100.0% 89.0% 62.8% 23.7% 14.7% 6.8% 3.5%
BYU 100.0% 85.8% 57.6% 37.0% 17.9% 7.8% 2.8%
Notre Dame 100.0% 90.7% 64.8% 34.7% 14.5% 7.3% 2.6%
Louisville 100.0% 86.7% 59.4% 22.6% 11.9% 6.0% 2.1%
Syracuse 100.0% 90.0% 61.7% 34.4% 11.9% 4.7% 2.1%
Wisconsin 100.0% 55.4% 33.1% 16.7% 10.1% 4.6% 1.7%
Florida 100.0% 89.5% 63.3% 32.6% 13.7% 5.1% 1.6%
North Carolina 100.0% 89.3% 52.6% 29.3% 9.7% 3.6% 1.5%
Utah St 100.0% 62.9% 29.8% 13.7% 7.6% 3.1% 1.0%
Washington 100.0% 72.1% 37.1% 19.6% 6.1% 2.1% 0.8%
Belmont 100.0% 44.6% 24.2% 11.1% 6.1% 2.4% 0.8%
Connecticut 100.0% 80.8% 45.0% 19.4% 5.6% 1.8% 0.7%
Gonzaga 100.0% 57.2% 23.7% 12.0% 4.1% 1.3% 0.3%
Cincinnati 100.0% 54.3% 28.4% 11.2% 3.0% 0.8% 0.3%
Illinois 100.0% 50.5% 11.7% 5.5% 2.3% 0.9% 0.2%
UNLV 100.0% 49.5% 11.4% 5.3% 2.2% 0.8% 0.2%
Vanderbilt 100.0% 57.7% 23.0% 5.8% 2.2% 0.8% 0.2%
West Virginia 100.0% 51.8% 18.3% 4.1% 1.7% 0.5% 0.1%