Showing posts with label logistic regression. Show all posts
Showing posts with label logistic regression. Show all posts

Wednesday, January 2, 2008

Power Rankings 2007 Week 17

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 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).




































Power Rankings, Opponent-adjusted
RankTeamExpected Wins
1NE10.5759
2IND10.3170
3DAL10.1534
4PIT9.8614
5TB9.5910
6JAX9.5862
7GB9.2658
8WAS9.1119
9MIN9.1075
10PHI9.0675
11SD8.7100
12NYG8.6673
13TEN8.4478
14SEA8.3719
15DEN8.2001
16HOU7.9178
17CLE7.7195
18CIN7.5846
19CAR7.4754
20ARI7.3438
21BUF7.2895
22NO7.2215
23ATL7.1775
24DET7.1663
25BAL6.7068
26NYJ6.6356
27CHI6.5820
28STL6.4483
29KC6.2941
30MIA6.1462
31SF5.6674
32OAK5.5888





































Power Rankings, Unadjusted
RankTeamExpected Wins
1NE10.5837
2PIT10.2658
3IND10.1597
4DAL10.0700
5TB9.8437
6MIN9.6704
7GB9.5724
8JAX9.5190
9SEA8.8647
10SD8.8134
11PHI8.7488
12WAS8.7349
13NYG8.5790
14TEN8.4120
15DEN8.2860
16CLE8.2273
17CIN7.9928
18ARI7.8841
19HOU7.6742
20NO7.3013
21CAR7.1811
22DET7.0157
23ATL6.9466
24BUF6.8609
25NYJ6.6046
26BAL6.5961
27STL6.4422
28KC6.1708
29CHI6.1171
30MIA5.7952
31OAK5.5368
32SF5.5296


Read More......

Tuesday, December 25, 2007

Power Rankings 2007 Week 16

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 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).





































Power Rankings, Opponent-adjusted
RankTeamExpected Wins
1NE10.9184
2IND10.6703
3DAL10.4441
4TB9.8023
5JAX9.6747
6PIT9.4925
7MIN9.1715
8PHI9.1059
9GB9.0902
10SD8.9651
11WAS8.8545
12SEA8.4820
13NYG8.3811
14TEN8.1760
15DEN7.9775
16HOU7.8321
17CLE7.6168
18CIN7.4845
19NO7.3679
20DET7.3406
21CAR7.3120
22BUF7.2980
23ARI7.1704
24ATL7.0634
25BAL6.9607
26STL6.5877
27CHI6.5075
28KC6.4352
29NYJ6.3864
30MIA6.2834
31SF5.7132
32OAK5.4341





































Power Rankings, Unadjusted
RankTeamExpected Wins
1NE10.9108
2IND10.4595
3DAL10.3775
4TB9.9997
5MIN9.8078
6PIT9.7576
7JAX9.6016
8GB9.3454
9SEA8.9187
10SD8.8611
11PHI8.7189
12WAS8.5318
13NYG8.4430
14DEN8.2738
15TEN8.2570
16CLE8.0482
17CIN7.8102
18HOU7.6528
19ARI7.6204
20NO7.2802
21DET7.2723
22CAR7.0987
23BAL7.0671
24BUF6.9034
25ATL6.8773
26STL6.6190
27NYJ6.2978
28KC6.2621
29CHI5.9982
30MIA5.9183
31SF5.6119
32OAK5.3978


Read More......

Tuesday, December 18, 2007

Power Rankings 2007 Week 15

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 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).





































Power Rankings, Unadjusted
RankTeamExpected Wins
1NE10.7795
2DAL10.5095
3IND10.4331
4MIN10.1635
5TB10.0476
6PIT9.8106
7GB9.4977
8JAX9.0800
9SEA8.8732
10SD8.7411
11PHI8.5580
12DEN8.4992
13WAS8.3256
14TEN8.2315
15NYG8.1936
16CLE8.1169
17HOU7.8518
18CIN7.6882
19ARI7.6803
20NO7.4573
21DET7.2631
22BUF7.1796
23BAL7.1213
24CAR7.1122
25ATL6.7046
26STL6.6001
27NYJ6.2123
28KC6.0553
29MIA6.0417
30OAK5.8586
31CHI5.7423
32SF5.5710




































Power Rankings, Opponent-adjusted
RankTeamExpected Wins
1NE10.9732
2IND10.6267
3DAL10.5591
4TB9.9386
5PIT9.6408
6MIN9.4450
7JAX9.4199
8GB9.3922
9PHI8.9921
10SD8.8438
11WAS8.5297
12SEA8.3678
13TEN8.2583
14NYG8.1932
15DEN8.1181
16HOU7.8097
17CLE7.7665
18DET7.5346
19BUF7.4797
20NO7.4048
21CIN7.3765
22ARI7.3366
23CAR7.1503
24BAL6.9467
25ATL6.8989
26STL6.4431
27KC6.3914
28NYJ6.2920
29CHI6.2671
30MIA6.2115
31OAK5.8398
32SF5.5523


Read More......

Tuesday, December 11, 2007

Power Rankings 2007 Week 14

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 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).





































Power Rankings, Opponent-adjusted
RankTeamExpected Wins
1NE10.9917
2DAL10.8534
3IND10.6660
4PIT9.9950
5TB9.9396
6GB9.6261
7MIN9.4555
8JAX9.1018
9PHI8.8448
10SD8.5902
11SEA8.5582
12NYG8.4449
13WAS8.3827
14DEN8.3703
15TEN8.2756
16DET7.8931
17BUF7.7278
18CLE7.6245
19CIN7.5566
20ARI7.5225
21HOU7.3846
22NO7.1999
23BAL7.0026
24CAR6.8037
25ATL6.6809
26CHI6.4073
27KC6.2831
28MIA6.2465
29NYJ6.2225
30STL6.1820
31OAK5.6712
32SF5.4952




































Power Rankings, Unadjusted
RankTeamExpected Wins
1DAL10.7944
2NE10.7207
3IND10.4349
4PIT10.3109
5TB10.0348
6MIN9.9974
7GB9.6121
8SEA9.0437
9JAX8.9223
10DEN8.7471
11SD8.4706
12PHI8.4676
13NYG8.4518
14TEN8.1530
15WAS8.1198
16CLE7.8871
17ARI7.8171
18CIN7.6125
19HOU7.5984
20DET7.5810
21BUF7.3879
22NO7.2593
23BAL7.0096
24CAR6.9199
25ATL6.7258
26STL6.4545
27NYJ6.2821
28KC6.0006
29CHI5.9061
30MIA5.9046
31OAK5.8811
32SF5.4911

Read More......

Tuesday, December 4, 2007

Power Rankings 2007 Week 13

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 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).





































Power Rankings, Opponent-adjusted
RankTeamExpected Wins
1DAL11.2079
2NE10.8186
3IND10.3761
4TB9.9500
5PIT9.8970
6MIN9.5840
7GB9.4376
8PHI8.8882
9SD8.6438
10JAX8.6307
11NYG8.5136
12SEA8.4706
13WAS8.3979
14TEN8.2366
15DEN7.7704
16CLE7.7464
17ARI7.6760
18CIN7.4911
19DET7.3911
20HOU7.3772
21BUF7.3031
22BAL7.1272
23CAR7.0606
24ATL7.0049
25NO6.9037
26MIA6.8243
27KC6.6999
28CHI6.4554
29STL6.4279
30NYJ6.2846
31OAK5.8642
32SF5.5392





































Power Rankings, Unadjusted
RankTeamExpected Wins
1DAL11.1339
2NE10.8625
3PIT10.6398
4IND10.1367
5TB10.1171
6MIN9.8523
7GB9.1847
8SEA8.9511
9PHI8.5295
10SD8.5163
11JAX8.5104
12NYG8.4719
13TEN8.2418
14ARI8.0126
15DEN7.9752
16WAS7.9187
17HOU7.6785
18CLE7.6648
19BAL7.4479
20DET7.4054
21CAR7.3351
22CIN7.2654
23ATL6.9836
24NO6.8303
25BUF6.6862
26KC6.6477
27STL6.6255
28MIA6.3597
29NYJ6.2952
30OAK6.2507
31CHI5.9139
32SF5.5559

Read More......

Monday, November 26, 2007

Power Rankings 2007 Week 12

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 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).




































Power Rankings, Opponent-adjusted
RankTeamExpected Wins
1NE11.2441
2DAL11.1332
3IND10.6209
4PIT9.9642
5TB9.9244
6GB9.3945
7MIN9.3234
8PHI9.0560
9WAS8.8586
10NYG8.7037
11SEA8.4958
12SD8.4589
13JAX8.3526
14TEN8.1060
15DEN8.0833
16CLE7.7783
17DET7.6137
18ARI7.6130
19MIA7.6014
20HOU7.5289
21CIN7.2008
22ATL7.1665
23NO6.9120
24KC6.9006
25CAR6.8935
26BUF6.8154
27BAL6.5092
28CHI6.4680
29STL6.2714
30NYJ5.7587
31SF5.6797
32OAK5.5694




































Power Rankings, Unadjusted
RankTeamExpected Wins
1NE11.3002
2DAL11.2019
3PIT10.7758
4IND10.3835
5TB9.9057
6MIN9.4825
7GB9.4620
8SEA9.0465
9PHI8.5803
10JAX8.4789
11NYG8.4063
12WAS8.2131
13SD8.1418
14DEN8.1411
15TEN8.0375
16ARI7.9962
17DET7.9144
18HOU7.8943
19CLE7.6587
20CIN7.2868
21BAL7.2055
22NO7.1142
23ATL7.0253
24KC6.9362
25CAR6.9291
26MIA6.8095
27STL6.3635
28BUF6.2475
29OAK5.9599
30CHI5.8376
31SF5.7099
32NYJ5.5542

Read More......

Tuesday, November 20, 2007

Power Rankings 2007 Week 11

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 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).




































Power Rankings, Opponent-adjusted
RankTeamExpected Wins
1NE11.4795
2DAL11.3244
3IND10.7248
4TB10.2407
5PIT9.8901
6MIN9.1499
7GB9.0889
8NYG8.8950
9PHI8.8749
10WAS8.7871
11SEA8.3319
12TEN8.3209
13JAX8.1216
14SD8.1022
15DEN7.9506
16ARI7.8998
17DET7.7828
18CLE7.7737
19MIA7.5919
20HOU7.5603
21CAR7.3835
22BUF7.1744
23ATL7.0890
24CIN7.0321
25KC6.9455
26BAL6.7021
27CHI6.5708
28NO6.4245
29STL6.1375
30NYJ5.8191
31SF5.5370
32OAK5.2937




































Power Rankings, Unadjusted
RankTeamExpected Wins
1NE11.6398
2DAL11.1056
3PIT10.8020
4IND10.3668
5TB10.1863
6MIN9.4168
7GB9.1591
8SEA8.8782
9PHI8.6894
10NYG8.6627
11DET8.3091
12TEN8.2302
13WAS8.1641
14JAX8.1178
15HOU8.0090
16ARI7.8899
17SD7.8145
18DEN7.7899
19CLE7.5595
20BAL7.4997
21CAR7.3289
22ATL7.1751
23CIN7.0558
24KC7.0239
25MIA6.8786
26NO6.5305
27BUF6.4760
28STL6.4508
29CHI5.9604
30NYJ5.6965
31OAK5.5697
32SF5.5634

Read More......

Tuesday, November 13, 2007

Power Rankings 2007 Week 10

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 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).

New England is mediocre in run offense and defense according to yards per play. That is the sole reason they are #2 to Dallas. Indy and San Diego stay more or less in place despite sloppy games. Minnesota is still really high because Adrian Peterson has been so ridiculously good and so has their run defense. By yards per play, they are 43% above league average running the ball and 27% above league average stopping the run. They are 16% and 7% below average in pass offense and defense respectively. Philadelphia is at #9 and looks poised to make a comeback in the division, though the ranking seems to be based a lot on the strength of their running game. Similarly, Miami is considered a middle of the pack team with 4.6 yards per carry on offense and an improving but still sucky defense.



































Power Rankings, Opponent-adjusted
RankTeamExpected Wins
1DAL11.6155
2NE11.4932
3IND11.0721
4PIT10.4505
5TB10.0557
6MIN9.2326
7GB9.1011
8NYG9.0704
9PHI8.8011
10TEN8.7476
11SEA8.4169
12WAS8.3712
13JAX8.2691
14SD7.9571
15ARI7.9354
16CLE7.7619
17DEN7.7385
18MIA7.6025
19DET7.5167
20CAR7.4233
21ATL7.3070
22HOU7.2890
23BUF7.1928
24CIN7.0074
25BAL6.7075
26NO6.6808
27KC6.4052
28CHI6.3966
29STL6.2136
30SF5.5396
31NYJ5.3895
32OAK5.2385

Read More......

Tuesday, November 6, 2007

Power Rankings 2007 Week 9

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 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).

After making a huge comeback to #6, San Diego drops down to the middle of the pack. And somehow Dallas vaulted over New England and Indianapolis to take the #1 spot. Minnesota and the Giants are surprisingly strong despite spotty QB play.



































Power Rankings, Opponent-adjusted
RankTeamExpected Wins
1DAL11.6828
2NE11.5958
3IND11.3737
4PIT10.2007
5TB10.0710
6MIN9.4761
7NYG9.0151
8TEN8.9846
9GB8.6627
10WAS8.5938
11PHI8.5899
12SEA8.5218
13JAX8.2240
14CLE7.7882
15SD7.7499
16DET7.7243
17MIA7.7148
18CAR7.6460
19ARI7.5698
20DEN7.3299
21HOU7.2592
22BUF7.2020
23ATL7.1826
24CIN7.0208
25NO7.0126
26KC6.6185
27BAL6.6078
28CHI6.2554
29STL5.9045
30OAK5.7940
31NYJ5.4532
32SF5.1744

Read More......

Tuesday, October 30, 2007

Power Rankings 2007 Week 8

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 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).

San Diego is making a huge comeback to #6 after being bottom of the barrel to start. The Saints are climbing upwards from dead last towards mediocrity.



































Power Rankings, Opponent-adjusted
RankTeamExpected Wins
1NE11.5856
2IND11.5305
3DAL11.0685
4TB10.0434
5PIT9.6449
6SD8.9480
7TEN8.8901
8NYG8.8737
9WAS8.8413
10PHI8.6632
11SEA8.6215
12JAX8.6040
13GB8.4589
14MIN8.3500
15CIN7.9932
16DEN7.8561
17CLE7.7744
18ARI7.6103
19MIA7.5862
20CAR7.3970
21DET7.3160
22HOU7.2904
23BAL6.9235
24KC6.9199
25NO6.8708
26ATL6.7046
27BUF6.6202
28CHI6.1950
29OAK6.1287
30STL6.0256
31NYJ5.4028
32SF5.2618

Read More......

Sunday, October 28, 2007

Win Probabilities and Expected Wins 2007 - Week 8

The following table lists the probabilities that the home team would win each game given the rushing averages, passing averages (includes sack yards lost and sacks as pass attempts), sack rates, third down conversion rates, penalty yards, and interception and fumble rates (by number of completions and rushing plays) for both teams. A logistic regression model trained on 1996-2006 data computes the probabilities. The final score margin is Home team points - Away team points. The sum of these probabilities of victory form the expected win totals in the second table after the jump. The tables will be updated as more box scores come in. By the way, Detroit's expected win total projects out to 10 wins. "The scary thing is that Jon Kitna was right!" "I know, kids. I'm scared, too." They're 3 or 4 wins from a playoff berth with 9 games to go. I won't brag yet, but it's lookin' good.

















Home TeamAway TeamP(Home Team Won) (%)Final Score Margin
STLCLE38.2935-7
CHIDET1.9709-9
SFNO1.4568-21
SDHOU99.456325
CARIND1.7713-24
MIANYG84.6793-3
MINPHI7.4477-7
CINPIT10.8698-11
TENOAK92.06234
NYJBUF1.4476-10
TBJAX59.7037-1
NEWAS99.873645
DENGB5.5953-6


Teams that "should have" won but didn't

Miami Dolphins (vs. Giants), Win Prob = 84.6973% Pardon my language, but **** me... Miami loses 2 of their 4 fumbles; the Giants lose only 1 of their 3 fumbles, one of which bounced directly into their O-lineman's hands. The Giants had a strong rushing game (5.1 ypc vs. 4.1), but Eli Manning managed only 2.13 yards/pass compared to Lemon's 4.45 yards/pass. So despite the lack of Ronnie Brown, they managed to outplay the Giants and still lose. This team is not an 0-16 team, not even a 1-15 team, but their terrible "luck" might make them 1-15. And by luck, I just mean that their good plays are coming more regularly but they're not coming in large enough bunches to amount to overall success.

Tampa Bay Buccaneers (vs. Jaguars), Win Prob = 59.7037% 6.47 yards/carry vs. 3.02. 5.79 yards/pass vs. 4.78. The Bucs, however, threw 3 picks. The Jags fumbled once but recovered it. That was the difference in the game.

Even without the 82-yard pass, Green Bay is pegged as having had a 76% chance of winning that game.





















































TeamActual WinsExpected WinsProjected Win Total
AFC East
BUF3.02.86846.5564
MIA0.02.50355.0071
NE8.07.641815.2835
NYJ1.01.58043.1609
AFC North
BAL4.03.57398.1690
CIN2.02.66226.0851
CLE4.03.40827.7903
PIT5.05.404212.3525
AFC South
HOU3.02.88805.7759
IND7.06.311014.4251
JAX5.04.389910.0340
TEN5.04.24609.7051
AFC West
DEN3.02.77846.3506
KC4.04.04519.2460
OAK2.02.27885.2088
SD4.04.20579.6131
NFC East
DAL6.05.594512.7875
NYG6.04.41918.8382
PHI3.04.424310.1127
WAS4.03.51018.0232
NFC North
CHI3.01.43552.8710
DET5.04.398310.0532
GB6.04.417010.0960
MIN2.02.60315.9500
NFC South
ATL1.03.08757.0572
CAR4.02.91836.6703
NO3.02.97116.7911
TB4.04.93719.8741
NFC West
ARI3.02.58305.9040
STL0.02.16164.3232
SF2.01.12212.5649
SEA4.04.631710.5868

Read More......

Tuesday, October 23, 2007

Win Probabilities and Expected Wins 2007 - Week 7

Night games, commentary, and expected wins table added.
The following table lists the probabilities that the home team would win each game given the rushing averages, passing averages (includes sack yards lost and sacks as pass attempts), sack rates, third down conversion rates, penalty yards, and interception and fumble rates (by number of completions and rushing plays) for both teams. A logistic regression model trained on 1996-2006 data computes the probabilities. The final score margin is Home team points - Away team points. The sum of these probabilities of victory form the expected win totals in the second table to be added after the Monday night game. The first table will be updated as more box scores come in.

















Home TeamAway TeamP(Home Team Won) (%)Final Score Margin
BUFBAL77.47585
DETTB64.66207
OAKKC33.6400-2
SEASTL97.980527
MIANE1.2794-21
NOATL71.45816
NYGSF97.301418
HOUTEN7.1356-2
WASARI60.53032
PHICHI61.6652-3
CINNYJ97.89117
DALMIN97.716710
DENPIT40.18223
JAXIND2.9836-22


Teams that "should have" won but didn't
Philadelphia Eagles (vs. Bears), Win Prob = 61.6652% Astoundingly, Chicago had a better passing game than the Eagles (7.48 yards/pass vs. 5.7), but Chicago's one fumble (which they recovered) probably a large factor in this probability (without it, P(Eagles win) goes down to about 48%). Philly was much better in the running game (4.92 yards/rush vs. 3.23). But given that the game turned on that one recovered fumble, it's not surprising the game ended up being won by 3 points.

Pittsburgh Steelers (@ Broncos), Win Prob = 59.8178% Denver recovered both of their fumbles. Otherwise, Denver did indeed outperform Pittsburgh.





















































TeamActual WinsExpected WinsProjected Win Total
AFC East
BUF2.01.88295.0211
MIA0.01.65683.7869
NE7.06.643015.1841
NYJ1.01.56603.5793
AFC North
BAL4.03.57398.1690
CIN2.02.55356.8094
CLE3.02.79127.4431
PIT4.04.512912.0345
AFC South
HOU3.02.88256.5886
IND6.05.328714.2098
JAX4.03.986910.6318
TEN4.03.32548.8676
AFC West
DEN3.02.72247.2598
KC4.04.04519.2460
OAK2.02.19955.8652
SD3.03.21128.5631
NFC East
DAL6.05.594512.7875
NYG5.04.26599.7506
PHI2.03.49889.3300
WAS4.03.50899.3570
NFC North
CHI3.01.41583.2361
DET4.03.41809.1146
GB5.03.47299.2612
MIN2.02.52876.7431
NFC South
ATL1.03.08757.0572
CAR4.02.90057.7348
NO2.01.98575.2951
TB4.04.34009.9200
NFC West
ARI3.02.58305.9040
STL0.01.77874.0656
SF2.01.10762.9535
SEA4.04.631710.5868


Read More......

Power Rankings 2007 Week 7

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 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). Adjusted and unadjusted rankings included.




































Power Rankings, Logistic Regression
RankTeamExpected Wins
1IND11.4905
2NE11.0967
3DAL11.0366
4TB9.7785
5PIT9.5315
6WAS9.3918
7NYG9.1441
8TEN9.0731
9JAX8.7938
10SD8.7205
11SEA8.4443
12PHI8.4076
13MIN8.4011
14GB8.3821
15DEN8.2858
16ARI7.9302
17CIN7.8663
18CLE7.7844
19HOU7.6298
20MIA7.3475
21CAR7.2920
22DET7.2118
23KC7.0735
24BAL6.8962
25ATL6.8204
26NO6.5023
27CHI6.2434
28BUF6.1996
29STL6.0449
30OAK5.9200
31NYJ5.6766
32SF5.5834




































Power Rankings, Opponent-adjusted
RankTeamExpected Wins
1IND11.4905
2NE11.0967
3DAL11.0366
4TB9.7785
5PIT9.5315
6WAS9.3918
7NYG9.1441
8TEN9.0731
9JAX8.7938
10SD8.7205
11SEA8.4443
12PHI8.4076
13MIN8.4011
14GB8.3821
15DEN8.2858
16ARI7.9302
17CIN7.8663
18CLE7.7844
19HOU7.6298
20MIA7.3475
21CAR7.2920
22DET7.2118
23KC7.0735
24BAL6.8962
25ATL6.8204
26NO6.5023
27CHI6.2434
28BUF6.1996
29STL6.0449
30OAK5.9200
31NYJ5.6766
32SF5.5834





































Power Rankings, Unadjusted
RankTeamExpected Wins
1NE11.4613
2IND11.1798
3DAL11.0478
4PIT10.6005
5TB9.6857
6WAS9.3622
7NYG9.2132
8PHI9.0649
9SD9.0305
10SEA8.8872
11MIN8.6806
12TEN8.6470
13JAX8.4937
14BAL8.3515
15CAR8.2901
16GB8.0074
17DEN7.9614
18ARI7.8753
19DET7.6292
20KC7.6011
21CIN7.5983
22CLE7.5684
23HOU7.4236
24ATL6.7335
25MIA6.4393
26OAK6.2238
27STL5.7106
28NO5.6194
29NYJ5.4792
30SF5.4567
31CHI5.4103
32BUF5.2663

Read More......

Tuesday, October 16, 2007

Win Probabilities and Expected Wins 2007 - Week 6

Sunday night game and commentary (you'll be real surprised) added
Monday night game added (another surprise) and expected wins table added

The following table lists the probabilities that the home team would win each game given the rushing averages, passing averages (includes sack yards lost and sacks as pass attempts), sack rates, third down conversion rates, penalty yards, and interception and fumble rates (by number of completions and rushing plays) for both teams. A logistic regression model trained on 1996-2006 data computes the probabilities. The final score margin is Home team points - Away team points. The sum of these probabilities of victory form the expected win totals in the second table to be added after the Monday night game. The first table will be updated as more box scores come in.

Cleaning up from last week, where clearly I was not on the ball, I had to re-update the week 5 article with the P(win) for DAL@BUF, where the probability of Buffalo winning given their stats was 46.9886% despite the 6 turnovers Dallas coughed up. Without further ado, here are the week 6 numbers.

















Home TeamAway TeamP(Home Team Won) (%)Final Score Margin
BALSTL94.370919
CLEMIA98.414610
SDOAK99.555314
GBWAS22.31863
JAXHOU96.863920
KCCIN89.20487
CHIMIN28.3672-3
NYJPHI9.5042-7
TBTEN87.72183
ARICAR0.2296-15
DALNE25.6264-21
SEANO55.3389-11
ATLNYG54.1972-21


Teams that "should have" won but didn't
Washington Redskins (@ Packers), Win Prob = 77.6814% Favre threw 2 interceptions; Campbell threw only one. Favre averaged 4.33 yards a pass; Campbell averaged 5.25 yards. Green Bay was lucky enough to recover all four of their fumbles, while Washington recovered all of theirs. Washington really did outplay Green Bay, but they seem to have lost it on a couple of unlucky bounces.

Seattle Seahawks (vs. Saints), Win Prob = 55.3389% I was at the game, and I can tell you the Seahawks were never in it. Holmgren essentially forfeited the game when he decided to punt down 3 scores with 11 minutes left in the game. Hmm, think you'll need to score there sometime, Bubba? That said, this might reflect garbage time stats. Seattle managed 4.4 yards per carry, while the Saints gained only 3.7. Shaun Alexander was getting booed because he was slow and couldn't find holes. Leonard Weaver, the FB taking over for Mack Strong, is inflating this average (3 for 40) as is Hasselbeck's scramble. The Saints had 5 rushes (4 by Brees, 1 by Karney) of 0 yards to deflate their average. Seattle also managed to gain 6.9375 yards per pass versus 6.833 for the Saints. On the other hand, the Seahawks allowed sacks on over 10% of their pass plays. The Saints O-line pulled it together and gave Brees all the time in the world. The reason this game is in the Seahawks favor is probably the Saints' 2 fumbles, only one of which was actually lost. Remember, going by the FO philosophy of fumble recovery being random, I count all fumbles. In the end, however, take out the botched punt and give the Seahawks that blocked field goal, and it probably would have been 21-13 at the half and a very different game, considering that the Seahawks shut out the Saints in the second half. Yes, the Saints were likely trying to run out the clock, but there were a couple drives where the Hawks D prevented a couple of what would have been surefire scores.

So what does this mean? Except for Hail Mary passes, I don't remove any garbage time data from the system, so maybe this means that the system is wrong. On the other hand, if the stats were so close before garbage time that some ultimately meaningless drives led by Hasselbeck could tip the stats in the Seahawks' favor, maybe the game was closer than everyone thinks. Again, despite the Saints' great pass protection, which had been a problem in their first four games, that game could have easily been 21-13 at halftime. And remember, the Saints' offense had only one productive quarter. Nobody goes 0-16, and the Saints finally got some luck bouncing their way. Why the hell can't the Dolphins get some of that?!

Atlanta Falcons (vs. Giants), Win Prob = 54.1972% Manning threw two picks, and I threw out Harrington's Hail Mary interception at the end of the first half. Manning was also probably a little lucky that the picks he threw were around midfield rather than backed up in his own territory. Otherwise, it looks like the Giants did outplay the Falcons.


















































TeamActual WinsExpected WinsProjected Win Total
AFC East
BUF1.01.10823.5461
MIA0.01.64404.3839
NE6.05.655815.0822
NYJ1.01.54494.1197
AFC North
BAL4.03.34878.9298
CIN1.01.57465.0388
CLE3.02.79127.4431
PIT4.03.914712.5272
AFC South
HOU3.02.81127.4964
IND5.04.358513.9473
JAX4.03.957112.6627
TEN3.02.39677.6695
AFC West
DEN2.02.32067.4259
KC3.03.38159.0174
OAK2.01.86315.9618
SD3.03.21128.5631
NFC East
DAL5.04.617412.3129
NYG4.03.29298.7810
PHI2.02.88219.2228
WAS3.02.90369.2914
NFC North
CHI2.01.03252.7532
DET3.02.77148.8683
GB5.03.47299.2612
MIN2.02.50588.0186
NFC South
ATL1.02.80217.4722
CAR4.02.90057.7348
NO1.01.27114.0675
TB4.03.986610.6310
NFC West
ARI3.02.18835.8354
STL0.01.75854.6893
SF2.01.08063.4579
SEA3.03.65199.7385

Read More......

Power Rankings 2007 Week 6

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 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). Adjusted and unadjusted rankings included.


Using adjusted stats



































Power Rankings, Logistic Regression
RankTeamExpected Wins
1IND11.1290
2NE11.0792
3DAL10.7311
4TB10.0030
5WAS9.8468
6NYG9.6412
7PIT9.5458
8JAX9.2684
9PHI9.0883
10TEN9.0834
11SD8.5522
12GB8.4900
13MIN8.2463
14SEA8.1399
15HOU7.9821
16CLE7.8416
17DEN7.8045
18ATL7.6147
19MIA7.5847
20CIN7.5143
21ARI7.4882
22CAR7.2857
23KC7.2053
24BAL7.1100
25DET6.6432
26STL6.1356
27BUF6.1048
28NO6.0207
29CHI5.9590
30NYJ5.7973
31OAK5.6081
32SF5.4557


Using unadjusted stats


































Power Rankings, Logistic Regression
RankTeamExpected Wins
1NE11.3883
2DAL11.2170
3IND11.0017
4PIT10.9324
5TB10.0555
6WAS9.6780
7JAX9.5635
8MIN9.2922
9PHI9.2515
10NYG9.0960
11SD9.0145
12SEA8.5387
13BAL8.3563
14TEN8.3339
15CAR8.2877
16DEN8.0485
17GB8.0058
18ARI7.7705
19HOU7.6323
20CLE7.5779
21KC7.4160
22DET7.3518
23MIA7.1062
24CIN6.9493
25ATL6.7962
26OAK5.8485
27STL5.7550
28NYJ5.6024
29SF5.2688
30CHI5.0450
31BUF4.9765
32NO4.8422

Read More......

Wednesday, October 10, 2007

Win Probabilities and Expected Wins 2007 - Week 5

Edit: I decided to remove the Hail Mary interception that Favre threw at the end of the Bears-Packers game from the box score. I have posted the resulting changes for this article, but as it does not significantly affect this week's predictions, I am not going back and fixing this week's other articles. Starting with Week 6, however, the stats will reflect the removed play. I have also done this with the bizarre Hail Mary play at the end of regulation in the week 1 MIA@WAS matchup.


Well, so far I'm 11-1 in predicting this week's game (with adjusted stats) and got some of the margins close to dead on. I don't know how many people saw the Chargers killing Denver either. Denver had a 0.0134% chance of winning that game. Damn! And to end the weekend, the predictions based on adjusted stats go 12-2.

The following table lists the probabilities that the home team would win each game given the rushing averages, passing averages (includes sack yards lost and sacks as pass attempts), sack rates, third down conversion rates, penalty yards, and interception and fumble rates (by number of completions and rushing plays) for both teams. A logistic regression model trained on 1996-2006 data computes the probabilities. The final score margin is Home team points - Away team points. The sum of these probabilities of victory form the expected win totals in the second table to be added after the Monday night game. The first table will be updated as more box scores come in.

Monday night update In spite of Romo's 6 turnovers, a preliminary look at the stats shows that the Cowboys still had a 54% chance of winning that game. I'll update sometime tomorrow with the final numbers. In every other way, the Cowboys were more efficient, especially in pass efficiency (surprisingly enough).

















Home TeamAway TeamP(Home Team Won) (%)Final Score Margin
STLARI74.3333-3
NOCAR68.7236-3
INDTB94.942019
DENSD0.0134-38
HOUMIA79.05243
KCJAX2.2035-10
NECLE94.824117
NYGNYJ85.779711
PITSEA96.065021
TENATL77.00537
WASDET99.894931
SFBAL9.0122-2
GBCHI53.3206-7
BUFDAL46.9886-1


Teams that "should have" won but didn't
St. Louis Rams (vs. Cardinals), Win Prob = 74.3333% Arizona's 2 fumbles, both of which they recovered, were the difference between a P(Rams win)=74.333% and a P(Rams win)=49.99% In other words, this game was very evenly matched. The Cardinals had better numbers but just good enough to neutralize homefield advantage.

New Orleans Saints (vs. Panthers), Win Prob=68.7236% Same story here. Carolina fumbled twice but recovered both fumbles. Excluding the 2 fumbles, P(Saints win)=34.92%. David Carr somehow managed to average 7 yards a pass.

Green Bay Packers (vs. Bears), Win Prob=53.3206% They were about equal in yards per pass, but the Packers had a huge advantage in rushing averages (5.5 vs. 2.5) and third down conversions (6-14, 3-14). But the Bears had short field position on their TD drive in the 3rd quarter off an interception and were more efficient in the red zone. It speaks poorly on the Bears that they couldn't do better on 4 turnovers. That said, the Bears did manage 7.5 yards per pass, which is pretty good even if against a mediocre pass defense.

Read More......

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

Read More......

Tuesday, October 2, 2007

Power Rankings 2007 Week 4

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
1IND5.9404
2NE5.6201
3DAL5.5001
4SEA3.3232
5NYG3.2484
6TB2.7994
7DEN2.7454
8PHI2.4690
9ARI2.3274
10HOU2.2301
11JAX1.5286
12MIN1.4882
13WAS1.2148
14PIT1.1036
15MIA0.3592
16TEN0.3514
17CIN0.2501
18ATL-0.4528
19GB-0.6509
20BAL-0.6928
21CLE-1.3041
22DET-1.5032
23OAK-1.7889
24KC-1.8304
25CAR-2.0165
26SD-3.1041
27BUF-4.1486
28NYJ-4.2575
29CHI-4.3569
30NO-5.1338
31STL-5.5779
32SF-5.6809




































Power Rankings, Logistic Regression
RankTeamExpected Wins
1IND11.0179
2DAL10.8174
3NE10.6105
4SEA9.7515
5NYG9.6060
6DEN9.5204
7ARI9.3961
8PHI9.3928
9TB9.3426
10HOU9.1012
11MIN8.9477
12JAX8.7916
13WAS8.6958
14PIT8.6907
15MIA8.4258
16TEN8.2059
17CIN8.0082
18DET7.5299
19ATL7.4956
20BAL7.4924
21GB7.4798
22CLE7.3255
23OAK7.1399
24KC7.0549
25CAR6.9271
26SD6.1265
27BUF5.8696
28CHI5.8082
29NYJ5.6858
30SF5.3615
31NO5.1985
32STL5.1828




Bonus Rankings, based on unadjusted stats


































Power Rankings, Linear Regression
RankTeamExpected Point Differential
1NE10.4453
2DAL9.4955
3IND6.5819
4TB6.0274
5PIT5.4543
6DEN4.5223
7SEA3.1511
8PHI1.7881
9ARI1.6081
10MIN1.5651
11TEN1.5560
12HOU1.3897
13WAS0.7357
14DET0.4886
15NYG0.4728
16JAX0.2966
17BAL0.2485
18KC0.1948
19GB-0.5833
20CLE-1.2640
21MIA-1.2768
22ATL-1.3180
23CAR-1.7562
24OAK-2.1185
25CIN-2.4856
26SD-4.0176
27NYJ-4.3221
28CHI-6.0643
29SF-6.5469
30STL-6.8063
31BUF-7.4840
32NO-9.9784




































Power Rankings, Logistic Regression
RankTeamExpected Wins
1NE12.5345
2DAL12.3302
3IND11.1651
4TB10.9552
5PIT10.6023
6DEN10.2181
7SEA9.5226
8PHI9.0219
9MIN9.0178
10ARI8.9989
11TEN8.7841
12HOU8.7401
13DET8.4257
14WAS8.3782
15JAX8.2485
16NYG8.1665
17KC8.1520
18BAL7.9735
19MIA7.6866
20GB7.5178
21CLE7.4590
22CAR7.2069
23ATL6.9473
24OAK6.9182
25CIN6.6996
26SD5.8440
27NYJ5.7809
28CHI5.0922
29SF5.0513
30STL4.6379
31BUF4.5527
32NO3.3702

Read More......

Sunday, September 30, 2007

Win Probabilities and Expected Wins 2007 - Week 4 (Updated)

The following table lists the probabilities that the home team would win each game given the rushing averages, passing averages (includes sack yards lost and sacks as pass attempts), sack rates, third down conversion rates, penalty yards, and interception and fumble rates (by number of completions and rushing plays) for both teams. A logistic regression model trained on 1996-2006 data computes the probabilities. The final score margin is Home team points - Away team points. The sum of these probabilities of victory form the expected win totals in the second table to be added after the Monday night game. The first table will be updated as more box scores come in. Updates added

















Home TeamAway TeamP(Home Team Won) (%)Final Score Margin
ATLHOU91.029210
BUFNYJ58.88563
SFSEA0.0325-20
CARTB1.4607-13
CLEBAL80.768914
DALSTL99.906728
DETCHI98.304710
MINGB55.6513-7
MIAOAK11.8727-18
ARIPIT96.50657
INDDEN97.473318
SDKC10.5059-14
NYGPHI98.650713
CINNE1.2293-21


Teams that "should have" won but didn't
Minnesota Vikings (vs. Packers), Win Prob = 55.6513% Green Bay was significantly more efficient in the passing game (7.34 ypa vs. 5.28) but four fumbles and a far lower rushing efficiency (2.3 vs 7) probably led to this estimate.


















































TeamActual WinsExpected WinsProjected Win Total
AFC East
BUF1.00.63832.5531
MIA0.01.41865.6745
NE4.03.963815.8554
NYJ1.01.30765.2305
AFC North
BAL2.01.49515.9804
CIN1.01.46675.8667
CLE2.01.75537.0211
PIT3.02.954111.8164
AFC South
HOU2.01.98937.9571
IND4.03.409113.6364
JAX2.02.010510.7225
TEN2.01.50398.0207
AFC West
DEN2.02.32059.2819
KC2.02.46749.8697
OAK2.01.85867.4344
SD1.01.21574.8630
NFC East
DAL4.03.831015.3239
NYG2.01.97707.9082
PHI1.01.97727.9086
WAS2.01.12786.0150
NFC North
CHI1.00.28201.1280
DET3.02.770311.0812
GB4.02.716610.8662
MIN1.01.78957.1580
NFC South
ATL1.02.03028.1207
CAR2.01.59016.3603
NO0.00.13720.7319
TB3.03.058812.2353
NFC West
ARI2.01.92937.7173
STL0.00.95893.8354
SF2.00.99053.9619
SEA3.03.059212.2368

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