After chatting with Brian Burke from the Advanced NFL Stats website and bouncing some ideas off of him, I've decided to alter a bit the approach to the QB evaluation statistic I came up with in this thread:
http://www.finheaven.com/showthread.php?351306-A-New-QB-Wins-Added-Statistic&highlight=
Instead of using win percentage as the dependent variable in the analysis, which confounds it with other areas of team play (running game, defense, etc.), I decided to use WPA per game for QBs, which extracts "winning" play from the QB's play more exclusively.
I then did a stepwise regression analysis with 40 different variables associated with QB play. The result was that only two variables -- 1) DVOA, and 2) percentage of pass dropbacks in which QBs are pressured -- could be used to produce a model that accounted for the most variance in WPA per game, 76%.
DVOA has a positive relationship with WPA per game, and is explained here: http://www.footballoutsiders.com/info/methods
The percentage of passing dropbacks in which QBs experience pressure of course has a negative relationship with WPA per game.
The model is fairly elegant theoretically because it consists of a statistic (DVOA) that constitutes a wide array of other variables in the game, and another statistic (pressure on the QB) that theoretically interferes with quarterback play, and which isn't included in DVOA.
Using the regression coefficients in the model produces the following data for the 2013 regular season:
EDIT: This is what we get when I correct for the error I made the first time of failing to remove the negative value for pressured dropback percentage:
Player "Winning Play"
Nick Foles 0.7808
Russell Wilson 0.7804
Philip Rivers 0.7684
Matt Ryan 0.75
Peyton Manning 0.7216
Drew Brees 0.7128
Colin Kaepernick 0.7108
Jay Cutler 0.7036
Carson Palmer 0.7
Aaron Rodgers 0.6968
Tony Romo 0.6928
Andrew Luck 0.684
Mike Glennon 0.6836
Sam Bradford 0.6772
Tom Brady 0.6704
Cam Newton 0.6684
Ben Roethlisberger 0.6516
Case Keenum 0.6436
Matt Schaub 0.6356
Ryan Fitzpatrick 0.6324
Alex Smith 0.6188
Jason Campbell 0.618
Robert Griffin III 0.618
Matthew Stafford 0.6164
Geno Smith 0.608
Eli Manning 0.6044
Matt Cassel 0.604
Ryan Tannehill 0.596
Chad Henne 0.5928
Joe Flacco 0.5808
Andy Dalton 0.578
EJ Manuel 0.5416
Brandon Weeden 0.528
AVERAGE 0.66
STANDARD DEVIATION 0.07
TANNEHILL PERCENTILE RANK 15.6
http://www.finheaven.com/showthread.php?351306-A-New-QB-Wins-Added-Statistic&highlight=
Instead of using win percentage as the dependent variable in the analysis, which confounds it with other areas of team play (running game, defense, etc.), I decided to use WPA per game for QBs, which extracts "winning" play from the QB's play more exclusively.
I then did a stepwise regression analysis with 40 different variables associated with QB play. The result was that only two variables -- 1) DVOA, and 2) percentage of pass dropbacks in which QBs are pressured -- could be used to produce a model that accounted for the most variance in WPA per game, 76%.
DVOA has a positive relationship with WPA per game, and is explained here: http://www.footballoutsiders.com/info/methods
The percentage of passing dropbacks in which QBs experience pressure of course has a negative relationship with WPA per game.
The model is fairly elegant theoretically because it consists of a statistic (DVOA) that constitutes a wide array of other variables in the game, and another statistic (pressure on the QB) that theoretically interferes with quarterback play, and which isn't included in DVOA.
Using the regression coefficients in the model produces the following data for the 2013 regular season:
Player | "Winning Play" |
Peyton Manning | 3.76 |
Aaron Rodgers | 2.55 |
Philip Rivers | 2.53 |
Drew Brees | 2.53 |
Nick Foles | 2.52 |
Andy Dalton | 1.86 |
Colin Kaepernick | 1.72 |
Matthew Stafford | 1.67 |
Tom Brady | 1.64 |
Ben Roethlisberger | 1.47 |
Tony Romo | 1.47 |
Sam Bradford | 1.12 |
Matt Ryan | 1.08 |
Andrew Luck | 1 |
Russell Wilson | 0.99 |
Jay Cutler | 0.96 |
Matt Cassel | 0.93 |
Cam Newton | 0.93 |
Alex Smith | 0.86 |
Ryan Fitzpatrick | 0.84 |
Carson Palmer | 0.72 |
Ryan Tannehill | 0.7 |
EJ Manuel | 0.41 |
Chad Henne | 0.4 |
Jason Campbell | 0.29 |
Robert Griffin III | 0.23 |
Joe Flacco | 0.22 |
Mike Glennon | 0.05 |
Matt Schaub | -0.2 |
Eli Manning | -0.28 |
Geno Smith | -0.52 |
Case Keenum | -0.71 |
Brandon Weeden | -0.74 |
AVERAGE | 1 |
SD | 1.04 |
TANNEHILL PERCENTILE | 34.3 |
EDIT: This is what we get when I correct for the error I made the first time of failing to remove the negative value for pressured dropback percentage:
Player "Winning Play"
Nick Foles 0.7808
Russell Wilson 0.7804
Philip Rivers 0.7684
Matt Ryan 0.75
Peyton Manning 0.7216
Drew Brees 0.7128
Colin Kaepernick 0.7108
Jay Cutler 0.7036
Carson Palmer 0.7
Aaron Rodgers 0.6968
Tony Romo 0.6928
Andrew Luck 0.684
Mike Glennon 0.6836
Sam Bradford 0.6772
Tom Brady 0.6704
Cam Newton 0.6684
Ben Roethlisberger 0.6516
Case Keenum 0.6436
Matt Schaub 0.6356
Ryan Fitzpatrick 0.6324
Alex Smith 0.6188
Jason Campbell 0.618
Robert Griffin III 0.618
Matthew Stafford 0.6164
Geno Smith 0.608
Eli Manning 0.6044
Matt Cassel 0.604
Ryan Tannehill 0.596
Chad Henne 0.5928
Joe Flacco 0.5808
Andy Dalton 0.578
EJ Manuel 0.5416
Brandon Weeden 0.528
AVERAGE 0.66
STANDARD DEVIATION 0.07
TANNEHILL PERCENTILE RANK 15.6
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