This analysis will be similar to the one I did with rushing yards. Once again the idea is to adjust each quarterback's passing numbers based on his strength of schedule. Hopefully these results are a little more interesting now that teams have played less of a round-robin style schedule.
This time the data sets were comprised of each QB's week-by-week performance (in yards, touchdowns, and interceptions) and each QB's season long performance (in the same three categories) through week 11. I'm going to go through the methodology again just to be thorough.
The first thing that needs to be done is use the week-by-week data set to get two numbers: each defense's average yards, touchdowns, and interceptions allowed per game and the average across all defenses for the same three numbers. By dividing a team's average performance by the league's average, we generate what is basically a multiplier. Using an example, the Outlaws allow 318.54 yards per game as a defense and the NSFL average is 314.92 yards per game. Dividing those two numbers in the manner described above produces 1.01. How can we interpret that number? In week 12 the Liberty are facing the Outlaws. Clifford Rove is averaging 314 passing yards per game through week 11. So in his week 12 match-up, we would expect Rove to pass for 1.01x his average weekly total because that is what Arizona has allowed relative to the NSFL average this season. So now we simply calculate that multiplier for each team's passing yardage, touchdowns, and interceptions. Here is the complete table.
![[Image: NIXDEy9.png]](https://i.imgur.com/NIXDEy9.png)
Now we want to apply these numbers to get a sense of how each player's performance is affected by his strength of schedule. In the previous example I said we could expect Rove's passing yardage to increase when facing Arizona. Now imagine he played teams that had positive effects on his yardage each week while a different quarterback was facing teams like the Otters each week. If Rove had the higher yardage total it is probably not be representative of his skill level compared to the hypothetical quarterback. So how do we adjust to compare those players on an even field? We divide each quarterback's season total in a given statistic by the average of his schedule's "factor" numbers for that same statistic in the table above. This will scale each player's season total up or down based on how difficult their schedule has been. Let's once again use Rove as an example. This year he has passed for 3459 yards on against a schedule with an average yardage factor of 1.0205, meaning his schedule has been ever so slightly soft. To scale that number we just divide 3459 by 1.0205 to get an adjusted passing yardage total of 3389. Here is the full table of adjusted passing statistics. For reference, the column next to each stat labeled "Res." is equal to the difference between that player's adjusted total and his actual total. To put that simply it represents that yards/touchdowns/interceptions that are gained/lost by adjusting for strength of schedule.
![[Image: KWIrOSB.png]](https://i.imgur.com/KWIrOSB.png)
This time the data sets were comprised of each QB's week-by-week performance (in yards, touchdowns, and interceptions) and each QB's season long performance (in the same three categories) through week 11. I'm going to go through the methodology again just to be thorough.
The first thing that needs to be done is use the week-by-week data set to get two numbers: each defense's average yards, touchdowns, and interceptions allowed per game and the average across all defenses for the same three numbers. By dividing a team's average performance by the league's average, we generate what is basically a multiplier. Using an example, the Outlaws allow 318.54 yards per game as a defense and the NSFL average is 314.92 yards per game. Dividing those two numbers in the manner described above produces 1.01. How can we interpret that number? In week 12 the Liberty are facing the Outlaws. Clifford Rove is averaging 314 passing yards per game through week 11. So in his week 12 match-up, we would expect Rove to pass for 1.01x his average weekly total because that is what Arizona has allowed relative to the NSFL average this season. So now we simply calculate that multiplier for each team's passing yardage, touchdowns, and interceptions. Here is the complete table.
Now we want to apply these numbers to get a sense of how each player's performance is affected by his strength of schedule. In the previous example I said we could expect Rove's passing yardage to increase when facing Arizona. Now imagine he played teams that had positive effects on his yardage each week while a different quarterback was facing teams like the Otters each week. If Rove had the higher yardage total it is probably not be representative of his skill level compared to the hypothetical quarterback. So how do we adjust to compare those players on an even field? We divide each quarterback's season total in a given statistic by the average of his schedule's "factor" numbers for that same statistic in the table above. This will scale each player's season total up or down based on how difficult their schedule has been. Let's once again use Rove as an example. This year he has passed for 3459 yards on against a schedule with an average yardage factor of 1.0205, meaning his schedule has been ever so slightly soft. To scale that number we just divide 3459 by 1.0205 to get an adjusted passing yardage total of 3389. Here is the full table of adjusted passing statistics. For reference, the column next to each stat labeled "Res." is equal to the difference between that player's adjusted total and his actual total. To put that simply it represents that yards/touchdowns/interceptions that are gained/lost by adjusting for strength of schedule.
![[Image: rq0K779.png]](https://i.imgur.com/rq0K779.png)
