Playing the rest of the season a million times
by Clay Davenport
See the PECOTA-adjusted version of this report.
Generated Thu Jul 20 08:02:19 PDT 2006
Average wins by position in AL East: 98.6 93.5 87.1 72.1 65.0
AL East W L Pct3 Avg W Avg L Champions Wild Card Playoffs
Red Sox 57 36 .571 95.4 66.6 45.19242 16.38466 61.57708
Yankees 55 37 .599 95.6 66.4 48.22742 15.27583 63.50324
Blue Jays 52 42 .567 88.2 73.8 6.57947 5.28259 11.86205
Orioles 44 53 .457 71.1 90.9 .00070 .00060 .00130
Devil Rays 39 56 .433 66.0 96.0 .00000 .00000 .00000
Average wins by position in AL Central: 102.0 95.1 87.8 77.8 57.3
AL Central W L Pct3 Avg W Avg L Champions Wild Card Playoffs
Tigers 63 31 .583 101.0 61.0 75.98583 15.91774 91.90357
White Sox 58 35 .564 95.4 66.6 21.66135 38.72691 60.38826
Twins 53 40 .534 88.3 73.7 2.34447 8.26820 10.61267
Indians 42 52 .550 78.1 83.9 .00835 .06888 .07723
Royals 32 62 .409 57.4 104.6 .00000 .00000 .00000
Average wins by position in AL west: 87.7 83.3 79.7 74.9
AL West W L Pct3 Avg W Avg L Champions Wild Card Playoffs
Athletics 50 45 .489 81.3 80.7 18.97909 .01932 18.99841
Rangers 49 46 .552 84.5 77.5 44.27112 .02762 44.29874
Angels 48 46 .543 83.1 78.9 32.31281 .02608 32.33889
Mariners 45 50 .499 76.7 85.3 4.43698 .00158 4.43856
Average wins by AL Wild Card: 96.4
Average wins by position in NL East: 95.1 82.6 77.7 73.5 68.5
NL East W L Pct3 Avg W Avg L Champions Wild Card Playoffs
Mets 56 38 .543 95.0 67.0 96.93737 1.48927 98.42664
Braves 45 50 .498 80.7 81.3 2.30925 13.00590 15.31516
Phillies 43 50 .452 75.5 86.5 .33865 2.03124 2.36989
Marlins 42 51 .471 76.0 86.0 .39544 2.47708 2.87252
Nationals 40 56 .441 70.1 91.9 .01929 .09292 .11221
Average wins by position in NL Central: 89.6 84.5 80.0 75.6 69.0 62.3
NL Central W L Pct3 Avg W Avg L Champions Wild Card Playoffs
Cardinals 53 41 .482 87.6 74.4 59.71596 13.52770 73.24366
Reds 50 45 .492 84.9 77.1 31.48814 18.68027 50.16841
Astros 46 49 .457 78.1 83.9 3.97869 3.75860 7.73729
Brewers 46 50 .463 78.5 83.5 4.77045 4.25809 9.02854
Cubs 36 57 .441 68.5 93.5 .04529 .03537 .08067
Pirates 34 62 .425 63.4 98.6 .00147 .00029 .00176
Average wins by position in NL West: 88.5 84.6 81.9 79.1 75.5
NL West W L Pct3 Avg W Avg L Champions Wild Card Playoffs
Padres 50 44 .513 85.3 76.7 42.77600 10.49519 53.27119
Giants 48 47 .488 81.6 80.4 15.96965 8.43632 24.40598
Diamondbacks 47 47 .484 81.0 81.0 13.82876 7.02709 20.85585
Dodgers 47 48 .509 82.1 79.9 18.46522 9.42363 27.88885
Rockies 45 49 .497 79.7 82.3 8.96036 5.26104 14.22140
Average wins by NL Wild Card: 86.7
As the title says, the post-season odds report was compiled by running a Monte
Carlo simulation of the rest of the season one million times. Current wins,
losses and expected winning percentages are taken from the Adjusted
Standings Report.
Expected winning percentages (EWP) for each team starts with their W3 and L3 from the Adjusted Standings. A regression is applied to derive the EWP for the rest of the season, which is going to be between the current winning percentage and .500. To allow for uncertainty in the EWP, a normal distribution centered on the EWP is randomly sampled, and that value is used for the remainder of the season in that iteration. To simulate the normal 4% home-field advantage, the home team gets a .020 point bonus, while the visitors take a 0.020 penalty. The likelihood of winning each game is determined by the log5 method. W and L are the team's wins and losses through yesterday's games.
Pct3 is the expected winning percentage, taken from W3 and L3, with the regression-to-mean component.
Avg W and Avg L are the average number of wins and losses each team finishes over the million season iterations.
Champions is how often, in percentage terms, this team won the championship of their division. Ties are not broken, but credited as 0.5 championships apiece (for a two-way tie), .333 apiece for a three-way tie, .25 for four-way, etc. This is why the final decimal place is not an error!
Wild Card is how often, in percentage terms, this team won the wild card. As with championships, ties are not broken, but apportioned among the tied teams.
Playoffs is how often, in percentage terms, the team either wins the division or the wild card.