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Did you know that Dan Marino and Bob Griese have accounted for over 45% of all pass attempts, over 48% of all passing yards, and over 53% of all passing touchdowns in Miami Dolphins history? The Dolphins are the rare franchise that has just four players with more than 40 touchdown passes: Marino (420), Griese (192), Ryan Tannehill (123), and Jay Fiedler (66). But perhaps here is the most startling stat: Ryan Tannehill has the best passer rating in Dolphins history!

Yes, Tannehill — he of the back-to-back-to-back-to-back-to-back-to-back breakout seasons — has a better passer rating than both Marino and Griese, although of course that’s not true when you adjust for era. Marino ended his career with an 86.4 passer rating, and a 76.9 passer rating when adjusted for era. Griese had a 77.1 actual passer rating, and a 79.0 passer rating when adjusted for era (Griese also took a ton of sacks, while Marino took very few, which is the only reason Greise’s era-adjusted rating comes in ahead of Marino’s). Tannehill, through 2017, had a 65.1 era-adjusted passer rating, and in 2018, had a 66.4 EA PR, but his career un-adjusted passer rating is 87.0.

So while we know passer rating is silly to use when not adjusting for era, as a matter of trivia, it’s pretty interesting to see Tannehill ahead of Marino. But ANY/A — which includes sacks — is a better way to measure passing efficiency. And so today, I thought it might be interesting to look at the history of the Miami Dolphins passing offense and passing defenses, based on trailing 16 game averages.

That’s shown in this graph below. The orange line shows the trailing 16-game Adjusted Net Yards per Attempt average of the Dolphins offense going back to 1966. You can see the Marino-induced spike in ’84 and ’85, as more games from his historic 1984 season is captured by the trailing average. The aqua line shows the trailing 16-game ANY/A allowed by the Dolphins defense: the valleys shown in ’73/’74 and early 1983 are good representations of the Super Bowl defenses that carried the Dolphins in 1972, 1973, and 1982 (of course, the ’72 and ’73 offenses were good, too). [continue reading…]

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There have been four passing touchdown kings in the last 40 years: Fran Tarkenton, Dan Marino, Brett Favre, and Peyton Manning.  I thought it would be fun to plot the number of career touchdown passes each player had on the Y-Axis after each game of their career (shown on the X-Axis):

td pass leaders
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No, Peyton, you're the man

No, Peyton, you're the man.

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…]

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How quaint: a quarterback taking snaps form under center

How quaint: a quarterback taking snaps form under center.

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.
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Is this a thinly-veiled Brady/Manning post?

Is this a thinly-veiled Brady/Manning post?

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.


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References

References
1 Unfortunately, I excluded sack data from this study due to its general unavailability for most of the covered time period.
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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.
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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.

Two of the best quarterbacks ever.

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.
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References

References
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 and 1969, I gave each quarterback an approximate number of sacks, giving him the pro-rated portion of sacks allowed by the percentage of pass attempts he threw for the team. While imperfect, I thought this “fix” to be better than to ignore the data completely, especially for years where one quarterback was responsible for the vast majority of his team’s pass attempts.
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Quarterback wins over Pythagoras

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:

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