Do strength of defenses from prior years have any correlation to the strength of the defense in the current year?
Correlation Coefficient of the raw defensive strength ratings from Year X to the raw defensive strength ratings in Year X+1:
03-04 0.26304-05 0.29905-06 0.102Avg. 0.222Correlation Coefficient of the
adjusted defensive strength ratings from Year X to the
raw defensive strength ratings in Year X+1:
Code:
03-04 0.27104-05 0.39105-06 0.099Avg. 0.254
The 2004-2005 CC increased quite a bit when adjusting for strength of schedule in 2004. This suggests that there were several teams in 2004 that played extremely tough (or easy) schedules, that skewed the results enough that you'd make an inaccurate prediction the following year based on those results. This is exactly what happened.Twenty teams over the four years had strength of schedule ratings of more extreme than +/- 1.00. What that basically means is twenty teams played a whole lot of great or terrible QBs due to random chance. Fourteen of those tough (or easy) seasons occurred in 2004. The '04 Bengals are the best example, with a SOS of -1.90, meaning they had an incredibly easy schedule.
4.49 Billy Volek 1.90 Jake Plummer 1.41 Tom Brady-0.35 Chad Pennington-0.52 Jeff Garcia-0.96 Ben Roethlisberger-0.96 Ben Roethlisberger-1.99 Vinny Testaverde-2.33 A.J. Feeley-2.88 Drew Bledsoe-4.44 Patrick Ramsey (79%)-4.96 Kyle Boller-4.96 Kyle Boller-5.74 Mark Brunell (21%)-6.12 Eli Manning-22.93 TotalThat, of course, is an incredibly easy schedule -- and it doesn't even show two full games out of Kelly Holcomb, Koy Detmer and Jeff Blake, which drops the schedule's strength to -30.34. In other words, the '04 Bengals faced QBs on average that scored 1.90 fewer points per game than league average (which is how we got the -1.90 number originally). The '04 Bengals ranked 13th in YPA allowed, but as we've seen, it's because Cincinnati faced a ton of terrible QBs. In 2005, Cincinnati faced an easier than average schedule (-0.79) but it was still a lot harder than the previous year; Cincinnati subsequently dropped to 28th in YPA allowed in '05.Correlation Coefficient of the
adjusted defensive strength ratings from Year X to the
adjusted defensive strength ratings in Year X+1:
03-04 0.23704-05 0.35505-06 0.135Avg. 0.243 I'm not so sure why these numbers aren't stronger than the adjusted to raw numbers. I suspect they
should be, so I'd probably side towards the theory that the sample size here is too small to show the true results.
Overall, I'd guess that the correlation coefficient is somewhere between 0.25 and 0.30 from year to year. This roughly means that between six and nine percent of the Year X+1 results can be "explained" by the Year X results.