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A New QB Wins Added Statistic

Shouright

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A while ago I did the following thread:

http://www.finheaven.com/showthread...-was-Ryan-Tannehill-Responsible-for&highlight=

...which was based on the following formula for wins added by NFL quarterbacks:

Advanced NFL Stats said:
The components of the new passer rating are weighted according to how important they are in terms of team wins. The formula is based on a multivariate regression model of team wins. Using data from the past five NFL regular seasons, the regression model estimates team wins based on the efficiency stats of each team including passing, running, turnovers, and penalties. Regression models can hold all other factors equal, so by only adjusting the factors of interest (passing performance) we can calculate the effect on the estimate of season wins. Arbitrary weighting is not necessary.

1. Is not arbitrary. Each component is weighted exactly as much as their relative importance to winning games. These weights are derived from a regression model using data from all teams since the 2002 expansion.

2. The result is stated in units of team wins over a 16-game regular season. The regression model allows the passer rating model's component weights to translate directly into how many additional wins a QB's performance would yield, on average, over 16 full games.

3. Is not redundant. The components do not double count passing stats.

4. Includes only the passing stats primarily controlled by the QB. Factors such as passing yards after catch are not included.

After some quick algebra to simplify the equation, the resulting formula of the improved new passer rating is:

QB Wins Added = [(Air Yds - Sack Yds) * 1.56 - INTs * 50.5 ] / Pass Attempts - 3
The above was taken from the following webpage:

http://www.advancednflstats.com/2007/08/qb-passer-rating.html

The result was unappealing in my opinion and in the opinions of some others here in the forum (available in the thread linked above).

So I decided to do the same thing from another angle, using different statistics.

The following is based on regression model similar to the one above (in red font in the quote), though instead it utilizes the following four statistics, each of which is strongly correlated with winning in the NFL:

1) DVOA (explained here: http://www.footballoutsiders.com/info/methods)

2) WPA (explained here: http://www.advancednflstats.com/2010/01/win-probability-added-wpa-explained.html)

3) Net YPA, which is derived from subtracting sack yards from passing yards, adding sacks to pass attempts, and dividing the former by the latter.

4) The percentage of pass attempts targeted at least 20 yards downfield, which is surprisingly strongly correlated with winning, and which adds a "degree of difficulty" component, if you will, to the equation. In other words, quarterbacks who attempt a larger percentage of their passes downfield (defined as 20+ yards) are likely taking on a more difficult task than those who attempt a smaller such percentage of downfield passes.

The idea here was to develop as complete a picture of quarterback play as possible, and the variables above reflect overall play on a play-by-play basis, taking into account a vast array of other variables (i.e., DVOA), clutch play (i.e., WPA), time-honored measures of individual quarterback play (i.e., net YPA), and "degree of difficulty" if you will (deep pass attempt percentage).

The resulting regression model accounts for 66% of the variance in team win percentage, and each of the above four variables is statistically significant at a p-value less than 0.05.

Using the regression coefficients from the model, we get the following results for NFL quarterbacks for the 2013 regular season:

QB
WINS ADDED
Peyton Manning
9.42
Nick Foles
8.47
Philip Rivers
7.66
Drew Brees
6.66
Aaron Rodgers
6.56
Colin Kaepernick
5.11
Russell Wilson
5.10
Tony Romo
3.98
Matt Ryan
3.92
Tom Brady
3.88
Jay Cutler
3.69
Ben Roethlisberger
3.43
Matthew Stafford
3.13
Andy Dalton
2.98
Andrew Luck
2.85
Carson Palmer
2.85
Sam Bradford
2.73
Cam Newton
2.66
Ryan Fitzpatrick
1.68
Matt Cassel
1.63
Alex Smith
1.10
Mike Glennon
0.88
Ryan Tannehill
0.57
Jason Campbell
0.18
Robert Griffin III
0.04
Chad Henne
-0.34
Joe Flacco
-0.38
Matt Schaub
-0.60
EJ Manuel
-0.84
Eli Manning
-1.01
Case Keenum
-1.14
Geno Smith
-1.37
Brandon Weeden
-3.47
LEAGUE AVERAGE
2.48
LEAGUE STANDARD DEVIATION
3.07
TANNEHILL PERCENTILE RANK
31.2

I'd be interested in comments (or questions) from the members of the forum. :up:
 
My honest opinion is that you should start focusing on other players and positions, I think you`ve pretty much covered every single way you can use YPA, WPA and DVOA in a math formula...
 
Thats as close as you can get with numbers to listing the QBs in order from best to worst.
 
No offense Gravity appreciate your effort but in reality I don't need this data to have my own informed opinion.
 
You should really consider following in Kurt Cobain's footsteps. :shotgun:
 
My honest opinion is that you should start focusing on other players and positions, I think you`ve pretty much covered every single way you can use YPA, WPA and DVOA in a math formula...
Actually let me circumscribe the last sentence in the original post to comments (or questions) about the material in the original post, as opposed to things centering on other issues. I'm not interested in the latter and won't be responding to them. :)

---------- Post added at 10:47 AM ---------- Previous post was at 10:46 AM ----------

Thats as close as you can get with numbers to listing the QBs in order from best to worst.
Keep in mind, however, that the data are for the 2013 regular season, only, and so a more general ranking of ability or quality is beyond the scope of this analysis. In other words, it's a one-year analysis only, not a career analysis, and so the way these quarterbacks played in seasons other than 2013 wasn't considered or included.
 
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Thats as close as you can get with numbers to listing the QBs in order from best to worst.

Really? You think Kaep is a better QB than Brady? Or Cutler better than Roethlisberger? Would you take Nick Foles over Aaron Rodgers in a fantasy draft?
 
Really? You think Kaep is a better QB than Brady? Or Cutler better than Roethlisberger? Would you take Nick Foles over Aaron Rodgers in a fantasy draft?
Again, a one-year analysis only, not a career one.
 
Again, a one-year analysis only, not a career one.

Yeah I know, but regardless. What this statistic is essentially saying is that if you swapped Tom Brady and Colin Kaepernick, the Patriots would be better and the 49ers would be worse. Kaep had about 5 WPA, while Brady had just under 4.
So 12 wins for the 9ers would become 11 with Brady. 11 wins for the Patriots becomes 12 with Kaepernick. IMHO, you put Brady on that 9ers team and they win at least 14 games. You put Kaep on those Patriots and they're lucky to win 9.
 
Yeah I know, but regardless. What this statistic is essentially saying is that if you swapped Tom Brady and Colin Kaepernick, the Patriots would be better and the 49ers would be worse. Kaep had about 5 WPA, while Brady had just under 4.
So 12 wins for the 9ers would become 11 with Brady. 11 wins for the Patriots becomes 12 with Kaepernick. IMHO, you put Brady on that 9ers team and they win at least 14 games. You put Kaep on those Patriots and they're lucky to win 9.
What is fueling your apparent perception that Kaepernick's season wasn't as good as Brady's?
 
Really? You think Kaep is a better QB than Brady? Or Cutler better than Roethlisberger? Would you take Nick Foles over Aaron Rodgers in a fantasy draft?

No. I dont. Thats why I said its about as CLOSE to having them ranked in order for best to worst as you can get with a stat. We all know Brady is better than those guys.
 
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