Tuesday, October 9, 2007

Power Rankings 2007 Week 5

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.

For the logisitc regression rankings based on opponent-adjusted stats, the Colts, Pats, and Cowboys form the top 3, though the Pats are #1 in the unadjusted stats power rankings. As it likely should be, Denver falls to #20 while the Chargers climb from the bottom to reach #18. Miami is still unusually high despite being 0-5 (#13). The unadjusted rankings make more sense, putting the Fins at #22 (about where FO's rankings put them). This might be an indictment of the way I adjust for opponent quality. Tampa Bay and Washington are #8 and #5 respectively (kudos to Football Outsiders). Opponent adjustments bring the Vikings down from #7 (really, really strong run defense) to #12.


Based on opponent-adjusted stats



































Power Rankings, Logistic Regression
RankTeamExpected Wins
1IND11.1960
2NE10.8164
3DAL10.1442
4NYG9.8800
5WAS9.8792
6PIT9.6669
7PHI9.5689
8TB9.4077
9JAX9.0579
10SEA8.9058
11HOU8.7405
12MIN8.7397
13MIA8.7044
14TEN8.4941
15GB8.2460
16ARI8.1529
17CLE7.8998
18SD7.8593
19ATL7.7065
20DEN7.6849
21CIN7.5833
22BAL7.0963
23KC7.0530
24DET6.6802
25BUF6.4155
26CAR6.4130
27OAK6.3809
28STL5.9181
29CHI5.6514
30SF5.5273
31NYJ5.5242
32NO5.0057



































Power Rankings, Linear Regression
RankTeamExpected Point Differential
1IND6.8148
2NE5.8376
3DAL4.1081
4NYG3.7282
5WAS3.5712
6PIT3.1057
7PHI2.7101
8TB2.6651
9JAX2.1593
10SEA1.5993
11TEN1.4235
12HOU1.3816
13MIA1.0793
14MIN0.8678
15GB0.7365
16SD0.1476
17ARI0.0165
18CLE-0.0998
19ATL-0.2166
20DEN-0.5562
21CIN-0.6609
22BAL-1.3696
23KC-2.0231
24CAR-3.1265
25BUF-3.1674
26DET-3.1868
27OAK-3.3282
28STL-4.1517
29NYJ-4.5165
30CHI-4.6071
31SF-5.2781
32NO-5.6636


Based on unadjusted stats


































Power Rankings, Logistic Regression
RankTeamExpected Wins
1NE12.1346
2DAL11.6354
3IND11.0115
4PIT10.9498
5TB9.9379
6WAS9.7616
7MIN9.1091
8JAX9.0684
9PHI9.0539
10NYG8.7927
11TEN8.6625
12HOU8.6241
13ARI8.6119
14SEA8.5327
15GB8.1879
16BAL8.1222
17DEN8.0696
18SD7.7974
19MIA7.5571
20CAR7.5435
21DET7.3763
22KC7.3458
23CLE7.0781
24ATL7.0505
25OAK6.8493
26CIN6.6544
27NYJ5.5382
28STL5.5208
29SF5.3025
30CHI5.0989
31BUF4.9965
32NO4.0248





































Power Rankings, Linear Regression
RankTeamExpected Point Differential
1NE8.9585
2DAL7.8410
3IND6.4341
4PIT6.1485
5TB3.5604
6WAS3.5340
7JAX2.2024
8PHI1.7959
9MIN1.6991
10TEN1.5469
11NYG1.4447
12HOU1.2199
13SEA1.0339
14ARI0.8937
15GB0.6481
16BAL0.5864
17DEN0.0700
18SD-0.1107
19CAR-1.1566
20ATL-1.4169
21MIA-1.4296
22KC-1.5473
23DET-1.6314
24CLE-1.8795
25OAK-2.2035
26CIN-2.5017
27NYJ-4.5871
28STL-4.8010
29SF-5.8941
30CHI-5.8992
31BUF-6.5439
32NO-8.0149

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