How Are QB Ratings Calculated? Understanding the NFL Passer Rating

The NFL's Quarterback Rating, often simply called Passer Rating, is a fundamental statistic used to evaluate the performance of quarterbacks. While it might seem like a mysterious number, it's actually derived from a straightforward formula involving a few key passing statistics. Understanding how it's calculated can give you a deeper appreciation for quarterback play and the nuances of offensive strategy.

Below, you'll find a calculator where you can input a quarterback's stats to see their passer rating. Following that, we'll break down the exact formula and its components.

NFL Passer Rating Calculator

Your calculated Passer Rating will appear here.

The NFL Passer Rating: A Comprehensive Overview

The NFL Passer Rating was developed in 1973 as a more sophisticated metric than simple completion percentage or yards per game. It combines four key statistical categories, each contributing to a quarterback's overall efficiency in passing the ball. The final rating is a number on a scale from 0 to 158.3, with 158.3 being a "perfect" rating.

The Four Components of the Passer Rating

The formula consists of four separate components, each calculated and then capped at a maximum value of 2.375 and a minimum of 0. These components are designed to equally weigh different aspects of passing efficiency.

1. Completion Percentage Component (A)

This component rewards quarterbacks for accurately completing passes. It's calculated based on the ratio of completions to attempts.

  • Formula: A = ((Completions / Attempts) - 0.3) * 5
  • Cap: The result of 'A' cannot be less than 0 or greater than 2.375.
  • Explanation: A completion rate of 30% (0.3) yields a 0 for this component, while a 77.5% completion rate (0.3 + 2.375 / 5) yields the maximum 2.375. This emphasizes that basic completion percentage isn't enough; efficiency above a baseline is crucial.

2. Yards Per Attempt Component (B)

This component measures a quarterback's ability to gain significant yardage on each pass attempt. It reflects how explosive and downfield a passer is.

  • Formula: B = ((Passing Yards / Attempts) - 3) * 0.25
  • Cap: The result of 'B' cannot be less than 0 or greater than 2.375.
  • Explanation: A quarterback needs to average 3 yards per attempt to get a 0 for this component. Averaging 12.5 yards per attempt (3 + 2.375 / 0.25) would max out this component at 2.375.

3. Touchdown Percentage Component (C)

This component rewards quarterbacks for throwing touchdowns, which are the ultimate goal of passing plays.

  • Formula: C = (Touchdowns / Attempts) * 20
  • Cap: The result of 'C' cannot be less than 0 or greater than 2.375.
  • Explanation: A touchdown rate of 0% yields a 0. A quarterback reaches the maximum 2.375 with a touchdown rate of 11.875% (2.375 / 20).

4. Interception Percentage Component (D)

This component penalizes quarterbacks for throwing interceptions, which are costly turnovers.

  • Formula: D = 2.375 - ((Interceptions / Attempts) * 25)
  • Cap: The result of 'D' cannot be less than 0 or greater than 2.375.
  • Explanation: This is the inverse of the other components; a higher interception rate leads to a lower score. An interception rate of 0% yields the maximum 2.375. An interception rate of 9.5% (2.375 / 25) or higher would result in a 0 for this component.

Combining the Components for the Final Rating

Once each of the four components (A, B, C, D) has been calculated and capped between 0 and 2.375, they are summed together and then scaled to produce the final NFL Passer Rating:

  • Final Formula: Passer Rating = ((A + B + C + D) / 6) * 100

The sum of the four capped components is divided by 6, and then that result is multiplied by 100. This scaling ensures the rating fits the 0 to 158.3 range.

Why the 158.3 Maximum?

The maximum rating of 158.3 is achieved when a quarterback maxes out all four components (2.375 each). So, ((2.375 + 2.375 + 2.375 + 2.375) / 6) * 100 = (9.5 / 6) * 100 = 1.58333... * 100 = 158.333..., which is rounded to 158.3.

Limitations of the NFL Passer Rating

While the NFL Passer Rating is a widely used and generally effective metric, it's not without its flaws. Critics point out that it:

  • Ignores Sacks: It doesn't account for sacks, which are negative plays that impact offensive efficiency.
  • Doesn't Account for Rushing: It's purely a passing statistic and doesn't factor in a quarterback's rushing ability or contributions.
  • Lacks Context: It doesn't consider game situations, defensive strength, drops by receivers, or the difficulty of throws.
  • Treats All Yards Equally: A 5-yard pass on 3rd & 10 is treated the same as a 5-yard pass on 3rd & 4, despite vastly different strategic implications.

Other Quarterback Metrics

Due to these limitations, other metrics have emerged to try and provide a more holistic view of quarterback performance:

  • ESPN's Total Quarterback Rating (QBR): This metric attempts to account for game situations, expected points added (EPA), and other factors like sacks, scrambles, and fumbles. It's a proprietary formula, making it more complex to understand and replicate.
  • Expected Points Added (EPA): A more advanced statistical approach that assigns a value to each play based on its impact on scoring probability.

Conclusion

The NFL Passer Rating remains a cornerstone statistic for evaluating quarterback performance, offering a quick and relatively accurate snapshot of efficiency. By understanding its four core components – completions, yards, touchdowns, and interceptions – and how they are weighed, fans can gain a deeper insight into what makes a quarterback statistically successful. While newer, more complex metrics exist, the traditional passer rating continues to be a valuable tool for assessing a quarterback's impact on the passing game.