Tuesday, September 25, 2007

Power Rankings 2007 Week 3

The power rankings for this site were developed in this article. The idea behind them is simple: if each team played one home game and one away game against every other team in the league, who would be the most successful?

The first power rankings use linear regression to predict the final score margins of each such game. The score you see along with the rankings is the sum of all of those expected margins.

The second power rankings use logistic regression to predict the probability of winning. The score you see along with the rankings is the expected win total over a 16-game season based on the expected winning percentages over the 62 games (i.e. the sum of those probabilities).

From here on out, the power rankings will be based on the adjusted VOLA (value over league average) stats.




































Power Rankings, Linear Regression
RankTeamExpected Point Differential
1IND5.1372
2NE4.6963
3PHI4.4882
4DAL4.4489
5HOU4.2759
6JAX2.7364
7DEN2.2194
8PIT2.0808
9SEA1.9967
10WAS1.0809
11NYG0.9683
12TB0.8943
13TEN0.3019
14CAR-0.0282
15MIN-0.3278
16BAL-0.3986
17ARI-0.4182
18ATL-0.4516
19MIA-0.4580
20GB-0.4797
21CLE-1.1080
22CIN-1.4180
23BUF-1.5398
24DET-1.6907
25SD-1.7952
26SF-2.6270
27KC-2.7353
28NYJ-2.9009
29OAK-2.9807
30STL-3.2558
31CHI-5.2796
32NO-5.4321



































Power Rankings, Logistic Regression
RankTeamExpected Wins
1IND10.7001
2DAL10.5789
3PHI10.4336
4NE10.3860
5HOU10.1382
6JAX9.4433
7DEN9.2701
8SEA9.1180
9PIT8.9880
10WAS8.6391
11NYG8.4719
12TB8.2504
13TEN8.1991
14ARI8.1641
15MIN8.0222
16MIA7.9489
17CAR7.8971
18BAL7.6365
19GB7.5572
20ATL7.5167
21DET7.3864
22CLE7.2844
23BUF7.1819
24CIN6.9683
25SD6.7951
26SF6.7815
27KC6.6613
28OAK6.5439
29NYJ6.3535
30STL6.1707
31CHI5.4655
32NO5.0481



Adddition: For those who are curious, here are the rankings based on unadjusted stats.


































Power Rankings, Linear Regression
RankTeamExpected Point Differential
1NE11.2720
2PIT8.1241
3DAL7.4265
4DEN7.1949
5IND7.0557
6TB4.9459
7PHI3.8690
8HOU1.7319
9TEN1.5146
10MIN1.2234
11ARI0.8836
12CAR0.7423
13BAL0.6645
14WAS0.5989
15SEA0.4970
16JAX0.1947
17GB0.1204
18MIA-1.0742
19CIN-1.1317
20NYG-1.3867
21ATL-1.7138
22CLE-2.0001
23DET-2.0462
24KC-2.0476
25SD-3.2215
26STL-3.4520
27OAK-3.6659
28SF-4.5673
29NYJ-6.0060
30CHI-6.0192
31BUF-9.7513
32NO-9.9761



































Power Rankings, Logistic Regression
RankTeamExpected Wins
1NE12.9813
2PIT11.6263
3DAL11.6066
4IND11.3967
5DEN11.3499
6TB10.4152
7PHI10.0796
8ARI8.8136
9MIN8.7847
10HOU8.7794
11TEN8.7690
12CAR8.5410
13WAS8.3187
14SEA8.3100
15BAL8.2196
16JAX8.2002
17GB7.9602
18MIA7.6812
19NYG7.2284
20CIN7.1236
21KC7.0974
22DET7.0924
23CLE7.0654
24ATL6.7873
25OAK6.3478
26SD6.1342
27STL6.0664
28SF5.9218
29CHI5.2842
30NYJ4.9917
31BUF3.6334
32NO3.3927

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