Rank | Team | Power Ranking |
1 | New England Patriots | 1.000 |
2 | Atlanta Falcons | 0.922 |
3 | New York Jets | 0.836 |
4 | Pittsburgh Steelers | 0.820 |
5 | Baltimore Ravens | 0.817 |
6 | Philadelphia Eagles | 0.815 |
7 | Chicago Bears | 0.791 |
8 | Green Bay Packers | 0.757 |
9 | New Orleans Saints | 0.707 |
10 | Tennessee Titans | 0.701 |
11 | San Diego Chargers | 0.697 |
12 | New York Giants | 0.697 |
13 | Miami Dolphins | 0.692 |
14 | Kansas City Chiefs | 0.687 |
15 | Jacksonville Jaguars | 0.685 |
16 | Indianapolis Colts | 0.679 |
17 | Cleveland Browns | 0.678 |
18 | Oakland Raiders | 0.646 |
19 | Tampa Bay Buccaneers | 0.641 |
20 | Seattle Seahawks | 0.613 |
21 | St. Louis Rams | 0.601 |
22 | Houston Texans | 0.593 |
23 | Minnesota Vikings | 0.585 |
24 | Washington Redskins | 0.582 |
25 | Dallas Cowboys | 0.577 |
26 | San Francisco 49ers | 0.574 |
27 | Detroit Lions | 0.565 |
28 | Arizona Cardinals | 0.550 |
29 | Buffalo Bills | 0.547 |
30 | Denver Broncos | 0.540 |
31 | Cincinnati Bengals | 0.496 |
32 | Carolina Panthers | 0.452 |
Tuesday, December 21, 2010
Power Rankings (Week 16)
Tuesday, December 14, 2010
Power Rankings (Week 15)
This Week:
Ranking | Team | Power Ranking |
1 | New England Patriots | 1.000 |
2 | Atlanta Falcons | 0.957 |
3 | Pittsburgh Steelers | 0.869 |
4 | New York Jets | 0.841 |
5 | Baltimore Ravens | 0.822 |
6 | Philadelphia Eagles | 0.821 |
7 | Green Bay Packers | 0.813 |
8 | Chicago Bears | 0.798 |
9 | New Orleans Saints | 0.761 |
10 | New York Giants | 0.747 |
11 | Miami Dolphins | 0.740 |
12 | Jacksonville Jaguars | 0.727 |
13 | Cleveland Browns | 0.725 |
14 | Tennessee Titans | 0.717 |
15 | San Diego Chargers | 0.707 |
16 | Kansas City Chiefs | 0.697 |
17 | Tampa Bay Buccaneers | 0.684 |
18 | Indianapolis Colts | 0.670 |
19 | Oakland Raiders | 0.664 |
20 | Seattle Seahawks | 0.658 |
21 | St. Louis Rams | 0.641 |
22 | Minnesota Vikings | 0.632 |
23 | Houston Texans | 0.625 |
24 | Washington Redskins | 0.623 |
25 | San Francisco 49ers | 0.623 |
26 | Arizona Cardinals | 0.603 |
27 | Dallas Cowboys | 0.583 |
28 | Denver Broncos | 0.572 |
29 | Detroit Lions | 0.562 |
30 | Buffalo Bills | 0.536 |
31 | Cincinnati Bengals | 0.487 |
32 | Carolina Panthers | 0.451 |
Tuesday, December 7, 2010
Power Rankings (Week 14)
This week's:
Rank | Team | Power Ranking |
1 | New England Patriots | 1.000 |
2 | Atlanta Falcons | 0.997 |
3 | Pittsburgh Steelers | 0.912 |
4 | New York Jets | 0.908 |
5 | Green Bay Packers | 0.851 |
6 | Chicago Bears | 0.846 |
7 | Philadelphia Eagles | 0.839 |
8 | Baltimore Ravens | 0.829 |
9 | New York Giants | 0.776 |
10 | Tennessee Titans | 0.767 |
11 | Cleveland Browns | 0.765 |
12 | New Orleans Saints | 0.757 |
13 | Kansas City Chiefs | 0.734 |
14 | Jacksonville Jaguars | 0.727 |
15 | Miami Dolphins | 0.726 |
16 | Oakland Raiders | 0.719 |
17 | Seattle Seahawks | 0.706 |
18 | San Diego Chargers | 0.701 |
19 | Tampa Bay Buccaneers | 0.694 |
20 | Houston Texans | 0.682 |
21 | St. Louis Rams | 0.680 |
22 | Indianapolis Colts | 0.669 |
23 | Washington Redskins | 0.654 |
24 | Minnesota Vikings | 0.651 |
25 | Denver Broncos | 0.635 |
26 | Dallas Cowboys | 0.611 |
27 | Arizona Cardinals | 0.603 |
28 | San Francisco 49ers | 0.601 |
29 | Detroit Lions | 0.582 |
30 | Buffalo Bills | 0.534 |
31 | Cincinnati Bengals | 0.493 |
32 | Carolina Panthers | 0.464 |
So let's take a look at the magnitudes of the power rankings. The Falcons and the Patriots are neck and neck, then a gap, then the Jets and Steelers, then a gap, and then the rest. The Colts are getting hammered, while the Browns are still hanging around. One of the failures of my rankings is how to judge a team like the Titans, which came strong out of the gate, and now is kind of falling apart due to quarterback issues.
Tuesday, November 30, 2010
Power Rankings (Week 13)
Pretty good shake-up at the top. Here we go:
Ranking | Team | Power Ranking |
1 | Atlanta Falcons | 1.000 |
2 | New England Patriots | 0.991 |
3 | New York Jets | 0.977 |
4 | Pittsburgh Steelers | 0.929 |
5 | Baltimore Ravens | 0.869 |
6 | Chicago Bears | 0.855 |
7 | Green Bay Packers | 0.854 |
8 | Philadelphia Eagles | 0.849 |
9 | Tennessee Titans | 0.782 |
10 | Kansas City Chiefs | 0.775 |
11 | New Orleans Saints | 0.773 |
12 | Cleveland Browns | 0.773 |
13 | New York Giants | 0.769 |
14 | Miami Dolphins | 0.757 |
15 | San Diego Chargers | 0.752 |
16 | Tampa Bay Buccaneers | 0.739 |
17 | Houston Texans | 0.732 |
18 | Seattle Seahawks | 0.728 |
19 | Indianapolis Colts | 0.727 |
20 | Jacksonville Jaguars | 0.727 |
21 | Oakland Raiders | 0.704 |
22 | St. Louis Rams | 0.688 |
23 | Washington Redskins | 0.682 |
24 | Minnesota Vikings | 0.645 |
25 | Denver Broncos | 0.631 |
26 | San Francisco 49ers | 0.622 |
27 | Arizona Cardinals | 0.617 |
28 | Detroit Lions | 0.602 |
29 | Dallas Cowboys | 0.576 |
30 | Buffalo Bills | 0.576 |
31 | Cincinnati Bengals | 0.521 |
32 | Carolina Panthers | 0.485 |
Tuesday, November 23, 2010
Power Rankings (Week 12)
This week I looked at home field advantage. My metric was pretty simple, from 2004-2009, I summed up all the win ratings for home games, and divided it by all the win ratings from away game. In the end I have a percentage, the average percentage increase for home games (compared to away games). I'm not truly measuring the advantage a home stadium provides, but rather, the difference in how well a team plays at home vs. on the road. For instance, I'm not determining if a team's a good home team or a bad road team. Anyway, below are the breakdowns (ranked highest to lowest):
Team | Home Field Increase |
Minnesota Vikings | 40.59% |
Kansas City Chiefs | 39.60% |
Houston Texans | 37.42% |
Arizona Cardinals | 35.76% |
Baltimore Ravens | 29.16% |
Tampa Bay Buccaneers | 25.09% |
Buffalo Bills | 23.19% |
Chicago Bears | 23.17% |
Cleveland Browns | 19.23% |
Seattle Seahawks | 18.51% |
Washington Redskins | 17.62% |
Pittsburgh Steelers | 16.80% |
Dallas Cowboys | 16.66% |
Detroit Lions | 16.30% |
San Diego Chargers | 15.28% |
New Orleans Saints | 15.13% |
St. Louis Rams | 14.84% |
Indianapolis Colts | 14.65% |
Atlanta Falcons | 11.94% |
Tennessee Titans | 11.80% |
Denver Broncos | 10.81% |
San Francisco 49ers | 10.35% |
New York Jets | 8.84% |
Green Bay Packers | 6.32% |
Oakland Raiders | 5.53% |
New York Giants | 4.38% |
Jacksonville Jaguars | 3.67% |
Cincinnati Bengals | 3.34% |
Miami Dolphins | 2.19% |
Carolina Panthers | 0.63% |
Philadelphia Eagles | -0.50% |
New England Patriots | -3.76% |
Can't say I'm too surprised by the numbers. For instance, 3 of the top 5 home field advantages are domes (providing advantageous playing conditions as well as keeping in the noise); and one of the other top 5 home field advantages is that noted Kansas City crowd. On the other end of the scale, the Eagles and the Patriots actually play better on the road. Now for these numbers, I only did one regression, that is, I didn't take into account the home / away disparity for the team a team was playing. For instance, if Minnesota is a noted bad road team, I did not take that into account when they played Green Bay @ Green Bay (I know, sounds a little convoluted, but like my normal power rankings, I would like to incorporate some recursion). Another odd note, adding a home field advantage component when trying to pick games using my Power Rankings doesn't help; the pure weekly rankings are still the best way to go. I'll explore the recursion problem in the near future, and see if I can get the prediction a little better. And, as always, this week's rankings:
Rank | Team | Power Ranking |
1 | New York Jets | 1.000 |
2 | New England Patriots | 0.989 |
3 | Pittsburgh Steelers | 0.940 |
4 | Atlanta Falcons | 0.936 |
5 | Philadelphia Eagles | 0.885 |
6 | Green Bay Packers | 0.877 |
7 | Baltimore Ravens | 0.860 |
8 | Tennessee Titans | 0.810 |
9 | Chicago Bears | 0.794 |
10 | Indianapolis Colts | 0.765 |
11 | Jacksonville Jaguars | 0.763 |
12 | Cleveland Browns | 0.751 |
13 | New Orleans Saints | 0.733 |
14 | Kansas City Chiefs | 0.728 |
15 | Tampa Bay Buccaneers | 0.723 |
16 | Miami Dolphins | 0.722 |
17 | New York Giants | 0.721 |
18 | Seattle Seahawks | 0.714 |
19 | Oakland Raiders | 0.704 |
20 | San Diego Chargers | 0.703 |
21 | Washington Redskins | 0.699 |
22 | Houston Texans | 0.688 |
23 | St. Louis Rams | 0.651 |
24 | Denver Broncos | 0.637 |
25 | Minnesota Vikings | 0.611 |
26 | Arizona Cardinals | 0.596 |
27 | Detroit Lions | 0.594 |
28 | San Francisco 49ers | 0.576 |
29 | Dallas Cowboys | 0.568 |
30 | Buffalo Bills | 0.545 |
31 | Cincinnati Bengals | 0.510 |
32 | Carolina Panthers | 0.441 |
What's surprising is Cleveland is getting a lot of love, best 3-6 team ever. Raiders took a dive, and still no love for the Chargers.
Tuesday, November 16, 2010
Power Rankings (Week 11)
So how good is my ranking system, based solely on points per yard (and then put through the regressive formula)? Well, the obvious metric is how well the ranking system picks winners, how many times the higher ranked team wins. Below, I iterate through 6 seasons (calculate the power rankings each week, and see how well those rankings pick winners). I compare it against the most simple ranking system I could think of, based solely on wins / losses (if two teams have the exact same record, I just randomly picked one to win). Also, I throw out the first two weeks (can't really calculate wins / losses with so few games). Enjoy:
Year | Picked Correctly | |
Simple Ranking | My Ranking | |
2004 | 60.7% | 70.1% |
2005 | 64.3% | 68.3% |
2006 | 58.5% | 61.6% |
2007 | 65.6% | 69.6% |
2008 | 61.8% | 67.9% |
2009 | 62.1% | 66.1% |
So, as you can see, I'm slightly better than just always picking the team with more wins. I'm right about 67% of the time, vs. 60% for the simple approach. Apparently, 2006 was a screwy year. And below, this week's ranking:
Rank | Team | Power Ranking |
1 | New York Jets | 1.000 |
2 | New England Patriots | 0.964 |
3 | Atlanta Falcons | 0.940 |
4 | Pittsburgh Steelers | 0.934 |
5 | Baltimore Ravens | 0.878 |
6 | Philadelphia Eagles | 0.862 |
7 | Green Bay Packers | 0.850 |
8 | Tennessee Titans | 0.821 |
9 | Indianapolis Colts | 0.803 |
10 | Cleveland Browns | 0.774 |
11 | Chicago Bears | 0.760 |
12 | Seattle Seahawks | 0.759 |
13 | New York Giants | 0.746 |
14 | Oakland Raiders | 0.741 |
15 | Miami Dolphins | 0.740 |
16 | Tampa Bay Buccaneers | 0.728 |
17 | Jacksonville Jaguars | 0.722 |
18 | New Orleans Saints | 0.707 |
19 | Kansas City Chiefs | 0.701 |
20 | Houston Texans | 0.701 |
21 | St. Louis Rams | 0.679 |
22 | Denver Broncos | 0.678 |
23 | San Diego Chargers | 0.675 |
24 | Washington Redskins | 0.657 |
25 | Arizona Cardinals | 0.633 |
26 | Detroit Lions | 0.628 |
27 | Minnesota Vikings | 0.623 |
28 | San Francisco 49ers | 0.606 |
29 | Cincinnati Bengals | 0.548 |
30 | Dallas Cowboys | 0.517 |
31 | Buffalo Bills | 0.506 |
32 | Carolina Panthers | 0.452 |
Tuesday, November 9, 2010
Power Rankings (Week 10)
And here we go:
Rank | Team | Power Ranking |
1 | Pittsburgh Steelers | 1.000 |
2 | New York Jets | 0.951 |
3 | Atlanta Falcons | 0.914 |
4 | Baltimore Ravens | 0.891 |
5 | New England Patriots | 0.888 |
6 | Tennessee Titans | 0.842 |
7 | Green Bay Packers | 0.819 |
8 | Philadelphia Eagles | 0.816 |
9 | Indianapolis Colts | 0.804 |
10 | New York Giants | 0.796 |
11 | Cleveland Browns | 0.788 |
12 | Tampa Bay Buccaneers | 0.758 |
13 | Houston Texans | 0.740 |
14 | Oakland Raiders | 0.736 |
15 | Kansas City Chiefs | 0.732 |
16 | Seattle Seahawks | 0.726 |
17 | Chicago Bears | 0.719 |
18 | St. Louis Rams | 0.718 |
19 | New Orleans Saints | 0.716 |
20 | San Diego Chargers | 0.680 |
21 | Miami Dolphins | 0.674 |
22 | Washington Redskins | 0.671 |
23 | Arizona Cardinals | 0.666 |
24 | Detroit Lions | 0.661 |
25 | Jacksonville Jaguars | 0.652 |
26 | Minnesota Vikings | 0.632 |
27 | Denver Broncos | 0.607 |
28 | Cincinnati Bengals | 0.571 |
29 | San Francisco 49ers | 0.550 |
30 | Carolina Panthers | 0.458 |
31 | Buffalo Bills | 0.454 |
32 | Dallas Cowboys | 0.445 |
Still surprising that the Jets still sit up so high. And it's still showing the AFC's dominance over the NFC. Lo and behold....the Cowboys are the worst team. No complaints here.
Tuesday, November 2, 2010
Power Rankings (Week 9)
Well I can't say the results aren't strange. Generally speaking, it seems teams aren't punished that much for keeping it close against good teams, it's playing lousy against bad teams that hurts you. Case in point, the Patriots hold the best record, but could have lost to Buffalo and San Diego. Still, something about these numbers speaks a little strange, so I'm still going to do some tweaking. And I'm still interested in coming up with a picks system. Anyway, here you go.
Rank | Team | Power Ranking |
1 | Pittsburgh Steelers | 1.000 |
2 | New York Jets | 0.989 |
3 | New England Patriots | 0.964 |
4 | Baltimore Ravens | 0.889 |
5 | Atlanta Falcons | 0.873 |
6 | Houston Texans | 0.870 |
7 | Tennessee Titans | 0.833 |
8 | Green Bay Packers | 0.832 |
9 | Indianapolis Colts | 0.817 |
10 | New York Giants | 0.796 |
11 | Tampa Bay Buccaneers | 0.794 |
12 | Seattle Seahawks | 0.771 |
13 | Kansas City Chiefs | 0.768 |
14 | Philadelphia Eagles | 0.760 |
15 | Chicago Bears | 0.743 |
16 | St. Louis Rams | 0.724 |
17 | New Orleans Saints | 0.718 |
18 | Cleveland Browns | 0.710 |
19 | Miami Dolphins | 0.707 |
20 | Oakland Raiders | 0.703 |
21 | Washington Redskins | 0.689 |
22 | Arizona Cardinals | 0.688 |
23 | Jacksonville Jaguars | 0.667 |
24 | Detroit Lions | 0.660 |
25 | San Diego Chargers | 0.634 |
26 | Minnesota Vikings | 0.617 |
27 | Denver Broncos | 0.615 |
28 | Cincinnati Bengals | 0.586 |
29 | San Francisco 49ers | 0.544 |
30 | Dallas Cowboys | 0.493 |
31 | Buffalo Bills | 0.481 |
32 | Carolina Panthers | 0.478 |
So what to make of these? Well, I think the most useful takeaway is separating good teams from bad teams. For instance, Jacksonville is a bad team, Tampa Bay is good. Learn something.
Thursday, October 28, 2010
Week 8 Picks
Okay, that title is false; I didn't actually make picks. I was trying to find out the best way to predict a winner, if I could go strictly with Power Rankings, or if momentum comes into play. I never came up with a good way to approximate momentum, and Power Rankings was the best way to predict. So....go ahead and put together your own picks...
Tuesday, October 26, 2010
Power Rankings (Week 8)
No changes to the formula; I did a little playing around with the win rating but didn't see any big improvement. However, this coming Thursday I'll post again, predicting this week's game.
Rank | Team | Power Ranking |
1 | Pittsburgh Steelers | 1.000 |
2 | New York Jets | 0.928 |
3 | New England Patriots | 0.856 |
4 | Baltimore Ravens | 0.834 |
5 | Tennessee Titans | 0.825 |
6 | Houston Texans | 0.818 |
7 | Indianapolis Colts | 0.788 |
8 | Atlanta Falcons | 0.780 |
9 | New York Giants | 0.731 |
10 | Seattle Seahawks | 0.722 |
11 | Kansas City Chiefs | 0.717 |
12 | Green Bay Packers | 0.690 |
13 | Washington Redskins | 0.690 |
14 | Tampa Bay Buccaneers | 0.671 |
15 | Chicago Bears | 0.669 |
16 | Philadelphia Eagles | 0.667 |
17 | St. Louis Rams | 0.647 |
18 | Cleveland Browns | 0.633 |
19 | Denver Broncos | 0.627 |
20 | Arizona Cardinals | 0.625 |
21 | Miami Dolphins | 0.608 |
22 | Jacksonville Jaguars | 0.604 |
23 | Oakland Raiders | 0.591 |
24 | Minnesota Vikings | 0.552 |
25 | Cincinnati Bengals | 0.552 |
26 | New Orleans Saints | 0.535 |
27 | Detroit Lions | 0.517 |
28 | Dallas Cowboys | 0.500 |
29 | San Diego Chargers | 0.498 |
30 | San Francisco 49ers | 0.429 |
31 | Carolina Panthers | 0.422 |
32 | Buffalo Bills | 0.380 |
No big shake-ups in the rankings, the top 4 teams are still there. The NFC is kind of all over the place from week to week, are the top 3 teams in the league Atlanta, NY, and Seattle?
Tuesday, October 19, 2010
Power Rankings (Week 7)
To test my rankings, I went back to old seasons (2004 through 2009) and calculated a final regular season power ranking. Next, I compared how these final rankings compared to playoff performance: if someone ranked higher than another team (and subsequently beat them) then hey, a plus; if a lower ranked team beat a higher ranked one, a minus. Then finally, I tweaked through a whole range of coefficients on the Scoring Efficiency, Yardage Efficiency, and Margin of Victory. Basically, I tried to find which coefficients best predicted playoff performance.
Fortunately, the behavior was really weird. For three of the seasons I looked at, Scoring Efficiency was the only value that mattered. If I set all the other items to zero (and used only Scoring Efficiency), then I best predicted the post-season. So for this week's power rankings, I used this equation for the win rating:
Win Rating = exp(-1/(3* Scoring Efficiency ))
Thus, the only thing I'm using to rate a team is how they score; if it takes them a few yards to score points, that's good, if it takes alot, it's bad. It's interesting; bad teams have drives that stall, turnovers, etc. Good teams score on every drive, and force turnovers. I'm going to explore what this means in the next couple of weeks, we'll see how it goes.
And here's this week's power rankings:
Team | Power Ranking |
New York Jets | 1.000 |
Pittsburgh Steelers | 0.978 |
New England Patriots | 0.900 |
Baltimore Ravens | 0.885 |
Houston Texans | 0.797 |
Indianapolis Colts | 0.797 |
Tennessee Titans | 0.792 |
Atlanta Falcons | 0.792 |
Philadelphia Eagles | 0.767 |
Seattle Seahawks | 0.730 |
New York Giants | 0.725 |
Green Bay Packers | 0.716 |
Chicago Bears | 0.708 |
Denver Broncos | 0.707 |
St. Louis Rams | 0.701 |
Jacksonville Jaguars | 0.695 |
Arizona Cardinals | 0.695 |
Washington Redskins | 0.683 |
Kansas City Chiefs | 0.681 |
Miami Dolphins | 0.645 |
Minnesota Vikings | 0.624 |
Tampa Bay Buccaneers | 0.608 |
New Orleans Saints | 0.594 |
Cincinnati Bengals | 0.578 |
Cleveland Browns | 0.573 |
San Diego Chargers | 0.572 |
Detroit Lions | 0.550 |
Oakland Raiders | 0.544 |
Dallas Cowboys | 0.522 |
San Francisco 49ers | 0.456 |
Buffalo Bills | 0.412 |
Carolina Panthers | 0.388 |
J-E-T-S baby. But actually, the Jets, Ravens, Steelers, and Patriots are all pretty equal. Let them slug it out.
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