In the summer, I ran a contest to predict the final stats that Tom Brady would produce in 2013. Suffice it to say, nearly everyone was much more bullish on Brady than they should have been: of the 21 contest entries, 19 of them projected Brady to finish with a better ANY/A average than what he actually produced.

The average entry predicted 603 pass attempts, 4,467 yards, 30.8 TDs, 10.4 INTs, 28 sacks, and 139 sack yards lost, for an average ANY/A of 7.09.  In reality, Brady ended the year with 628 attempts, 4,343 yards, 25 TDs, 11 INTs, 40 sacks, and 256 sack yards lost. Basically, the group over-projected his Yards per Attempt by half a yard, expected six more touchdowns, and 12 fewer sacks. Brady’s ANY/A was 6.13, nearly one full adjusted net yard below the average projection.

The winning entry goes to Joe: [continue reading…]

In 1984, Dan Marino set an NFL record with 48 touchdown passes, but his Dolphins lost in the Super Bowl. Twenty years later, Peyton Manning broke Marino’s record, but he lost to the eventual Super Bowl champion Patriots in the playoffs. In 2007, Tom Brady broke Manning’s touchdowns record, but he lost in the Super Bowl, too.

When the greatest quarterback seasons of all time are discussed, these three years dominate the discussion. And with good reason. But if you include the playoffs — and frankly, there’s no reason not to include the playoffs — which quarterback produced the greatest season of all time? I’m going to stipulate that the greatest quarterback season ever has to end in a Lombardi Trophy, because otherwise, I think we’ll end up back in the world of Marino ’84/Brady ’07/Manning ’04. Of course, now another Manning season has entered the mix: and with a Super Bowl win, Manning’s 2013 should and would be remembered as the greatest quarterback season of all time.

So, the question becomes, which season would he knock off the top rung? I think there are six seasons that stand out from the rest, based on regular and postseason performance.

Honorable Mention [continue reading…]

Someone needs to say it. I know, I know, it’s Manning/Brady XV. But someone needs to remind people that Peyton Manning threw 30 more touchdown passes than Tom Brady in 2013. He threw for over 1,000 more yards. He threw one less interception. He was sacked 22 fewer times. And did I mention that he threw 30 more touchdowns? If you’re not into stats, Brian Burke has Manning providing 5.83 extra wins this year, compared to 3.82 for Brady. At some point, the analysis should move beyond “a game between two of the greatest quarterbacks ever” and recognize these things, right?

Let’s cut off the Patriots fans before they can begin typing in Boston accents: the fact that Manning’s 2013 numbers dwarf Brady’s 2013 numbers does not mean Manning’s career >>> Brady’s career. And it doesn’t even mean (although it strongly implies) that Manning was a better quarterback in 2013 than Brady was. There’s no doubt that Denver’s supporting cast, at least on offense, is much better than New England’s. Manning has Brady’s favorite target from last year, Wes Welker, along with Demaryius Thomas, Eric Decker, and Julius Thomas. Brady has dealt with a very inexperienced set of receivers following massive turnover. The Patriots have had to replace Welker, Rob Gronkowski, Aaron Hernandez, and Danny Woodhead with Julian Edelman, 12 games worth of Danny Amendola, 8 games of Shane Vereen (although he’ll be around on Sunday), 7 games of Gronkowski (he won’t be around on Sunday), and Aaron Dobson and Kenbrell Thompkins. Each quarterback is down a star tackle (Ryan Clady, Sebastian Vollmer) but has an All-Pro caliber guard (Louis Vasquez, Logan Mankins).

But whatever the reason for the discrepancy, one conclusion is inescapable: this is not a meeting of equal passing attacks. On one hand, you have one of the greatest passing offenses ever. On the other, you have an above-average passing offense. And that’s the real story. The Broncos averaged 10 more points per game than New England, while Manning (as representative of the Denver passing attack) averaged 2.75 more adjusted net yards per attempt than Brady (as representative of the Patriots passing attack). [continue reading…]

When it comes Patriots/Colts, it’s easy to want to focus on Tom Brady vs. Andrew Luck. Or to marvel at the sheer number of star players these teams have lost in the last 12 months. If you played college in the state of Florida, you’re probably not going to be playing in this game: T.Y. Hilton is the last star standing with Vince Wilfork, Aaron Hernandez, Brandon Spikes, and Reggie Wayne gone. The Patriots also have placed Rob Gronkowski, Sebastian Vollmer, Jerod Mayo, Tommy Kelly and Adrian Wilson on injured reserve, while Devin McCourty and Alfonzo Dennard are both questionable. Also, of course, Brady is probable with a shoulder.

The Colts just put defensive starters Gregory Toler and Fili Moala on injured reserve, adding to a list that already included Wayne, Ahmad Bradshaw, Vick Ballard, Dwayne Allen, Donald Thomas, Montori Hughes, and Pat Angerer.  LaRon Landry and Darrius Heyward-Bey are both questionable, and the latter’s injury caused the team to sign ex-Patriot Deion Branch.

All the injuries and changing parts make this a pretty tough game to analyze. So I’m not going to, at least not from the usual perspective. Instead, I want to take a 30,000 foot view of the game. According to Football Outsiders, the Patriots were the most consistent team in the league this season, while the Colts were the fourth least consistent team. Rivers McCown was kind enough to send me the single-game DVOA grades for both teams this season, and I’ve placed those numbers in the graph below with the Colts in light blue and the Patriots in red. The graph displays each team’s single-game DVOA score for each game this season, depicted from worst (left) to best (right). For Indianapolis, the graph spans the full chart, from the worst game (against St. Louis) to the best (against Denver). As you can see, the portion of the graph occupied by New England is much narrower, stretching from Cincinnati to Pittsburgh. [continue reading…]

With one game remaining, Peyton Manning has already set the new single-season record with 51 passing touchdowns (two months ago, I projected Manning to finish the season with 52 touchdowns). But all records must be viewed in their environment, and NFL teams are averaging 1.58 touchdown passes per team game this year, the highest average since 1948. In 1984, the year Dan Marino threw 48 touchdowns, teams averaged 1.37 touchdown passes per game.

So which season is more impressive? That’s a complicated question, and one that could be answered in many ways. In my view, the question boils down to which performance was more outstanding; in mathematical terms, we could define that as which season was farthest from the mean.

To make life a little simpler, I’m going to analyze this question on the team level, meaning we will compare “Denver 2013” to “Miami 1984.” Of course, this approach is preferable in many ways, since when we praise Manning we really mean “Manning with his offensive line and his coaching staff throwing to Demaryius Thomas, Wes Welker, Eric Decker, and Julius Thomas.” And “Marino in 1984” means “Marino and Mark Clayton and Mark Duper and Dwight Stephenson and Ed Newman.”

This season, the Broncos have 51 touchdown passes. The other 31 teams (through 15 games) are averaging 22.8 passing touchdowns, which means Denver is 28.2 touchdowns above average. The standard deviation of the 32 teams in passing touchdowns is 7.4; as a result, we can say that the Broncos are 3.84 standard deviations above average, also known as their Z-score.

In 1984, the other 27 teams (through 16 games) averaged 21.0 touchdowns, while the Dolphins threw 49 scores (Jim Jenson, a college quarterback who played receiver for Miami, threw a 35-yard touchdown to Duper against the Patriots off a Marino lateral). The standard deviation that season in touchdown passes at the team level was 7.5, which gives Miami a Z-score of 3.72 in 1984.

So the Broncos this season have been more extraordinary, at least by this measure. One nice thing about using the Z-score is we don’t need to adjust for games played. I went ahead and calculated the Z-scores for every team since 1932. The current Broncos are #1, with the ’84 Dolphins in second place. The third place team isn’t the Tom Brady 2007 Patriots; that team is down at #7, because the standard deviation in passing touchdowns among the league’s 32 teams was 8.8 that season. Instead, the third slot goes to the 1986 Dolphins. Few remember that Marino threw 44 touchdowns that season; add in Don Strock’s two touchdowns, a lower league average and a smaller standard deviation, and those Dolphins get a Z-score of 3.70.

Let’s look at the top 100 teams using this metric. The 2004 Colts ranked fifth (if you click on the cell in the team column, the link takes you to that team’s PFR page) in Z-score. That year, Indianapolis threw 51 touchdowns, while the other 31 teams averaged 21.97 touchdown passes. That means Indianapolis was 29.03 touchdowns above average, the highest production above average to date. But that year, the standard deviation among the 32 teams in passing touchdowns was 8.53, giving the Colts a Z-score of “only” 3.41; that’s why they’re 5th, not first.
[continue reading…]

Every year at Footballguys.com, I publish an article called Rearview QB, which adjusts quarterback (and defense) fantasy numbers for strength of schedule. I’ve also done the same thing using ANY/A instead of fantasy points, and today I revive that concept for the 2012 season.

Let’s start with the basics. Adjusted Net Yards per Attempt is defined as (Passing Yards + 20 * Passing Touchdowns – 45 * Interceptions – Sack Yards Lost) divided by (Pass Attempts plus Sacks). ANY/A is my favorite explanatory passing statistic — it is very good at telling you the amount of value provided (or not provided) by a passer in a given game, season, or career.

Let’s start with some basic information. The league average ANY/A in 2012 was 5.93. Peyton Manning averaged 7.89 ANY/A last year, the highest rate in the league among the 39 passers with at least 75 attempts. Since the Broncos star had 583 pass attempts and 21 sacks in 2012, that means he was producing 1.96 ANY/A over league average on 604 dropbacks. That means Manning is credited with 1,185 Adjusted Net Yards above average, a metric I simply call “VALUE” in the table below. Manning led the league in that category, with Tom Brady, Drew Brees, Aaron Rodgers, and Matt Ryan rounding out the top five. Remember, the ANY/A and VALUE results aren’t supposed to surprise you, so it makes sense that the best quarterbacks finish near the top in this category every year.
[continue reading…]

On September 13, 2008, Doug Drinen wrote this post, which I reproduce in full below.

I’m hearing and reading a lot of crazy stuff this week.

So I just want to document my predictions that (a) the Patriots will win at least 11 games this year, (b) the Patriots will clinch the East before week 17, and (c) Matt Cassel will be a top-12 fantasy quarterback from here out.

That is all.

With the combination arrest/release of Aaron Hernandez stacked upon five surgeries in seven months for Rob Gronkowski and the departure of Wes Welker to Denver, it’s fair to say that many are wondering about the fate of the New England passing game. In addition to those three, Tom Brady is without Brandon Lloyd (free agent) and Danny Woodhead (San Diego), the fourth and fifth leading receivers on the 2012 Patriots. As Jason Lisk pointed out, that puts Brady in historically bad territory when it comes to roster turnover.

So today’s post doubles as a temperature check and a contest entry. Please predict the following for Tom Brady in 2013, based on the assumption that he is responsible for 99.4% of all Patriots pass attempts by quarterbacks for the second year in a row. To the extent he is not, I will pro-rate his numbers for purposes of judging the contest. To enter, simply copy and paste this table below in the comments and fill out each line.

Your name:
Brady’s number of pass attempts:
Brady’s number of passing yards:
Brady’s number of passing touchdowns:
Brady’s number of interceptions:
Brady’s number of sacks:
Brady’s number of sack yards lost:
Commentary:
[continue reading…]

[In case you missed it, earlier this week, I created an NFL Draft Pick Value Calculator and provided wallet-sized and iPhone-style copies of the 2013 NFL Schedule.]

I find old newspaper articles very entertaining, so I decided to see how the Boston Globe documented the selection of Tom Brady in the sixth round of the 2000 Draft.

On April 17th, the day after the draft concluded, the Globe provided a full summary of each player. Here’s how they described the 199th pick:

6, 199 – Tom Brady, QB, Michigan

A pocket passer who will compete for a practice squad spot with the Patriots . . . Drafted as a catcher by the Montreal Expos in 1995 out of Serra (San Mateo, Calif.) HS . . . Completed 62.8 percent of his passes with 20 TDs and six interceptions. Only Elvis Grbac had more TD tosses in a season for the Wolverines . . . Throws a great slant . . . At almost 6-4, 214 pounds, has some mobility . . . Platooned with sophomore Drew Henson . . . Was projected to go in the third round, but dropped quickly.

[continue reading…]

Eight years ago — almost to the day — our old PFR colleague Doug Drinen wrote a Sabernomics post about “The Manning Index”, a metric designed to roughly gauge the clutchness (or chokeitude) of a given quarterback by looking at how he did relative to expectations (he revived this concept in version two, six years ago). In a nutshell, Doug used the location of the game and the win differential of the two teams involved to establish an expected winning percentage for each quarterback in a given matchup. He then added those up across all of a quarterback’s playoff starts, and compared to the number of wins he actually had. Therefore, quarterbacks who frequently exceeded expectations in playoff games could be considered “clutch” while those who often fell short (like the Index’s namesake, Peyton Manning) might just be inveterate chokers.

Doug ran that study in the midst of the 2004-05 playoffs, so it shouldn’t be surprising that Tom Brady (who was at the time 8-0 as a playoff starter and would run it to 10-0 before ever suffering a loss) came out on top, winning 3.5 more games than you’d expect from the particulars of the games he started. Fast-forward eight years, though, and you get this list of quarterbacks who debuted after 1977:
[continue reading…]

According to the SRS, this is as lopsided as championship games get. The Patriots are 12.8 points better than average while the Ravens have an SRS of just +2.9; therefore, you’d put New England as 13-point favorites at home (in reality, they are 8-point favorites). I’ve been a Ravens skeptic for a couple of months now, and never thought they were one of the best teams in the league.

In my week 11 power rankings, when Baltimore was 8-2, I wrote: “According to Football Outsiders, Baltimore has the best special teams since 1991 through 10 weeks. Schatz tweeted that Baltimore’s the 16th best team based on just offense and defense.”

A few days later the Ravens defeated the Chargers in the famous 4th-and-29 game, which certainly didn’t change my outlook on Baltimore. Then the Ravens tanked down the stretch, seemingly fulfilling their reputation as an average team. And let’s not forget: had Ben Roethlisberger stayed healthy, it’s possible the Ravens don’t even make the playoffs. Without the 13-10 ugly win over Byron Leftwich and the Steelers, both Baltimore and Pittsburgh would have finished 9-7 with the Steelers holding the tiebreaker. To be fair, the Ravens did not compete in a meaningless week 17 game, but the point is that the Ravens were barely above-average team during the season that got a few breaks along the way.
[continue reading…]

The Best Weekend of the Year lived up to its reputation this weekend, as the divisional round of the playoffs gave us three outstanding games. Here is my reaction, with a disproportionate amount of time spent on the Denver-Baltimore game, because, well, if you saw it, you’d understand.

Baltimore 38, Denver 35

One of the best playoff games in NFL history, and an instant classic. This game could be analyzed for hours and there are countless talking points (Fox playing not to lose, Manning’s playoff failures, Ray Lewis’ retirement tour making at least one last stop, Tim Tebow anyone?) that will fill up the schedules of ESPN and talk radio for weeks. But let’s start with a big picture review of the game from the perspective of the team I expected to win the Super Bowl.

If you want to assign credit and blame to Denver, this is how I would rank the five Broncos units on Saturday, from best to worst.

1) Special teams. Sure, Matt Prater missed a long field goal, but Trindon Holliday’s two return touchdowns were a thing of beauty — especially for fans of excellent blocking. Holliday’s runs were more about textbook blocking by the return unit and poor coverage by the Ravens than Holliday himself, but in any event, the Broncos special teams had a great day. In fact, here is how Pro-Football-Reference broke down the game by unit in terms of Expected Points Added:
[continue reading…]

Yesterday, I previewed Saturday’s games with um, mixed results (skip the Denver-Baltimore preview and just read the San Francisco-Green Bay breakdown twice). Let’s take another crack at it by examining Sunday’s matchups.

Seattle Seahawks (11-5) (+1) at Atlanta Falcons (13-3), Sunday, 1:00PM ET

Once again, Atlanta is tasked with facing a dominant wildcard team. Is this the year Matt Ryan finally silences his critics?

Atlanta is only a one-point favorite, just the seventh time a home team has been given such little respect this late in the season since 2000. Home teams are 3-3 when underdogs or small favorites over that span in the divisional conference championship rounds, although one of those losses came by the Falcons in 2010 against the Packers when Atlanta was a 1.5-point favorite. But let’s focus on these two teams, because the stats might surprise you.

Russell Wilson edges Matt Ryan in Y/A (7.9 to 7.7), AY/A (8.1 to 7.7), and passer rating (100.0 to 99.1), despite having a significantly worse set of receivers. Ryan does have the edge in NY/A (7.0 to 6.8) but the two are deadlocked in ANY/A at 7.0. Both quarterbacks led four 4th quarter comebacks this year, and Wilson led 5 game-winning drives while Ryan led six. Considering one quarterback has Roddy White, Julio Jones, and Tony Gonzalez, and the other is a 5’10 rookie, I consider this pretty remarkable.
[continue reading…]

Last weekend, I looked at career rushing stats in wins and losses; today I will do the same but for quarterbacks.

I looked at all games, including playoffs, from 1960 to 2011, for all quarterbacks with at least 5,000 career passing yards over that time period. The table below lists the following information for each passer:

– His first year (or 1960, if he played before 1960) and his last year (or 2011, if still active)
– All the franchises he played for (which you can search for in the search box)
– His number of career wins, and his touchdown rate, interception rate, yards per attempt and Adjusted Yards per Attempt (which includes a 20-yard bonus for touchdown passes and a 45-yard penalty for interceptions) in wins ^[1]Unfortunately, I excluded sack data from this study due to its general unavailability for most of the covered time period.
– His number of career losses, and his touchdown rate, interception rate, yards per attempt and Adjusted Yards per Attempt in losses

The table is sorted by AY/A in wins; unsurprisingly, Aaron Rodgers — who is the career leader in that metric — tops this table, too. In fact, Rodgers is also the leader in AY/A in losses. Note that this table includes all games played by the quarterback, not just his starts.

[continue reading…]

After posting about SRS-style quarterback ratings on Monday, I was thinking about other things we can do with game-by-game data like that. In his QBGOAT series, Chase likes to compare QBs to the league average, which makes a lot of sense for all-time ratings — you want to reward guys who are at least above-average in a ranking like that. However, if we want seasonal value, perhaps average is too high a baseline.

Over at Football Outsiders, Aaron Schatz has always compared to “replacement level”, borrowing a concept from baseball. I like that approach, but replacement level can be hard to empirically determine. So for the purposes of this post, I wanted to come up with a quick-and-dirty baseline to which we can compare QBs.

To that end, I looked at all players who were not their team’s primary passer in each game since 2010. Weighted by recency and the number of dropbacks by each passer, they performed at roughly a 4.4 Adjusted Net Yards Per Attempt level. This is not necessarily the replacement level, but it does seem to be the “bench level” — i.e., the ANYPA you could expect from a backup-caliber QB across the league.

Using 4.4 ANYPA as the baseline, we get the following values for 2012:

If we weigh each game by how recent the results took place, we get this list:

This kind of thing isn’t exactly the most advanced stat in the world, but it’s pretty good if you want to sort QBs into general groups based on how good they are (the assumption being that a player who never plays is implicitly a bench-level player by definition).

[UPDATE: There was an error earlier in this post. I believe it is fixed now.]

On Sunday Night, the Patriots trailed 31-3 halfway through the third quarter. But that’s when Tom Brady got hot, and New England tied the game with 6:43 left in the 4th quarter. At that moment, many fans probably had visions of the Oilers-Bills playoff game, where Buffalo came back from a 32-point deficit to win.

And while there are a lot of famous comebacks, the failed comeback is much less memorable. But in fact, this was the 4th time a team trailed by 28 points in the game only to tie or take the lead in the 4th quarter… but ultimately lose.

The table below shows all games prior to 2012 where a team trailed by at least 21 points, was trailing entering the 4th quarter, came back to tie or take the lead in the 4th quarter, but then still lost. The table is listed from the perspective of the eventual winner and shows the final points for and points allowed in the game, along with the biggest lead and the largest fourth-quarter deficit the winning team faced despite the large early lead.

Note that this excludes games this game between Green Bay and Pittsburgh from 1951, where the Packers held a 28-point lead and won, but actually trailed entering the 4th quarter.

If there was one thing you can count on in New England, it’s that the Patriots passing attack would be more efficient than their opponent’s nearly every week. From 2003 to 2011, New England averaged 6.9 net yards per pass attempt while their defense allowed 6.0 NY/A. But this season, the Patriots passing offense is struggling by New England standards while the pass defense is worse than ever. Take a look: ^[1]Note that the table below lists team passing yards, which already deducts sack yardage lost

Playing the Jets on Sunday is the perfect medicine for a NY/A-imbalance, but what do you make of New England’s struggles this year?

On Wednesday, I explained the methodology for grading each quarterback in each season. Yesterday, I came up with an all-time career list of the best quarterbacks based on their regular season play. Today, a look at playoff performances.

Using the same formula, we can grade each quarterback in each game and adjust for era ^[1]Note that I do not have individual playoff sack data prior to 2008, so I am using pro-rated sack numbers based on team sack data.. However, it should be obvious that the sample sizes here are incredibly small, and the stats are even less likely to tell the true story when looking at just one game. Strength of schedule becomes a significant factor here, as well. But, caveats aside, there’s a lot we can do with playoff data. For example, we can rank every quarterback performance in Super Bowl history:

If you type Montana’s name into the search box, you can see that he has the 1st, 4th, 11th and 27th best performance in Super Bowl history. The best performance in a losing effort goes to Jake Delhomme, who shredded the Patriots secondary in the second half of Super Bowl XXXVIII (he began the game 1 for 9 for 1 yard). The worst performance in a winning effort, unsurprisingly, goes to Ben Roethlisberger in Super Bowl XL, although Joe Theismann against the Dolphins gets an honorable mention. Worst performance overall goes to Kerry Collins, although Craig Morton’s 4 interceptions and 39 yards on 15 attempts against his former team in Super Bowl XII could give Collins a run for his money.

What about best championship game performances in the pre-Super Bowl era?

[continue reading…]

Yesterday, I explained the methodology behind the formula involved in ranking every quarterback season in football history. Today, I’m going to present the career results. Converting season value to career value isn’t as simple as it might seem. Generally, we don’t want a player who was very good for 12 years to rank ahead of a quarterback who was elite for ten. Additionally, we don’t want to give significant penalties to players who struggled as rookies or hung around too long; we’re mostly concerned with the peak value of the player.

What I’ve historically done — and done here — is to give each quarterback 100% of his value or score from his best season, 95% of his score in his second best season, 90% of his score in his third best season, and so on. This rewards quarterbacks who played really well for a long time and doesn’t kill players with really poor rookie years or seasons late in their career. It also helps to prevent the quarterbacks who were compilers from dominating the top of the list. The table below shows the top 150 regular season QBs in NFL history using that formula, along with the first and last years of their careers, their number of career attempts (including sacks and rushing touchdowns), and their career records and winning percentages (each since 1950). For visibility reasons, I’ve shown the top 30 quarterbacks below, but you can change that number in the filter or click on the right arrow to see the remaining quarterbacks.
[continue reading…]

In 2006, I took a stab at ranking every quarterback in NFL history. Two years later, I acquired more data and made enough improvements to merit publishing an updated and more accurate list of the best quarterbacks the league has ever seen. In 2009, I tweaked the formula again, and published a set of career rankings, along with a set of strength of schedule, era and weather adjustments, and finally career rankings which include those adjustments and playoff performances.

If nothing else, that was three years ago, so the series was due for an update. I’ve also acquired more data, enabling me to tweak the formula to better reflect player performance. But let’s start today with an explanation of the methodology I’m using. To rank a group of players, you need to decide which metric you’re ordering the list by. I’ll get to all of the criteria I’m not using in a little bit, but the formula does use each of the following: pass attempts, passing touchdowns, passing yards, interceptions, sacks, sack yards lost, fumbles, fumbles recovered, rush attempts, rushing yards and rushing touchdowns. Most importantly, the formula is adjusted for era and league.

So where do we begin? We start with plain old yards per attempt. I then incorporate sack data by removing sack yards from the numerator and adding sacks to the denominator ^[1]I have individual sack data for every quarterback since 1969. For seasons before then, I have team sack data going back to 1949. For seasons before 1950, I ignored sacks; for seasons between 1950 … Continue reading. To include touchdowns and pass attempts, I gave a quarterback 20 yards for each passing touchdown and subtracted 45 yards for each interception. This calculation — (Pass Yards + 20 * PTD – 45 * INT – Sack Yards Lost) / (Sacks + Pass Attempts) forms the basis for Adjusted Net Yards per Attempt, one of the key metrics I use to evaluate quarterbacks.

For purposes of this study, I did some further tweaking. I’m including rushing touchdowns, because our goal is to measure quarterbacks as players. There’s no reason to separate rushing and passing touchdowns from a value standpoint, so all passing and rushing touchdowns are worth 20 yards and are calculated in the numerator of Adjusted Net Yards per Attempt. To be consistent, I also include rushing touchdowns in the denominator of the equation. This won’t change anything for most quarterbacks, but feels right to me. A touchdown is a touchdown.
[continue reading…]

No, this article isn’t an article about quarterbacks squaring off against ancient Greek mathematicians. Today, we’re going to look at quarterback win-loss records and see how they compare to their Pythagorean win-loss records.

Over 30 years ago, Bill James wrote that, on average, baseball teams’ true strengths could be measured more accurately by looking at runs scored and runs allowed than by looking at wins and losses. Since then, sports statisticians have applied the same thinking to all sports. The formula to calculate a team’s Pythagorean winning percentage is always some variation of:

(Points Scored^2) / (Points Scored ^2 + Points Allowed^2)

With the exponent changing from 2 to whatever number best fits the data for the particular sport. In football, that number is 2.53. We can look, for example, at the Pythagorean records for each team in the league last season, and line it up against their actual record:

[continue reading…]