# Passer rating: Map

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Passer rating (known as passing efficiency or pass efficiency in NCAA football) is a measure of the performance of quarterbacks or any other passers in American football and Canadian football. There are at least two formulae currently in use: one officially used by the National Football League and the Canadian Football League, and one used in college football. Passer rating is calculated using each quarterback's completion percentage, passing yardage, touchdowns and interceptions.

## NCAA

Passer rating, known formally in college football as passing efficiency or pass efficiency, is based on player performances. The NCAA passing efficiency formula is far simpler[51252] than the NFL formula, as it lacks limits on the four components:

Passer Rating_{NCAA} = {(8.4 \times YDS) + (330 \times TD) + (100 \times COMP) - (200 \times INT) \over ATT}

The NCAA passer rating has an upper limit of 1,261.6 (every attempt is a 99-yard completion for touchdown), and a lower limit of -731.6 (every attempt is completed, but results in a 99-yard loss). A passer who throws only interceptions will have a -200 rating, as would a passer who only throws completed passes losing an average of 35\tfrac{5}{7} yards.

## NFL

The calculation of the NFL quarterback rating involves more steps than the NCAA formula. In order to establish a maximum value for an NFL player's passer rating, a separate calculation needs to be completed involving each of the following four categories: Completion Percentage, Average Yards Per Attempt, Percentage of Touchdown Passes, and Percentage of Interceptions. If the result in any category is less than 0, the given result should be 0. If the result in any category is greater than 2.375, the given result should be 2.375. This makes the maximum possible quarterback rating for the NFL 158.3. A perfect rating requires at least a 77.5% completion rate, at least 12.5 yards per attempt, a touchdown on at least 11.875% of attempts, and no interceptions.

a = \left (\left ({COMP \over ATT} \times 100 \right ) - 30 \right ) \times .05

b = \left ({YARDS \over ATT} - 3 \right ) \times .25

c = \left ({TD \over ATT} \right ) \times 20

d = 2.375 - \left ({INT \over ATT} \times 25 \right )

Then use the above calculations to complete the passer rating:

Passer Rating_{NFL} = {(a + b + c + d) \over 6} \times 100

This can be shown simplified as:

Passer Rating_{NFL} = \frac{25}{12} \times \left [ 1+40 \left (\frac{COMP}{ATT}\right ) +2 \left (\frac{YARDS}{ATT}\right )+160\left (\frac{TD}{ATT}\right )-200\left ( \frac{INT}{ATT}\right )\right ]

## Records

### NFL

Steve Young currently holds the NFL record for the highest career passer rating for any player with at least 1500 attempts with a mark of 96.8. The highest passer rating for a complete season is 121.1 set by Peyton Manning in 2004. Also in 2004, rookie Ben Roethlisberger posted a mark of 98.1, setting a record for first-year passers. There have been 58 quarterbacks to complete a game with a perfect passer rating of 158.3 (and only six to have accomplished this more than once).

### NCAA

In NCAA Football Bowl Subdivision (formerly division I-A), the career record for passing efficiency is held by Ryan Dinwiddie of Boise State, who had a career mark of 168.9 between 2000 and 2003. The single-season record belongs to Colt Brennan of Hawaii, who amassed a passer rating of 186.0 over the 2006 season, while the freshman record belongs to Michael Vick of Virginia Tech, whose rating during the 1999 season was 180.4. Current NCAA Football Bowl Subdivision passing efficiency ratings can be found here.

## References

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