But let’s ignore those issues today. Reading Mike Tanier’s recent article inspired me to make see what passer rating would look like if we make three tweaks. I’m not going to change any of the weights in the formula, but just redefine the variables.
1) There’s no reason to exclude sack data from passer rating. I’ve stopped writing about how sacks are just as much (if not more) on the quarterback than other passing metrics, because I think that horse has been pretty well beaten by Jason Lisk and me.
2) Scrambles should be treated like completed passes. If Russell Wilson is about to be sacked, but escapes and run for 7 yards, why should that be treated any differently than if Peyton Manning is about to be sacked, but throws a seven-yard pass at the last second?
3) Lost Fumbles should be counted with interceptions. One could make a few advanced arguments here — we should use all fumbles instead of lost fumbles, or fumbles should be given an even stronger weight than interceptions (although consider that in light of this post), or that we should limit ourselves to just fumbles lost on passing plays. I’m going to play the simple card here, and just use lost fumbles data on the season level.
Passer rating consists of four metrics, all weighted equally: completions per attempt, yards per attempt, touchdowns per attempt, and interceptions per attempt. I will use the same formula with the same weights and the same variables, but redefine what those variables are. Here are the new definitions, with the additions in blue.
Completion percentage is now (Completions plus Scrambles) / (Pass Attempts plus Sacks plus Scrambles)
Yards per Attempt is now (Passing Yards plus Yards on Scrambles minus Sack Yards Lost) / (Pass Attempts plus Sacks plus Scrambles)
Touchdown Rate is now (Passing Touchdowns plus Touchdowns on Scrambles) / (Pass Attempts plus Sacks plus Scrambles)
Turnover Rate will replace Interception Rate in the formula, and is calculated as (Interceptions plus Fumbles Lost) / (Pass Attempts plus Sacks plus Scrambles)
The table below lists all of those metrics for the 32 quarterbacks who had enough pass attempts to qualify for the passer rating crown, along with Alex Smith and Colin Kaepernick, who just missed qualifying. Let’s look at the Robert Griffin III line.
He completed 258 of 393 pass attempts for 3200 yards, with 20 touchdowns and five interceptions. Those are the standard stats that make up passer rating, but he also took 30 sacks and lost 217 yards on those sacks. That makes Griffin’s numbers worse, but he also had 38 scrambles for 302 yards (which gets recorded as 38 completed passes for 302 yards), with no scramble touchdowns. Finally, he lost two fumbles. His new completion percentage is 64.2%, his new yards per attempt is 7.13, his new touchdown rate is 4.3%, and his turnover rate (which includes fumbles) is 1.5%. The final two columns show each quarterback’s passer rating under the normal system and their passer rating using these metrics, which I’ll call the FPPR for short.
Rk | Name | Cmp | Att | Yds | TD | Int | Sk | Yds | SCR | SYd/TD | FL | CMP% | Y/A | TD RT | TO RT | PR | FPPR |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1 | Peyton Manning | 400 | 583 | 4659 | 37 | 11 | 21 | 137 | 4 | 27/0 | 2 | 66.4% | 7.48 | 6.1% | 2.1% | 105.8 | 100 |
2 | Aaron Rodgers | 371 | 552 | 4295 | 39 | 8 | 51 | 293 | 18 | 162/1 | 4 | 62.6% | 6.71 | 6.4% | 1.9% | 108 | 95.6 |
3 | Tom Brady | 401 | 637 | 4827 | 34 | 8 | 27 | 182 | 4 | 22/1 | 0 | 60.6% | 6.99 | 5.2% | 1.2% | 98.7 | 94.2 |
4 | Robert Griffin III | 258 | 393 | 3200 | 20 | 5 | 30 | 217 | 38 | 302/0 | 2 | 64.2% | 7.13 | 4.3% | 1.5% | 102.4 | 93.4 |
5 | Matt Ryan | 422 | 615 | 4719 | 32 | 14 | 28 | 210 | 19 | 137/1 | 2 | 66.6% | 7.02 | 5% | 2.4% | 99.1 | 93.4 |
6 | Alex Smith | 153 | 218 | 1737 | 13 | 5 | 24 | 137 | 13 | 111/0 | 1 | 65.1% | 6.71 | 5.1% | 2.4% | 104.1 | 91.5 |
7 | Russell Wilson | 252 | 393 | 3118 | 26 | 10 | 33 | 203 | 47 | 298/2 | 3 | 63.2% | 6.79 | 5.9% | 2.7% | 100 | 91.3 |
8 | Drew Brees | 422 | 670 | 5177 | 43 | 19 | 26 | 190 | 3 | 15/0 | 1 | 60.8% | 7.16 | 6.2% | 2.9% | 96.3 | 91.2 |
9 | Colin Kaepernick | 136 | 218 | 1814 | 10 | 3 | 16 | 112 | 27 | 225/1 | 2 | 62.5% | 7.38 | 4.2% | 1.9% | 98.3 | 91 |
10 | Ben Roethlisberger | 284 | 449 | 3265 | 26 | 8 | 30 | 182 | 13 | 94/0 | 3 | 60.4% | 6.46 | 5.3% | 2.2% | 97 | 87.6 |
11 | Matt Schaub | 350 | 544 | 4008 | 22 | 12 | 27 | 216 | 2 | 10/0 | 0 | 61.4% | 6.64 | 3.8% | 2.1% | 90.7 | 85 |
12 | Eli Manning | 321 | 536 | 3948 | 26 | 15 | 19 | 136 | 9 | 41/0 | 1 | 58.5% | 6.83 | 4.6% | 2.8% | 87.2 | 82.9 |
13 | Tony Romo | 425 | 648 | 4903 | 28 | 19 | 36 | 263 | 9 | 65/0 | 3 | 62.6% | 6.79 | 4% | 3.2% | 90.5 | 82.8 |
14 | Cam Newton | 280 | 485 | 3869 | 19 | 12 | 36 | 244 | 34 | 282/1 | 3 | 56.6% | 7.04 | 3.6% | 2.7% | 86.2 | 79.3 |
15 | Joe Flacco | 317 | 531 | 3817 | 22 | 10 | 35 | 227 | 3 | 24/0 | 4 | 56.2% | 6.35 | 3.9% | 2.5% | 87.7 | 78 |
16 | Andy Dalton | 329 | 528 | 3669 | 27 | 16 | 46 | 229 | 19 | 113/1 | 4 | 58.7% | 5.99 | 4.7% | 3.4% | 87.4 | 77.6 |
17 | Carson Palmer | 345 | 565 | 4018 | 22 | 14 | 26 | 199 | 4 | 25/0 | 5 | 58.7% | 6.46 | 3.7% | 3.2% | 85.3 | 76.9 |
18 | Josh Freeman | 306 | 558 | 4065 | 27 | 17 | 26 | 161 | 20 | 143/0 | 2 | 54% | 6.7 | 4.5% | 3.1% | 81.6 | 76.8 |
19 | Sam Bradford | 328 | 551 | 3702 | 21 | 13 | 35 | 233 | 15 | 98/0 | 1 | 57.1% | 5.94 | 3.5% | 2.3% | 82.6 | 76.3 |
20 | Ryan Fitzpatrick | 306 | 505 | 3400 | 24 | 16 | 30 | 161 | 33 | 185/0 | 6 | 59.7% | 6.03 | 4.2% | 3.9% | 83.3 | 74.9 |
21 | Christian Ponder | 300 | 483 | 2935 | 18 | 12 | 32 | 184 | 34 | 241/2 | 5 | 60.8% | 5.45 | 3.6% | 3.1% | 81.2 | 74.7 |
22 | Matthew Stafford | 435 | 727 | 4967 | 20 | 17 | 29 | 212 | 19 | 96/1 | 4 | 58.6% | 6.26 | 2.7% | 2.7% | 79.8 | 74.7 |
23 | Philip Rivers | 338 | 527 | 3606 | 26 | 15 | 49 | 311 | 7 | 34/0 | 7 | 59.2% | 5.71 | 4.5% | 3.8% | 88.6 | 74.3 |
24 | Jay Cutler | 255 | 434 | 3033 | 19 | 14 | 38 | 250 | 22 | 227/0 | 4 | 56.1% | 6.09 | 3.8% | 3.6% | 81.3 | 71.8 |
25 | Andrew Luck | 339 | 627 | 4374 | 23 | 18 | 41 | 246 | 34 | 241/2 | 5 | 53.1% | 6.22 | 3.6% | 3.3% | 76.5 | 70.5 |
26 | Michael Vick | 204 | 351 | 2362 | 12 | 10 | 28 | 153 | 38 | 298/0 | 5 | 58% | 6.01 | 2.9% | 3.6% | 78.1 | 70.1 |
27 | Nick Foles | 161 | 265 | 1699 | 6 | 5 | 20 | 131 | 7 | 39/1 | 3 | 57.5% | 5.5 | 2.4% | 2.7% | 79.1 | 69.5 |
28 | Brandon Weeden | 297 | 517 | 3385 | 14 | 17 | 28 | 186 | 14 | 103/0 | 1 | 55.6% | 5.91 | 2.5% | 3.2% | 72.6 | 68 |
29 | Blaine Gabbert | 162 | 278 | 1662 | 9 | 6 | 22 | 158 | 9 | 50/0 | 3 | 55.3% | 5.03 | 2.9% | 2.9% | 77.4 | 66.7 |
30 | Ryan Tannehill | 282 | 484 | 3294 | 12 | 13 | 35 | 234 | 7 | 59/0 | 4 | 54.9% | 5.93 | 2.3% | 3.2% | 76.1 | 66.7 |
31 | Jake Locker | 177 | 314 | 2176 | 10 | 11 | 25 | 151 | 25 | 233/0 | 4 | 55.5% | 6.2 | 2.7% | 4.1% | 74 | 66.2 |
32 | Chad Henne | 166 | 308 | 2084 | 11 | 11 | 28 | 169 | 11 | 57/0 | 2 | 51% | 5.68 | 3.2% | 3.7% | 72.2 | 63.2 |
33 | Matt Cassel | 161 | 277 | 1796 | 6 | 12 | 19 | 101 | 16 | 124/0 | 6 | 56.7% | 5.83 | 1.9% | 5.8% | 66.7 | 56 |
34 | Mark Sanchez | 246 | 453 | 2883 | 13 | 18 | 34 | 209 | 8 | 30/0 | 8 | 51.3% | 5.46 | 2.6% | 5.3% | 66.9 | 54.5 |
The world certainly doesn’t need another passer rating formula. But I thought this would be a fun thing to do.