The last few weeks I have been just posting the QB Score and RB Score rankings for the week with just a brief story. Today I will again post the rankings. But I want to offer a discussion of the NFL’s quarterback rating that will note the limitations of this measure and why – from an economics perspective – this measure does not go away.
Dr. Z’s Campaign Against the NFL’s Quarterback Rating
Dr. Z at Sports Illustrated has gone on the warpath.Apparently he really, really, really dislikes the NFL quarterback rating system. As he notes in this article (and his mailbag for the week), the NFL’s metric is based on how the game was played in the early 1970s, when this metric was put in place. Obviously the game has changed a bit in the past three decades, so maybe it’s time for a new formula.
Beyond the change in standards overtime, though, is a problem for decision-makers. It turns out – as Dr. Z notes – that quarterbacks, coaches, and general managers confess they do not know how it is calculated.
As Dr. Z notes “…it’s a prehistoric monster that no one understands, an illogical piece of antiquity that influences so much of the game when it shouldn’t. It affects what is written, what is discussed, what becomes the basis, in some cases, of salary structure and bonuses for players and coordinators.
Steve Young, who has the highest career passer rating in history, admits that he’s “not quite sure how the system works.”
Charley Casserly, who as Redskins general manager was quite aware that some clauses were built into contracts that reflected the rating points, says, “No, I couldn’t tell you exactly how they determine the ratings.”
Bill Parcells, whose 11-point dictum to quarterbacks came from years of study of the position, says, “I don’t know how they arrive at their ratings and I don’t care. I don’t pay any attention to them. I have my own system for evaluating quarterbacks.”
The confusion is understandable since this may be the most complicated metric commonly cited in all of sports. Here is how the calculation of the quarterback rating is described in The Wages of Wins:
First one takes a quarterback’s completion percentage, then subtracts 0.3 from this number and divides by 0.2. You then take yards per attempts subtract 3 and divide by 4. After that, you divide touchdowns per attempt by .05. For interceptions per attempt, you start with .095, subtract from this number interceptions per attempt, and then divided this result by .04. To get the quarterback rating, you add the values created from your first four steps, multiply this sum by 100, and divide the result by 6. Oh, and by the way, the sum from each of your first four steps cannot exceed 2.375 or be less than zero.
When you look over the steps it is pretty easy to see why people have trouble figuring out what this is measure is actually measuring.
Although it may look like a random collection of steps, the calculation does seek to compare a quarterback’s performance relative to the average player at this position. Of course, as Dr. Z notes, the average values are from the early 1970s. So maybe that isn’t the most relevant reference point.
A Better Measure: QB Score
There is of course one other flaw in the NFL’s measure. It’s only a passer rating. Quarterbacks also play with their feet, and none of that is included. The NFL’s measure ignores sacks, yards lost from sacks, rushing attempts, yards gained from rushing, and fumbles. To see why this might matter, consider Jeff Garcia’s game this past week.
On Sunday Garcia completed 37 of 45 passes for 316 yards without throwing an interception. His quarterback rating for the week was 110.7, the third highest mark posted by a signal caller in Week Seven.
But his team lost. Now a quarterback could play well and still see his team lose. There are ten other players on offense and quarterbacks do not play defense (except when they throw interceptions). But the Buccaneers loss was actually linked to two actions Garcia took. Twice during the game he fumbled and the Lions recovered. The NFL’s measure ignores fumbles, so although these fumbles are charged to Garcia, they are not charged when the NFL evaluates his performance.
When we turn to QB Score, the simple measure introduced in The Wages of Wins, we get a different view of Garcia’s performance. QB Score takes into account pass attempts, rushing attempts, sacks, passing yards, rushing yards, yards lost from sacks, interceptions, and fumbles. It is also weights these factors – as the following equation indicates — in terms of how each impacts points scored and points allowed.
QB Score = All Yards – 3*All Plays – 30*All turnovers
When we look at Garcia’s Week Seven performance from the perspective of QB Score we see a player who ranked 19th out of 30 quarterbacks. In other words, a performance that was rated 3rd best for the week by the NFL’s measure is actually well below average.
It’s important to note that the NFL’s measure and QB Score do not always reach such dramatically different conclusions. Both measures tell us that Tom Brady is having an amazing season. Both metrics tell us that Drew Brees and Marc Bulger are struggling.
There are times, though, when the NFL measure gives us the wrong evaluation. And when you factor in how difficult it is to calculate and understand, one might wonder why this measure is still in use.
Why the NFL’s Measure Persists
Let me try and explain this as an economist. For fans and members of the media an investment has been made in the NFL’s quarterback rating system. Although many people don’t understand how this metric is calculated, they do understand that a measure of 100 is considered “good” and a measure of 50 is “bad.” So the basic interpretation is understood. And the measure provides an answer to the question: Who is the best?
Although Dr. Z and I can note the flaws in the measure, as long as someone does the calculation (and the NFL’s metric is easy to calculate with a spreadsheet), the quarterback rating serves does allow fans and the media to evaluate quarterbacks.
When confronted with a new measure like QB Score (or something from Football Outsiders) the fans and the media are presented with a choice.
1. They can invest in acquiring new knowledge.
2. They can conclude what they have is “good enough” and forgo the cost of learning the new measure.
Think of these two choices from the perspective of the media. Even if members of the media read The Wages of Wins and decided it is the greatest book ever written, they might still be reluctant to switch to QB Score in their broadcasts. Such a switch would require each broadcaster to explain QB Score during the broadcast of the game. And this lesson would have to be repeated each time a quarterback is evaluated in future games.
And it’s not only the broadcaster who has to take on this cost. The print media would have to devote newspaper and magazine space to teaching QB Score. Given a scarce supply of broadcast time and print space, it’s easy to understand why QB Score – a measure that is simpler, more complete, and more accurate — cannot supplant the NFL’s measure.
So Dr. Z, feel free to complain about this measure. Yell about it. Scream to the heavens for something better. But I think the simple economics of path dependence (I suppose I should explain this term but I am at the end of the column) tells us why your efforts are in vain.
– DJ
For more on QB Score, RB Score and what these metrics mean see
Consistent Inconsistency in Football
Football Outsiders and QB Score
The Value of Player Statistics in the NFL
Brian
October 27, 2007
Dr. Z is right to hate the NFL passer rating system, but for the wrong reason. His main point seems to be that the game has changed since it was created in the early 70’s, which is true. But the majority of his complaint would be solved by simply re-averaging (or normalizing) the current formula.
He overlooks some of the most glaring flaws of the NFL rating. Including TD passes is probably the most heinous–a QB can benefit by a great running game or defense that gives him lots of “red zone” pass opportunities.
My personal peeve with the NFL rating is its units. I know 100 is good and 50 is bad. But 100 whats? 100 passimetrons? To call it arbitrary would be charitable. One of the reasons I like QB Score is because the units are tangible, relevant football terms.
Jim G
October 28, 2007
The NFL passer rating formula isn’t so complicated. Pete Palmer has pointed out that it reduces to “yards per attempt with a bonus of 20 yards for each completion, an additional 80 yards for each touchdown, and a 100-yard penalty for each interception”.
Of course a rating based on “ypa + 20-yard bonus for every completion” is hugely biased in favor of short-passers over long-passers and has been since the first day it was used (Len Dawson & Bob Griese over Joe Namath & Sonny Jurgenson, etc.). It’s why the NFL all-time rating list makes it look like every top QB who ever lived played after 1980, when rule changes really brought in the short passing game. (Brian Griese rated far ahead of John Unitas, etc. )
Under the NFL system a QB can even increase his rating by completing passes that lose yardage.
I posted more including some relevant links in a prior comment here but it seems to have gone into the aether. Are comments here moderated before posting? If the other one still exists free free to delete this one.
dberri
October 28, 2007
Jim G,
WordPress tends to treat as spam comments with a bunch of links. So that might be what happened.
Try posting a just few links again and see what happens.
I do read the comments, but I don’t do much moderating.
Brian
October 28, 2007
Even if it could be simplified…
80 yds for a TD? 100 for an interception? That’s even more messed up than I thought.
Jim G
October 28, 2007
I give up — seven posts have evaporated after hitting the send button. No links at all in the last few, just vague verbal pointers to the Palmer article and such. Oh, well.
It’s a good site you have here, I’ll keep reading even if I can’t contribute.
Note from DJ: Jim had trouble getting this into the comments section. So he e-mailed the following to me and I posted it.
Here’s the Palmer article I mentioned, it’s old but right on point. The fact
that it’s so old shows this is not a new issue. I think it is the first to
introduce the ‘adjusted yards per attempt’ method that’s popular with many
today.
http://www.footballresearch.com/articles/frpage.cfm?topic=palmmeth
There’s was also an article in GQ a while back that provides much more on
the history of the NFL system than Dr Z mentioned, including words with the
guy who invented the system (says Don Smith …”I’m the guilty guy”) at
Rozelle’s request.
It no longer seems to be available directly but if you Google:
“QB Rating story / GQ magazine / by Don Steinberg” … the cached version is
still there, retained in the Google archives.
In short, Brian was right that Dr Z is right for the wrong reason — it’s
not that the game has changed but that the rating system was bad from day 1.
Though the problems with the system were inadvertent, it was just that
nobody thought the thing through. It sure seems that fans and observers are
a lot more sophisticated today than they used to be — even more than the
people in the NFL offices used to be.
As for the survival of the current rating system, consider that the NFL’s
fault. Since the NFL uses this as its “official” system, you’ve got to
expect its game commentators and most other people to use it.
But it’s not like the NFL never changed its QB rating system in the past —
it did so several times, as these articles show. It should simply face
reality and do so again. Especially since so many of its own coaches and
other top people have openly say the system is so bad and that they ignore
it themselves. If the league put in a better system, it probably would get
credit and good PR for doing so.
dberri
October 28, 2007
Jim G,
That is just bizarre. Hopefully no one else is having this problem.
Why not e-mail the comments to me and see if I can get them posted (dberri@csub.edu)?
dberri
October 28, 2007
Okay, I got Jim G’s comments in. Hopefully that won’t happen again.
I would add that the article he sites from GQ is referenced in the Wages of Wins. It is a very good story.
Westy
October 29, 2007
Any thoughts on the Aikman ratings? It seems they also are considered more accurate than the standard QB ratings.
dberri
October 29, 2007
Westy,
The Aikman ratings seem to be about teams, not quarterbacks. I haven’t seen the formula for these ratings but the basic idea is on the right path. There is more to evaluating teams than just yards.
Pete
November 3, 2007
How can someone have a perfect QB rating and still have incompletions? Why do people park on a driveway and drive on a parkway?
JM Schmidt
October 18, 2009
I’m 2 years late on this comment but Dr.Z is trying to be smart but his rating system is flat out dumb. I could talk all day about it but i won’t right now.