Yesterday, I posted a methodology to determine which wide receivers played on the most pass-happy teams. For example, Calvin Johnson played on teams that averaged 39.5 pass attempts per game, when you place more weight on Johnson’s best seasons.  But as Bryan pointed out in the comments yesterday, another good way to look at the numbers is to see how pass-happy each team was relative to league average, something I did three years ago.  By way of comparison, Megatron’s teams passed 115.2% of league average during his career, again weighted for his best seasons.

This method will make most receivers appear to have played on more pass-happy teams, since most receivers have their best years on teams that pass the most (and this method gives more weight to best seasons).  But that should effect all receivers, so I’m not too worried about that.  Here is the same table as yesterday, but with percentage of league average as the key variable rather than pass attempts per game: [continue reading…]

Which receivers played on the most pass-happy teams? It’s a bit tricky to measure that: if a receiver played on run-heavy teams most of his career, but plays a couple of final seasons for teams that throw for 600+ attempts while he is a reserve, that would skew his average. So we need to adjust for a player’s best seasons when measuring how pass-happy his teams were.

Let’s use Calvin Johnson as an example. He played for the Lions in each season of his career, and Detroit has been very pass-happy throughout his career.  In 2015, he had 1,214 receiving yards, which was 10.4% of his career receiving yards.  That year, the Lions threw 632 times, or 39.5 times per game.  So for Johnson’s career pass-happy grade, 10.4% of it will be based off of an average of 39.5 attempts per game.  In 2012, Johnson had 16.9% of his career receiving total, so 16.9% of his pass-happy grade will be based off of the 740 attempts the Lions had that year.  Perform that analysis for every season, and Johnson has an adjusted average of teams throwing 39.5 times per game, as per the table below.

I did this calculation for every receiver in NFL history with at least 5,000 pass attempts. The table below is fully sortable and searchable, but it is initially sorted by career receiving yards. [continue reading…]

I spent some time discussing Gary Clark’s 1991 season yesterday. It was really impressive in two notable respects: he accounted for a huge percentage of his team’s production, and his team’s production was easily the best in the league.

What was even more impressive? What Gene Washington did in 1970. That year, the 49ers had a phenomenal passing attack: San Francisco averaged 7.6 ANY/A, while no other team was above 6.0. John Brodie was the AP MVP because of his great passing numbers, but what was arguably more impressive is what Washington did that year. Playing for the best passing offense in football ^[1]And along with the ’66 Packers, the only offenses to average at least 7.50 ANY/A from 1961 to 1975., Washington caught 23% of the team’s passes, 37% of the 49ers receiving yards, and 48% of San Francisco’s receiving touchdowns.

If you calculate Adjusted Catch Yards with a 5-yard bonus on receptions and a 20-yard bonus on touchdowns, Washington had 1,605 ACY out of the 49ers 4,620 total team ACY, or 35%. That’s even higher than what Clark did on the ’91 Redskins (33%). On the other hand, WR1s tended to get slightly more attention on 1970 offenses than on 1971 offenses. So here’s what I did:

1) Calculate the ACY for each receiver on each team since 1970. For Clark in ’91, this was 1,890.

2) Calculate the percentage of team ACY for each receiving season since 1970. For Clark, this was 33%; for Washington, it was 35%.

3) Calculate the average percentage of team ACY for the top N receivers in the league each season, with N being equal to the number of teams in the NFL. For 1970, this was 29%; for 1991, it was 27%.

4) Calculate each receiver’s percent over average; for both Clark and Washington, this means +6%.

5) Calculate each receiver’s team RANY/A for each year. Clark’s Redskins were at +3.14, while Washington’s 49ers were at +3.45.

6) Plot those seasons in the graph below. [continue reading…]

On the surface, Kenny Britt didn’t have a remarkable season. He had just 1,002 yards, to go along with 68 receptions and 5 touchdowns. But then again, every receiver is playing in a different environment, and Britt’s environment was very, very bad.

The three teams with the worst passing stats in 2016 — from a cumulative perspective — were Buffalo, San Francisco, and Los Angeles. The Bills had a below-average passing offense but rank at the bottom because the team threw the fewest passes in the league, which makes is tough for a receiver to produce good stats. The 49ers were in the bottom 10 in ANY/A and were one of just four teams that didn’t hit the 500-attempt mark. And the Rams were — by a large margin — the worst passing team in the NFL from an efficiency standpoint, thanks in part to Jared Goff having one of the worst rookie seasons ever.

Britt had 1,422 Adjusted Catch Yards — calculated by giving 5 yards for every reception and 20 yards for every touchdown — which ranked just 26th last season. But the Rams offense as a whole had just 5,153 total ACY, so Britt had 28.0% of all Los Angeles Adjusted Catch Yards. And Britt missed one game: on a pro-rated basis, he had 29.8% of all Rams ACY, calculated as 1422 * (Games Played * 5153/16).

That’s good enough for 5th best in the NFL last year. The leader by this metric was A.J. Green of the Bengals, who took over as options 1, 2, 3, and 4 in the Cincinnati passing attack with Mohamed Sanu gone, and Tyler Eifert limited to just eight games. Green had 1,374 ACY in 10 games, but more impressively, he had 34.4% of the Bengals team ACY on a pro-rated basis. [continue reading…]

Last year, Antonio Brown edged Jordy Nelson in Adjusted Catch Yards per Team Attempt by a few thousands of a yard. Brown beat Nelson for the True Receiving Yards crown in 2014, too, repeating as champion after a great 2013 campaign. Antonio Brown is awesome, so seeing him lead the league in a metric isn’t very surprising anymore. But let’s run through the process for new readers.

• We begin with each player’s number of receiving yards. Then, we add 20 yards for every touchdown catch, and 9 yards (here’s why) for every first down gained (other than first downs that resulted in touchdowns). For Brown, this gives him exactly 1,900 Adjusted Catch Yards, as he has totaled 1,310 receiving yards, 57 first downs (including touchdowns), and 7 touchdowns this season.

• Next, we divide that number by the number of team pass attempts, excluding sacks, ^[1]Why am I excluding sacks? Just to save time. In the offseason, I will re-run these numbers and include sack data. by that player’s offense in the games he played. Now Brown hasn’t missed a game this season, so it’s pretty simple: Pittsburgh has thrown 426 passes so far in 2015, which means Brown is averaging 4.46 ACY/TmAtt. By comparison, Julio Jones — who leads all players in Adjusted Catch Yards with 2,016 (1,338 receiving yards, 68 (!) first downs, 6 touchdowns) — is averaging “only” 4.21 ACY/TmAtt, because the Falcons have thrown 479 passes. Think of it this way: Jones has essentially played in one more, super high-volume passing game than Brown, yet has “only” 116 more Adjusted Catch Yards than him (and Brown is averaging 158 ACY/G). As a result, after adjusting for pass attempts, Brown is number one in this metric.

• One player who really stands out by looking at Adjusted Catch Yards per Attempt but excluding games that player missed is Alshon Jeffery. The Bears wide receiver has had a somewhat quiet season: after all, he’s scored just two touchdowns and has missed five games. But the Bears have been pretty run-heavy this year, and Jeffery has been a first down machine. He has 47 catches for 690 yards and 37 first downs, good enough for 1,045 Adjusted Catch Yards in seven games. Chicago has thrown only 236 pass attempts in those games, giving Jeffery a remarkable 4.43 ACY/TmAtt average this year. Thought of another (perhaps simpler) way, Jeffery ranks 3rd in the NFL in receiving yards per game. In fact, the Bears have totaled just 49% of the pass attempts in Jeffery games as the Falcons have in Jones games, while Jeffery has 52% as many ACY. As a result, he slides past Jones into the number two slot.

[continue reading…]

On Tuesday, I looked at which receivers produced the most Adjusted Catch Yards over the baseline of worst starter. Yesterday, I used that data to help identify which receivers produced their numbers in the most pass-happy offenses. Today, instead of measuring wide receivers by how often their teams passed, I want to measure them by how well they passed.

Some teams are very efficient at passing because they have great wide receivers: to be clear, today’s post doesn’t prove anything about which way the causation arrow runs. But I do think it’s worth quantifying the reality that receivers produce their numbers in very disparte environments. Let’s use Joey Galloway as an example. Galloway, longtime readers will recall, was a favorite of an early iteration of Doug Drinen’s attempts at ranking wide receivers. For similar reasons, Galloway comes out “very good” in this system, if good means producing numbers while playing for bad passing offenses (a proxy, one could argue, for playing with bad quarterbacks).

Galloway produced 2,071 Adjusted Catch Yards above the baseline in his career, good for an unremarkable 84th place on Tuesday’s list. But let’s look at the 8 seasons that get Galloway there: [continue reading…]

Yesterday, I looked at which receivers produced the most Adjusted Catch Yards over the baseline of the worst starter. Today, I want to use that data to help identify which receivers put up their numbers in the most pass-happy offenses.

Let’s use Calvin Johnson as an example. He’s been with the Lions for each season of his career, and Detroit has been very pass-happy throughout his career. Last year, Detroit averaged averaged 40.56 dropbacks (pass attempts plus sacks) per game, while the league average was 37.29 dropbacks per game. So Detroit passed 108.8% as often as the average team.

In 2013, Detroit’s ratio to the league average was 108.2%, but it was 129.8% in 2012. To measure pass-happiness as it pertains to Johnson, we can’t just take Detroit’s average grade from ’07 to ’14; instead, we need to assign more weight to Johnson’s best years. Johnson gained 1,358 ACY over the baseline in 2012, which represents 29% of his career value of 4,721 ACY over the baseline. As a result, Detroit’s 129.8% ratio in 2012 needs to count for 29% of Johnson’s career pass-happy grade.

If we do this for each of the players in yesterday’s top 100, here are the results. [continue reading…]

Adjusted Catch Yards are simply receiving yards with a 5-yard bonus for each reception and a 20-yard bonus for each receiving touchdown. In 2014, Antonio Brown led the NFL with 2,603 Adjusted Catch Yards, the 5th highest total in NFL history. That was the result of a whopping 129 receptions for 1,698 receiving yards (both of which led the league) and 13 touchdowns.

Brown was dominant in 2014, and he led the NFL in more advanced systems, too. But today, I wanted to do something relatively simple. How do we compare Brown’s 2014 to say, three Packers greats from years past?

In 1992, Sterling Sharpe had 108 catches for 1,461 yards and 13 touchdowns. Those are pretty great numbers for 1992, although they don’t leap off the page the way Brown’s 2014 stat line does. If we go back farther, Billy Howton in 1956 had 55 receptions for 1,188 yards and 12 touchdowns. Like Brown, that was good enough to lead the NFL in two of the three major categories, and rank 2nd in the third. And 15 years earlier, Don Hutson caught 58 passes for 738 yards and 10 touchdowns. How do we compare that statline to Brown’s?

Here’s what I did.

1) Calculate each player’s Adjusted Catch Yards. For Brown, that’s 2,603. For Sharpe, Howton, and Hutson, it’s 2,261, 1,703, and 1,228, respectively.

2) Next, calculate the Adjusted Catch Yards for every other player in the NFL. Then, determine the baseline in each year, defined as the number of ACY by the Nth ranked player, where N equals the number of teams in the league. For Brown, that means using 1,398 Adjusted Catch Yards, the number produced by the 32nd-ranked player in ACY in 2014. For Sharpe, we use 1,078 ACY, the number gained by the 28th-ranked player in ’92. For Howton, it’s just 797, the number of ACY for the 12th-ranked player (keep in mind that ’56 was a very run-heavy year). And finally, for Huston, we use the 10th-ranked player from 1941, who gained only 413 Adjusted Catch Yards.

3) Next, we subtract the baseline from each player’s number of Adjusted Catch Yards. So Brown is credited with 1,205 ACY over the baseline, Sharpe gets 1,183 ACY over the baseline, Howton is 906 ACY over the baseline, and Hutson is 815 ACY over the baseline.

4) Finally, we must pro-rate for non-16 game seasons. For Brown and Sharpe, we don’t need to do anything, so Brown wins, 1,205 to 1,183. Howton played in a 12-game season, so we multiply his 906 by 16 and divide by 12, giving him 1,208 ACY, narrowly edging Brown. And in 1941, the NFL had an 11-game slate; multiply 815 by 16 and divide by 11, and Hutson is credited with 1,185 ACY.

As you can see, it wasn’t a coincidence I chose those three Packers seasons to compare to Brown. Those four seasons are the 19th-through-22nd best seasons of all time by this metric, and stand out as roughly equally dominant for their eras (both Sharpe and Hutson won the triple crown of receiving in their years).

This is not my preferred method of measuring wide receiver player, but it’s my favorite “simple” one. I put simple in quotes, of course, since there’s a lot of programming power behind generating these numbers. But at a high level, it’s simple: we combine the three main receiving stats into one, we adjust for era because the game has changed so much, and we pro-rate for years where the league didn’t play 16 games. Nothing more, nothing less. [continue reading…]

On Monday, I noted that Pittsburgh wide receiver Antonio Brown led the NFL in True Receiving Yards for the second straight season. He also, by the slimmest of margins, your leader in Adjusted Catch Yards per Attempt, too.

On October 1st, I looked at the leaders in Adjusted Catch Yards per Team Pass Attempt; at the time, Jordy Nelson had a big lead on the rest of the NFL, although Brown was in second place. You can read the fine details of the system in that post, but the short version is:

• Begin with each player’s number of receiving yards. Add 9 yards for every first down gained, other than first downs that resulted in touchdowns, to which we add 20 yards. For Brown, this gives him 2,624 Adjusted Catch Yards (1,698 receiving yards, 87 first downs, 13 touchdowns).

• Divide that number by the number of team pass attempts, including sacks, by that player’s offense. Pittsburgh recorded 645 dropbacks in 2014, which means Brown averaged 4.07 ACY/TmAtt. Jordy Nelson (1519/71/13) had 2,301 Adjusted Catch Yards and the Packers had 566 team pass attempts. That translates to .. 4.07 ACY/TmAtt, too. But go to three decimal places, and Brown (4.068 to 4.065) becomes your winner.

• I have also included a column for Adjusted Catch Yards per Estimated Team Dropback; here, we use the same formula, but multiply the numerator by 16, and the denominator by the number of games played by the receiver. Let’s use Odell Beckham as an example. The Giants wide receiver finished with 1,959 ACY (1305/58/12) and New York had 637 dropbacks, giving Beckham 3.08 ACY/TmAtt. But if we adjust for the fact that Beckham missed four games, he gets credited with 4.10 ACY/EstTmAtt, which is the highest rate in the NFL.

The table below shows the top 50 receivers in ACY/TmAtt: [continue reading…]

Roger Craig, 1985.

Terrell Owens, 1999.
Terrell Owens, 2000.
Tim Brown, 2001.

Neil Paine wrote a fantastic post today at 538 about wide receivers competing with their teammates for production. That inspired me to start crunching some numbers. From 1985 to 2003, Jerry Rice played in at least 8 games in 18 different seasons. In fourteen of those seasons — including every year from age 24 through age 36, inclusive — Rice led his team in receiving yards per game. In the other four years, Rice ranked 2nd on his team in receiving yards per game, and usually not far behind the number one man. ^[1]In ’85, Craig averaged 63.5 YPG, while Rice averaged 57.9. In 2000, Rice led the team in receiving yards, but Owens averaged 53.9 yards per game, Rice 51.9. Owens blew Rice out of the water … Continue reading Rice finished his career with a forgettable season in Seattle, where three more players — Darrell Jackson, Koren Robinson, and Bobby Engram — out-gained a 42-year-old Rice in receiving yards per game.

What about Marvin Harrison? He led the Colts in receiving yards per game in nine of his 12 seasons in which he played in at least eight games. In 1997, Sean Dawkins edged a Harrison by 3.3 yards per game. In 2004, Reggie Wayne bested Harrison by six yards per game. And in Harrison’s final year, both Wayne and Dallas Clark outgained Harrison. [continue reading…]

Josh Gordon led the league with 1,646 receiving yards last year. That’s impressive: perhaps even more impressive is that he did it on “only” 159 targets, meaning he averaged 10.35 yards per target. ^[1]That’s the most of any receiver with over 130 targets. It’s the second most among players with 100 targets, behind DeSean Jackson‘s 10.6 average on 126 targets. It’s the … Continue reading But the most impressive part, of course, was that he did it for the Browns. You know, the Browns, quarterbacked by a three-headed monster of Jason Campbell, Brandon Weeden, and Brian Hoyer, each of whom managed to average a around the same mediocre 6.4 yards per attempt.

Here’s another way to think of it. While Jordan Cameron was somewhat efficient (7.7 yards per target), the other three Browns to finish in the top five in Cleveland targets were Greg Little (4.7 yards per target), Chris Ogbonnaya (4.6), and Davone Bess (4.2!). And here’s yet another way to think of it: the Browns threw 681 passes last year and gained 4,372 passing yards. But 1,646 of those yards came on the 159 passes intended for Gordon. Remove those plays, and Cleveland averaged just 5.22 yards per pass attempt on passes to all other Browns last year.

That means Cleveland averaged 5.13 more yards per target on passes to Gordon in 2013 than on passes to everyone else. That’s insane, particularly over 159 targets. How insane? If we multiply those two numbers, we get a “value relative to teammates” metric: Gordon gained 816 more yards on his targets than the other Browns averaged per target. Now, in the abstract, maybe 816 doesn’t mean much to you. But it’s the most of any player since at least 1999. The table below shows the top 75 wide receivers in value relative to teammates: the columns should be self-explanatory, and the “ROT Y/A” shows the yards per attempt on passes to the rest of the team. As always, it’s fully sortable and searchable; by default, it displays only the top 25 receivers, but you can switch that by clicking on the dropdown box to the left. [continue reading…]

In his seven-year career, Calvin Johnson has already recorded 9,328 receiving yards. And for those curious about these sorts of things, he’s the career leader in receiving yards per game at 88.0, too. But Johnson has also benefited greatly from playing on teams that have thrown a weighted average of 635 pass attempts per season.

What is a weighted average of team pass attempts? I’m defining it as an average of pass attempts per season weighted by the number of receiving yards by that player. Why use that instead of a simple average? When thinking about whether a receiver played for a run-heavy or pass-happy team, we tend to think of that receiver during his peak years. If he caught 10 passes for 150 yards as a rookie on a very pass-happy team, that should not be given the same weight as the number of pass attempts his team produced in his best season. For example, here is how I derived the 635 attempt number for Megatron.

Twenty-one percent of his career receiving yards came in 2012, when Detroit passed 740 times (excluding sacks). Therefore, 21% of his team pass attempts average comes from that season, while 18% comes from his 2011 season, 16% from his 2013 season, and so on. In the table below, the far right column shows how we get to that 635 figure: by multiplying in each season the percentage of career receiving yards recorded by him in that season by Detroit’s Team Pass Attempts.

There are 121 players with 7,000 career receiving yards. Unsurprisingly, Johnson has the highest weighted average number of team pass attempts, which must be recognized when fawning over his great raw totals. Marques Colston is just a hair behind Johnson, but no other player has an average of 600+ team pass attempts.

The table below contains data for all 121 players (by default, the table displays only the top 25, but you can change that). Here’s how to read it, starting with the GOAT: Jerry Rice ranks first in career receiving yards, and he played from 1985 to 2004. Rice played in 303 games, gained 22,895 receiving yards, and his teams threw a weighted average of 547 passes per season. Among these 121 players, that rank Rice as playing for the 25th highest or most pass-happy team. Rice also averaged 76 receiving yards per game, which ranks 5th among this group. [continue reading…]

On Sunday, Calvin Johnson picked up 329 receiving yards against the Cowboys, the second most receiving yards in a single game after Flipper Anderson’s 336 yards in 1989 against the Saints. But when I think of the greatest games by a receiver of all time, my mind instantly goes to a performance by Kansas City’s Stephone Paige in a game in December 1985 against the Chargers. Regular readers will recall that this summer, Neil Paine and I developed a statistic known as True Receiving Yards. You can see a list of the leaders in TRY since 1950 here, but today I want to apply that same methodology on the single-game level. After crunching the numbers, Paige comes in at #2, Megatron’s performance comes in at #11, and Anderson is all the way down at #26. Why? How? Glad you asked. And I’ll keep the top spot a secret for now, in case anyone wants to guess.

1) First, we convert receiving yards into Adjusted Catch Yards by giving a five-yard bonus for receptions and a 20-yard bonus for touchdowns. Johnson had 419 ACY against the Cowboys, tied with Jerry Rice (against the ’95 Vikings) for the third highest mark since 1960.  The top spot belongs to Anderson at 431 (and personal favorite Jimmy Smith holds the number two spot for his performance against the 2000 Ravens). Paige — who produced an 8-309-2 stat line — totaled 389 Adjusted Catch Yards.

2) Next, we convert back to receiving yards by multiplying each receiver’s ACY by the league average ratio of receiving yards to Adjusted Catch Yards in that season. The point of using ACY instead of receiving yards is to include things other than receiving yards, but we still want to convert back into receiving yards. In 1985, the ACY/RecYd ratio was 0.66, in ’89 it was 0.66, and through eight weeks, that number is 0.65 in 2013, so not much is changing here. After step two, Anderson is at 286.6 receiving yards, Johnson 270.9 yards, and Paige 258.0 yards.

3) The third step is the pass attempts adjustment. The league average team team this year has averaged 38.7 attempts (including sacks) in 2013, while Matthew Stafford had 49 dropbacks yesterday. This means the Lions passed 26.6% more often than the average team. So what sort of adjustment do we make? In True Receiving Yards version 2.0, we split that number in half. I tried that here, and honestly, the numbers just didn’t look right — the top of the list was almost exclusively players on teams that had 10 or 12 pass attempts in that game. So instead of contracting the difference between pass attempts and league average pass attempts by two, I’m going to do it by three. So Johnson only gets downgraded to 91.1% of his production, or 246.9 yards.

Anderson’s record-breaking performance came in overtime in a game the Rams trailed by 14 entering the fourth quarter. As a result, Jim Everett had 57 dropbacks in a time period when 34.5 attempts was the norm.  So with Los Angeles having 65.3% more attempts than the average team that year, we have to lower Anderson from 286.6 to 224.1.

Paige, meanwhile, goes far in the other direction. The Chiefs took a 35-3 second quarter lead that day — in no small part due to Paige’s touchdown receptions of 56 and 84 yards — so Kansas City was limited to just 24 dropbacks. The average number of dropbacks in ’85 was 35.1, putting the Chiefs at just 68.4% of league average. Therefore, we bump up Paige by 15.4%, vaulting him from 258 yards to 297.9.

4) The final adjustment is the era adjustment. I’m going to use a different way to incorporate era adjustments here, because while passing yards have shot through the roof, the value of a team’s #1 wide receiver has been much less volatile. So I used the following baseline for each year: the number of Adjusted Catch Yards in the Nth best receiving game, when 2N = the number of team games in that season. So in modern times, with 512 games, this means the 256th highest ACY total in that season is the baseline; in 2011 and 2012, that was 135 Adjusted Catch Yards. From 1960 to 2012, the average was 124.3. ^[1]Note: I was lazy, and combined the AFL and NFL. I know, I know.

So what we do now is multiply each receiver’s score from step three by the baseline for that year, and divide by 124.3. I will use the same 135 as the baseline for 2013, which brings Megatron to 227. The baseline in ’89 was 130, so Anderson goes to 214.3, and in ’85, the baseline was 125, so Paige only drops to 296.2.

If you’ve made it this far, then maybe I’m not a complete idiot for putting the fine print up front. Without further ado, here are the top 250 ^[2]Note. I excluded two games during the 1987 strike played with replacement players: Anthony Allen had 262 TRY against the Cardinals, and Steve Largent had 260 TRY in Detroit. performances since 1960 using this formula:
[continue reading…]

About a month ago, Chase & I developed a stat called True Receiving Yards, which seeks to put all modern & historical receiving seasons on equal footing by adjusting for the league’s passing YPG environment & schedule length, plus the amount the player’s team passed (it’s easier to produce raw receiving stats on a team that throws a lot), with bonuses thrown in for touchdowns and receptions. It’s not perfect — what single stat in a sport with so many moving parts is? — but it does a pretty good job of measuring receiving productivity across different seasons and across teams with passing games that operated at vastly different volumes.

Anyway, today’s post is basically a data dump to let everyone know we’ve extended TRY data back to 1950 (before, it was only computed for post-merger seasons). Here are the new all-time career leaders among players who debuted in 1950 or later (see below for a key to the column abbreviations):
[continue reading…]

In 1998, 21-year-old Randy Moss made a stunning NFL debut, racking up 17 touchdowns and 1,260 True Receiving Yards, the 2nd-best total in football that season. The Vikings’ primary quarterback that year, Randall Cunningham, was a former Pro Bowler and MVP, but all that seemed like a lifetime ago before the ’98 season. He’d been out of football entirely in 1996, and in 1997 he posted an Adjusted Net Yards per Attempt average that was 1.2 points below the league’s average (for reference’s sake, replacement level is usually around 0.75 below average). With Moss in ’98, though, Cunningham’s passing efficiency numbers exploded: he posted a career best +3.2 Relative Adjusted Net Yards per Attempt, miles ahead of his perfectly-average overall career mark. If we adjust for the fact that Cunningham was also 35 at the time (an age at which quarterbacks’ RANY/A rates tend to be 1.1 points below what they are at age 27), Cunningham’s 1998 rate was actually 4.3 points better than we’d expect from the rest of his career, a staggering outlier.

The following year, Jeff George took over as the Vikings primary quarterback, and he promptly posted a Relative ANY/A 2.2 points higher than expected based on his age and the rest of his career. ^[1]Cunningham’s RANY/A was also 1.0 better than expected in limited action. George left Moss and Minnesota after the season, and he would throw only 236 passes the rest of his career, producing a cumulative -0.6 RANY/A in Washington before retiring.

From 2000-04, Moss was the primary target of Daunte Culpepper, whose RANY/A was 0.7 better than expected (based on Culpepper’s career numbers) when Moss was around. ^[2]That number is an average weighted by the number of TRY Moss had in each season Although he’d enjoyed one of the best quarterback seasons in NFL history in 2004, Culpepper was never the same after Moss was traded to Oakland; in fact, he never even had another league-average passing season, producing a horrible -1.2 RANY/A from 2005 until his retirement in 2009. ^[3]To be fair, Culpepper tore his ACL, MCL, and PCL halfway through the 2005 season, which also was a factor in his decline.

Moss’s stint with the Raiders was famously checkered — although Kerry Collins’ RANY/A was 0.6 better than expected in 2005, Aaron Brooks played 2.5 points of RANY/A below his previous standards in 2006 — but we all know what happened when he joined the Patriots in 2007. With Moss, Tom Brady’s RANY/A was a whopping 1.3 points higher than expected from the rest of his career, and Moss also played a big role in Matt Cassel’s RANY/A being +1.0 relative to expectations after Brady was lost for the season in 2008.

While Moss’s post-Pats career hasn’t exactly been the stuff of legends, the majority of his career (weighted by True Receiving Yards) saw him dramatically improve his quarterbacks’ play relative to the rest of their careers. In fact, his lifetime WOWY (With or Without You) mark of +1.1 age-adjusted RANY/A ranks 3rd among all receivers who: a) had at least 3,000 career TRY, b) started their careers after the merger, and c) played exclusively with quarterbacks who started their careers after the merger. And the first two names on the list are possibly explained by other means. The table below lists all 301 receivers with 3,000 career TRY. The table is fully sortable and searchable, and you can click on the arrows at the bottom of the table to scroll. The table is sorted by the QB WOWY column.
[continue reading…]

On Thursday, Neil and I introduced you to the concept of True Receiving Yards. That’s required background reading, but in a nutshell, True Receiving Yards is designed to place all receivers since 1970 into the same environment. It starts with receiving yards, but gives a bonus for receptions and touchdowns, adjusts for how frequently a player’s team passes, adjusts for the league passing environment, and adjusts for the number of games played on the NFL schedule in that season.

Neil and I listen to your comments, and we’ve made a big tweak to the methodology: we agree that True Receiving Yards, version 1.0, was a bit biased in favor of receivers on low-volume passing teams.  Based on yesterday’s research, we are now going to limit the adjustment for how frequently a player’s team passes (relative to league average) to just 50% of the old adjustment.

This now moves Cliff Branch up to #1 on the single-season list, presented below.  Let’s run through the math one time to explain it. In 1974, Branch’s 60-1092-13 stat line translates to 1,652 Adjusted Catch Yards. The Adjusted Catch Yards to Receiving Yards ratio for the entire league that season was 65.6%, so that translates to 1,083 receiving yards for Branch.  Now, the league average team that year passed 401 times, while Oakland had just 359 dropbacks. Instead of an 11.7% adjustment in Branch’s favor (as we did in TRYv1.0), he gets a 5.85% adjustment, bringing him up to 1,146 yards. Next, we multiply that by 214.54 (the average receiving yards per game over the 43-year period) and divide by 171, which represents the low-octane era of 1974; that gives us 1,436 yards. Finally, we pro-rate to 16 games, and end up with 1,641 True Receiving Yards. That’s the most in any season since 1970:
[continue reading…]

On Thursday, Neil and I introduced you to the concept of True Receiving Yards. True Receiving Yards is designed to place every receiver into the same environment. TRY starts with receiving yards, but gives a bonus for receptions and touchdowns, adjusts for how frequently a player’s team passes, adjusts for the league passing environment, and adjusts for the number of games scheduled for the team that season.

The bolded adjustment caused some consternation for some of the commenters. Some folks feel that if Team X passes twice as often as Team Y, we shouldn’t just expect the top WR on Team X to gain as many receiving yards as the top WR on Team Y. There’s some merit to that argument: in general, high-pass teams probably have more receivers on the field on a given play, and low-pass teams are often in more favorable situations. Being the only wide receiver on the field on a play-action pass is probably an easier situation to gain yards than being one of four wide receivers in an obvious passing situation.

In other words, some feel that we shouldn’t expect a one-to-one increase in receiving yards (or Adjusted Catch Yards) relative to team pass attempts. Is there a way to test that? Neil and I came up with three such methods.

Year-to-Year Case Study

Neil looked at all wide receivers since 1970, ages 23-30, who started every game for the same team in back-to-back seasons (Years Y and Y+1). The sample was 245 pairs of player-seasons, after removing 2 extreme outliers: Drew Hill 1985 (went from 335 True Receiving Yards without the team attempt adjustment in 1984 to 1048 in 1985) and Roger Carr 1976 (went from 591 to 1438).
[continue reading…]

As you guys know, Neil Paine is the man. Here’s the latest reason: he came up with a metric called True Receiving Yards, the latest in a long line of thoughts in our Wide Receiver Project. So, what are True Receiving Yards?

We start with Adjusted Catch Yards, defined as 5 * Receptions + Receiving Yards + 20 * Receiving Touchdowns.

1) Then, we convert each player’s Adjusted Catch Yards to the same scale as pure receiving yards using the following formula:

Adjusted Catch Yards * League Receiving Yards / League Adjusted Catch Yards

2) Next, we adjust for how often the receiver’s team passed.  We use the following formula:

[Result in Step 1] * League_Avg_Team_Pass_Attempts / Team_Pass_Attempts

For purposes of this post, Team Pass Attempts include sacks.

3) Then we adjust for the league passing environment, by using this formula:

[Result in Step 2] * by (214.54/Avg_Team_Receiving_Yards_Per_Game).

Why 214.54? Because that’s how many yards the average NFL team has passed for in each season since 1970.

4) Finally, we need to adjust for schedule length. This one’s pretty simple:

[Result in Step 2] * 16 / Team Games

As it turns out, the single-season leader in True Receiving Yards is….. Harold Jackson for the 1973 Rams. That will probably surprise some folks; heck, it surprised me. So let’s walk through Jackson’s season by comparing it to Calvin Johnson’s 2012. Jackson caught 40 passes for 874 yards and 13 touchdowns. That gives him 1,334 Adjusted Catch Yards, while Megatron’s 122-1964-5 translates to 2,674 Adjusted Catch Yards, more than twice what Jackson produced.

1) First, we need to convert those ACY numbers into receiving yards.  In 1973, that conversion ratio is 65.5%, and in 2012, it was 64.5%; this means Jackson is credited with 874 receiving yards (ironically, his actual number) while Johnson is pushed down to only 1,725 yards. This is because Johnson had a ton of yards but only five touchdowns.  In other words, based on his receptions, receiving yards, and receiving touchdowns, Johnson was more like a 1,725-yard receiver last year.

2) Jackson’s Rams had just 288 Team Pass Attempts, while the average team in 1973 averaged 373.3 pass attempts. So we need to bump Jackson up by 29.6%, which would give him 1,132 receiving yards. The 2012 Lions had 769 Team Pass Attempts compared to a league average of 592.4; therefore, we need to give Johnson credit for only 77% of his ACY, bringing him down to 1,329 receiving yards.

3) Next, we adjust for league environment. In 1973, the average team passed for 159 yards per game, which means we need to bump Jackson up by 34.6% (the result of 214.54 divided by 159); this gives him 1,524 receiving yards. For Megatron, since the average team in 2012 passed for 246 yards per game, we need to multiply his result in step 2 by 87.2%, leaving him with only 1,159 receiving yards.

4) For Calvin Johnson, that’s it: he is credited with 1,159 True Receiving Yards, after reducing his numbers for playing in a pass-happy offense, playing in a pass-happy era, and not having many touchdowns. For Jackson, his 1,524 gets pro-rated to a 16-game season, giving him 1,742 True Receiving Yards.
[continue reading…]

When I wrote my ode to Steve Smith earlier this week, I discovered an incredible stat. In 2008, Smith played in 14 games and gained 1,421 receiving yards. But the more incredible part is that the Panthers passed only 352 times in 2008, meaning Smith averaged an absurd 4.04 yards per team pass attempt. At this point, we all know that passing yards is a meaningless way to measure quarterbacks: yards per attempt is a much better indicator of talent. It’s much easier to throw for 4,000 yards on 600 attempts than it is on 500 attempts, and it’s silly to pretend otherwise. But most analysts don’t make the same adjustment when dealing with the man catching those passes. But it’s much easier to gain 1,500 receiving yards on a team that passes 700 times than it is to do it on a team that passes only 500 times. Hence my interest in Yards per Team Pass Attempt as a statistic.

So, how absurd was Smith’s 4.04 Yards per attempt average? We have individual player game logs going back to 1960, so I went through and measured every game each receiver “played” in each season since then. I use that word in quotes, because it’s possible that a receiver was active in a game but did not record any statistics, and therefore he may not show up in our game logs. That caveat aside, the table below shows the single-season leaders since 1960 in Receiving Yards per Team Pass Attempt (minimum 170 passes, so I could bring in Paul Warfield), with only the games in which the player “played” counting in the attempts column. As always, the table is sortable and searchable, and you can click the arrows at the bottom to scroll to the next names on the list (the table contains the 138 receivers to average 2.75 Yd/Att.)
[continue reading…]

We don’t rank quarterbacks by passing yards because “passing yards” is largely a function of pass attempts. The same is true for receiving yards, as the number of times a team passes the ball has a big impact on a receiver’s yardage total. I’ve spent some time this year looking at ways to rank wide receivers and am throwing another log on that fire today. One idea I like in theory is receiving yards per team pass attempt, as it helps to solve the problem of dealing with receivers who play on pass-heavy teams.

But there are some obvious drawbacks to that approach. There are more passing options on the field now than ever before, so it’s tough to use receiving yards per team pass attempt across eras. For example, Jim Benton in 1945 owns the record in this metric at 5.36 yards per team attempt in 1945; even if you consider that high number a byproduct of World War II, Harlon Hill averaged 4.5 yards per team pass in 1956 for the Bears. Carolina’s Steve Smith is the single-season leader in yards per team attempt since 1970. And he also holds down the #2 on that list. Smith averaged 3.48 yards per team pass attempt in 2005; three years later, he averaged 3.43 Yd/TPA (but in the 14 games he played, Smith averaged an absurd 4.04 Yd/TPA).

A few weeks ago, I ranked receivers by their percentage of team receiving yards in their best six seasons. I thought it would be fun to do the same thing with yards per team pass attempt (excluding sacks). The results are listed below for the top 200 receivers; I’ve also included the six years selected for each receiver to come up with their average. As always, you can use the search box to find your favorite receiver, and the table is sortable, too. ^[1]Note that I am only giving a receiver credit for his receiving yards with each team in each season, so for say, Wes Chandler, his 1981 season is undervalued.
[continue reading…]

Seven years ago, Doug wrote this post analyzing wide receivers by team receiving yards. That post was overdue for an update for three reasons: (1) it was written seven years ago; (2) Doug only went back to 1978, while we now can go back to 1932; and (3) I think using Adjusted Catch Yards (which gives receivers 5 additional yards for every reception and 20 additional yards for every touchdown) is better than just using receiving yards.

For every year of every receiver’s career, I computed the percentage of his team’s Adjusted Catch Yards that he accounted for. I then averaged together each receiver’s 6 best six seasons according to that metric, and ignored all wide receivers who have played in fewer than six seasons. The results are listed below for the 161 receivers to hit the 25% mark, along with the six years selected for each receiver. As always, you can use the search box to find your favorite receiver, and the table is sortable, too.
[continue reading…]

I’ve written several posts about how to grade wide receivers and did a three-part series on one ranking system two weeks ago. Grading wide receivers requires one to adjust for era, but there are many different ways to do that.

Calvin Johnson caught 122 passes last year for 1,964 yards and five touchdowns. In 1973, Harold Carmichael had 67 receptions, 1,116 yards and nine scores. Which season was better? You might be inclined to think Johnson’s season was much better regardless of era, but both receivers led their respective leagues in both receptions and receiving yards. But let’s think about it another way.

In 1973, all the players on the 26 teams in the NFL combined for a total of 4,603 catches and 58,009 receiving yards. That means Carmichael was responsible for 1.46% of all receptions and 1.92% of all receiving yards. Of course, with only 26 teams, we need to multiply those numbers by 26/32 make for an apples-to-apples comparison of the modern environment. If we want to transport Carmichael into 2012, that means he needs to be credited with 1.18% of all receptions and 1.56% of all receiving yards accumulated last year. That would give him 128 catches and 1,970 receiving yards, and thanks to recording 1.93% of all receiving touchdowns in 2012, 14.6 touchdowns.

This analysis is actually unfair to active players, as there are more three-, four-, and five-wide receiver sets than ever before. Elroy Hirsch gained 1,495 receiving yards in 12 games — an outstanding rate of production in any era — but that translates to an absurd 2,667 receiving yards in 2012. In Don Hutson’s magical 1942 season, after multiplying by 10/32, he gained 2.3% of the league’s receptions, 2.8% of the receiving yards, and 4.9% of the touchdowns — for a 254/3501/37 stat line.
[continue reading…]

On Monday, I explained my methodology for ranking every wide receiver in football history, and yesterday, I presented a list of the best single seasons of all time. Today the career list of the top 150 wide receivers. As usual, I implemented a 100/95/90 formula, giving a player credit for 100% of his production in his best season, 95% of his value in his second-best season, 90% in his third year, and so on. The table below is fully sortable and lists the first and last year each person played wide receiver ^[1]Note that I have excluded seasons where a wide receiver played running back or tight end. This is generally not a big deal, but does hurt someone like Lenny Moore.; you can use the search feature to find the best receiver to ever play for each team (for example, typing ‘ram’ for the Rams ‘clt’ for the Colts.)
[continue reading…]

Yesterday, I explained my methodology for ranking every wide receiver in football history. Today I’m going to present a list of single-season leaders, which presents some problems.

I think the method I described yesterday does a good job adjusting for era, as receivers are only given credit for their yards above the baseline, which is different each season. But there are some other complicating factors unique to football. Seasons have had varying lengths: a receiver who plays 12 games in a 12-game season can’t be penalized the way you would penalize a receiver who only plays in 12 games now. Since older receivers are generally at a disadvantage for many reasons, I decided to simply pro-rate the value for all non-16 game seasons as if it was a 16-game season. However, I have also included downward adjustments for players in other leagues and during World War II. ^[1]The fine print: For players in 1943, 1944, and 1945, and for players in the AAFC, I only gave the receivers credit for 60% of the value they created. For the AFL, I gave players 60% of their value in … Continue reading

The table below lists the top 200 wide receiver seasons of all-time.
[continue reading…]

Regular readers know that one of my projects this off-season is to come up with a better way to grade wide receivers. I first attempted to rank every wide receiver four years ago. That study, which I will reproduce this week, has some positives and negatives. My goal is to eventually come up with four or five different ranking systems, so consider the series this week to be the first of several ranking systems to come.

The first step in this system is to combine the three main stats — receptions, receiving yards and receiving touchdowns — into one stat: Adjusted Catch Yards. We know that a passing touchdown is worth about 20 yards, so I’m crediting a receiver with 20 yards for every touchdown reception. Next, we need to decide on an appropriate bonus for each reception.

We want to give receivers credit for receptions because, all else being equal, a receiver with more receptions is providing more value because he’s likely generating more first downs. I looked at all receivers over a 12-year period who picked up at least 30 receiving first downs. I then used the number of receptions and receiving yards those players had as inputs, and performed a regression to estimate how many first downs should be expected. The best-fit formula was:
[continue reading…]