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Background reading (Part I, Part II, Part III, Part IV, Part V: Career Era-Adjusted Passer Ratings Through 2016, 2017 Era-Adjusted Passer Ratings). You can also view the single-season era-adjusted passer ratings here.

The NFL’s passer rating formula can be broken down into the following.

A = (Cmp% – .30) * 5
B = (Y/A – 3.0) * .25
C = TD% * 20
D = 2.375 – Int% * 25

Passer Rating = 100 * (A + B + C + D) / 6

Let’s use Tom Brady as an example.  He has a completion percentage of 63.93 (making A = 1.696), a yards per attempt average of 7.514 (making B = 1.128), a TD percentage of 5.54% (making C = 1.108), and an INT percentage of 1.82% (making D = 1.921).  If you sum A, B, C, and D, multiply by 100, and divide by 6, you get 97.6, which is Brady’s career passer rating.

Last year, I derived the formula to create era-adjusted passer ratings.  This is necessary because the league averages in these variables — particularly completion percentage and interception rate — have changed dramatically over the last 50 years.  For example, when passer rating was created in the early 1970s, the average completion percentage was 50%.  So instead of taking each passer’s completion percentage and subtracting 0.30 (before multiplying by 5), we take each passer’s completion percentage and subtract from that the league average in a given season minus 0.20.  This makes a completion percentage of 60% in the 1970s equivalent to a completion percentage of 70% when the league average completion rate is 60%.

We can do that for all the four variables, and keep the same formula/structure largely in place.

Here are the new formulas for each of the four variables:

A = (Cmp% – (League_Avg_Cmp% – 0.20) ) * 5
B = ( Y/A – (League_Avg_Y/A – 4.0) ) * .25
C = TD% * 20 + (1 – 20 * LgAvgTD_Rate)
D = 2.375 – (Int% * 25 + (1.375 – 25 * LgAvgINT_Rate) )

Then we sum A through D, multiply by 100, and divide by 6.  The table below shows the career era-adjusted passer ratings for the 186 passers with at least 1,500 attempts. Here is how to read the table below. Otto Graham is the career leader in era adjusted passer rating (this analysis includes AAFC and AFL data — we are only adjusting for era in this analysis, not strength of league). He threw 2,626 passes in his career, began in 1946 and finished in 1955, had an actual passer rating of 86.6, and an era adjusted passer rating is 95.2. Graham, of course, is in the Hall of Fame.

RankPlayerAttFirst YrLast YearAct PREA PRHOF
1Otto Graham26261946195586.695.2yes
2Sid Luckman17441939195075.093.9yes
3Sammy Baugh29951937195272.292yes
4Len Dawson37411957197582.686.6yes
5Steve Young41491985199996.886.5yes
6Roger Staubach29581969197983.484.6yes
7Aaron Rodgers489520052017103.884.3not el.
8Joe Montana53911979199492.383.8yes
9Frankie Albert15641946195273.581.8no
10Norm Van Brocklin28951949196075.181.6yes
11Peyton Manning93801998201596.581not el.
12Sonny Jurgensen42621957197482.680.3yes
13Tom Brady88052000201797.680.2not el.
14Ken Anderson44751971198681.979.8no
15Kurt Warner40701998200993.779.8yes
16Fran Tarkenton64671961197880.479.7yes
17Tony Romo43352004201697.179.2not el.
18Bob Griese34291967198077.179yes
19Drew Brees92942001201796.778.9not el.
20Bart Starr31491956197180.578.7yes
21Y.A. Tittle43951948196474.377.8yes
22Russell Wilson28342012201798.877.5not el.
23Johnny Unitas51861956197378.277.2yes
24Bert Jones25511973198278.277.2no
25Dan Marino83581983199986.476.9yes
26Daryle Lamonica26011963197472.976.5no
27Philip Rivers64922004201794.875.9not el.
28Charlie Conerly28331948196168.275.7no
29Ben Roethlisberger64932004201794.075.5not el.
30Chad Pennington24712000201090.175.4no
31Dan Fouts56041973198780.275.4yes
32Frank Ryan21331958197077.675.1no
33Jim Kelly47791986199684.474.9yes
34Neil Lomax31531981198882.774.9no
35Bob Waterfield16171945195261.674.6yes
36Jeff Garcia36761999200987.574.3no
37Danny White29501976198881.774.3no
38Daunte Culpepper31991999200987.874.1no
39Matt Ryan55932008201793.473.8not el.
40Roman Gabriel44981962197774.373.6no
41Greg Landry23001968198472.973.6no
42Rich Gannon42061987200484.773.5no
43Earl Morrall26891956197674.173.4no
44Brett Favre101691991201086.073.3yes
45Ken Stabler37931970198475.373.3yes
46Tom Flores17151960196967.673.1no
47Bernie Kosar33651985199681.873no
48Trent Green37401997200886.073no
49Craig Morton37861965198273.572.6no
50Billy Kilmer29841961197871.672.3no
51Dave Krieg53111980199881.572.3no
52Joe Theismann36021974198577.472.3no
53Randall Cunningham42891985200181.572.1no
54Ken O'Brien36021984199380.472no
55Mark Brunell46401994201184.071.9no
56Kirk Cousins20962012201793.771.8not el.
57Matt Schaub32742004201689.171.8not el.
58Boomer Esiason52051984199781.171.7no
59Don Meredith23081960196874.871.6no
60Tony Eason15641983199079.771.5no
61Donovan McNabb53741999201185.671.3no
62Gary Danielson19321976198876.671.2no
63Warren Moon68231984200080.971.2yes
64Troy Aikman47151989200081.671.1yes
65Neil O'Donnell32291991200381.871.1no
66John Hadl46871962197767.471no
67Brian Sipe34391974198374.870.9no
68John Brodie44911957197372.370.9no
69Billy Wade25231954196672.270.8no
70Milt Plum24191957196972.270.7no
71Steve Bartkowski34561975198675.470.7no
72Phil Simms46471979199378.570.6no
73Brad Johnson43261994200882.570.4no
74John Elway72501983199879.970.4yes
75Terry Bradshaw39011970198370.970.3yes
76Bill Munson19821964197971.570.3no
77Steve McNair45441995200782.870.3no
78Bobby Layne37001948196263.470.1yes
79Jeff Hostetler23381985199780.570no
80David Garrard22812002201085.869.9no
81Steve Beuerlein33281988200380.369.8no
82Marc Bulger31712002200984.469.8no
83Carson Palmer63072004201787.969.8not el.
84Jeff George39671990200180.469.7no
85Jim McMahon25731982199678.269.7no
86Brian Griese27961998200882.769.6no
87Bobby Hebert31211985199678.069.4no
88Mark Rypien26131988200178.969.4no
89Bill Kenney24301980198877.069.1no
90Bill Nelsen19051963197270.268.9no
91Jim Everett49231986199778.668.8no
92Chris Chandler40051988200479.168.8no
93Joe Namath37621965197765.568.7yes
94Elvis Grbac24451994200179.668.5no
95Alex Smith46132005201787.468.4not el.
96Andy Dalton35562011201788.768.2not el.
97Matthew Stafford48502009201788.368.1not el.
98Ron Jaworski41171974198972.867.8no
99Colin Kaepernick16922011201688.967.6not el.
100George Blanda40071949197560.667.4yes
101Jim Harbaugh39181987200077.667.3no
102Steve DeBerg50241978199874.267.3no
103Charley Johnson33921961197569.267no
104Wade Wilson24281981199875.666.9no
105Matt Hasselbeck53301999201582.466.8not el.
106Jake Delhomme29321999201181.366.6no
107Jay Cutler49202006201785.366.5not el.
108Jeff Blake32411992200578.066.5no
109Tommy Kramer36511977199072.866.4no
110Lynn Dickey31251971198570.966.3no
111Andrew Luck26512012201687.366.3not el.
112Jim Hart50761966198466.666.1no
113Archie Manning36421971198467.166no
114Steve Grogan35931975199069.665.9no
115Erik Kramer22991987199976.665.8no
116Babe Parilli33301952196959.665.7no
117Doug Flutie21511986200576.365.6no
118Chris Miller28921987199974.965.4no
119Derek Carr22472014201787.565.4not el.
120Aaron Brooks29632000200678.565.2no
121Stan Humphries25161989199775.865.2no
122Ryan Tannehill26372012201686.565.1not el.
123Charlie Batch16041998201277.265.1no
124Jim Plunkett37011971198667.565.1no
125Eddie LeBaron17961952196361.465.1no
126Eli Manning73962004201783.565.1not el.
127Drew Bledsoe67171993200677.165.1no
128Sam Bradford28872010201785.165.1not el.
129Mike Livingston17511968197963.365.1no
130Joe Ferguson45191973199068.465no
131Jameis Winston15442015201787.264.9not el.
132Jason Campbell25182006201481.764.9not el.
133Jay Fiedler17171995200577.164.8no
134Cam Newton34212011201785.364.7not el.
135Steve Bono17011985199975.364.7no
136Scott Mitchell23461991200175.364.6no
137Byron Leftwich16052003201278.964.5no
138Joe Flacco52912008201784.164.5not el.
139Jon Kitna44421997201177.464.3no
140Michael Vick32172001201580.464.3not el.
141Vinny Testaverde67011987200775.064no
142Jim Zorn31491976198767.364no
143Tobin Rote29071950196656.863.9no
144Kyle Orton27122005201481.263.9not el.
145Don Majkowski19051987199672.963.9no
146Doug Williams25071978198969.463.7no
147Vince Ferragamo16151977198670.163.6no
148Norm Snead43531961197665.563.5no
149Bubby Brister22121986200072.363.5no
150Ed Brown19871954196562.863.3no
151Tim Couch17141999200375.163.2no
152Jay Schroeder28081985199471.762.9no
153Josh McCown25182002201780.862.4not el.
154Richard Todd29671976198567.662.4no
155Rodney Peete23461989200473.362.3no
156Jack Kemp30731957196957.362.2no
157Jake Plummer43501997200674.662no
158Gus Frerotte31061994200874.261.9no
159Eric Hipple15461980198968.761.6no
160Tony Banks23561996200572.461.4no
161Frank Tripucka17451949196352.261.3no
162Matt Cassel26672005201778.860.8not el.
163David Carr22672002201274.960.7no
164Kerry Collins62611995201173.860.6no
165Ryan Fitzpatrick40392005201779.960.5not el.
166Cotton Davidson17521954196854.960.5no
167Dan Pastorini30551971198359.159.9no
168Mike Tomczak23371985199968.959.9no
169Josh Freeman20482009201577.659.8not el.
170Marc Wilson20811980199067.759.5no
171Kordell Stewart23581995200570.759.2no
172Blake Bortles22292014201780.858.5not el.
173Trent Dilfer31721994200770.258.2no
174Chad Henne19562008201775.557.4not el.
175Billy Joe Tolliver17071989199967.757.3no
176Dave Brown16341992200167.956.6no
177Rex Grossman15622003201271.455.8no
178Mark Sanchez22852009201673.955.6not el.
179Joey Harrington25382002200769.455.3no
180Mike Pagel15091982199363.355.3no
181Jack Trudeau16441986199563.355.1no
182Kyle Boller15192003201169.555.1no
183Derek Anderson16042006201771.154.7not el.
184Mark Malone16481980198961.954.3no
185Mike Phipps17991970198152.653.2no
186Rick Mirer20431993200363.552.4no

Much of my analysis this time last year won’t change, of course, so I’m reprinting some of it here. Graham and Len Dawson both rank in the top 4, and both benefited to some extent by player in expansion leagues with weaker competition for the early parts of their careers.  Seeing Sid Luckman and Sammy Baugh in the top three reflects the way those two passers dominated their era.

One fun thing to do is to sort by attempts to see who stands out. Brett Favre ranks 44th in era adjusted passer rating, Peyton Manning is 11th, and Drew Brees is 19th. Dan Marino is 25th, but like Manning, Marino is harmed a bit by ignoring his outstanding sack rate. Tom Brady ranks 13th, while John Elway is down at 74.

Eli Manning is way, way down at 126 — a hair below his father, Archie Manning (who is at 113).  In fact, Manning, with a 65.1 era-adjusted passer rating, has a below-league average passer rating.  By definition, the average passer rating in every season is 66.7 in this formula (400/6).  Players with a 65.1 era-adjusted passer rating include Bledsoe, Plunkett, Tannehill, and Bradford.

The five lowest HOF QBs on the list are John Elway, Terry Bradshaw, Bobby LayneJoe Namath, and George Blanda. Namath had three terrible years when he was washed up, and was outstanding at avoiding sacks, which is why he’s underrated; given Namath’s focus on big plays and avoiding sacks, he’s never going to fare well in passer rating, but his era adjusted rating does rise to 72.9 if you remove his final three seasons.

Blanda was another guy who was incredible at avoiding sacks, and who focused on big plays rather than completion percentage (whereas a contemporary like Dawson’s game was much more about completion percentage and avoiding interceptions). He also is perhaps the weakest quarterback in the Hall of Fame, although his era-adjusted passer rating is still above league average. I’ve written before about the stats of Bradshaw and Elway; Layne’s stats have often underwhelmed me, but Brad Oremland has written some good words about him.

On the other side, you won’t be surprised to see Ken Anderson — whose game was well-designed for passer rating — excels here.  Other than Frankie Albert, who played most of his short career in the AAFC, he has the best passer rating of any retired player not in the HOF.  Kurt Warner is right there, too (though his stats are arguably inflated, too), with Daryle Lamonica (a player whose game was decidedly not passer rating-friendly) and Bert Jones not far behind. Tony Romo is not yet eligible, of course, but he looks great in this analysis as well (of course, Romo has the 4th-best actual passer rating of all time).  Aaron Rodgers, who has the best passer rating ever, ranks 7th once we adjust for era.

What stands out to you?

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