Wednesday, September 20, 2006

If only it were this easy

My daily, baseball must-read this time of year is the postseason odds report on Baseball Prospectus. What the stat heads at BP do is simulate the remainder of the season one million times to come up with the most-accurate projected order of finish.

If only it were that easy.

Nevertheless, as of right now the winner of the National League’s wild card will need 85 victories. So who gets it? Not the Phillies. They finish with 84 wins and have a 36 percent chance to win the wild card.

Here’s how the BP simulation solves the National League:

Average wins by position in NL East:  99.0 83.8 79.8 77.8 70.8
NL East W L Pct3 Avg W Avg L Champions Wild Card Playoffs
Mets 92 58 .552 99.0 63.0 100.00000 .00000 100.00000
Phillies 78 73 .491 83.7 78.3 .00000 36.60086 36.60086
Marlins 74 77 .485 79.4 82.6 .00000 .81411 .81411
Braves 73 78 .480 78.3 83.7 .00000 .05052 .05052
Nationals 66 85 .450 70.8 91.2 .00000 .00000 .00000

Average wins by position in NL Central:  86.5 80.0 77.8 73.2 68.9 66.4
NL Central W L Pct3 Avg W Avg L Champions Wild Card Playoffs
Cardinals 80 69 .478 86.5 75.5 99.66073 .01979 99.68052
Reds 74 77 .468 79.6 82.4 .21103 .43616 .64719
Astros 72 78 .490 78.2 83.8 .12823 .07525 .20348
Brewers 68 83 .452 73.2 88.8 .00000 .00000 .00000
Pirates 64 87 .417 68.6 93.4 .00000 .00000 .00000
Cubs 62 90 .443 66.7 95.3 .00000 .00000 .00000

Average wins by position in NL West:  86.3 84.4 80.2 77.4 75.6
NL West W L Pct3 Avg W Avg L Champions Wild Card Playoffs
Padres 79 71 .525 85.6 76.4 59.25494 25.28678 84.54172
Dodgers 79 72 .530 85.0 77.0 40.30682 35.29052 75.59734
Giants 74 76 .490 80.1 81.9 .42963 1.41416 1.84378
Diamondbacks 71 79 .483 76.4 85.6 .00827 .00922 .01749
Rockies 71 80 .497 76.8 85.2 .00033 .00264 .00298

Average wins by NL Wild Card: 84.9




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.

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