Welcome back to the board, HoustonMatt; I've missed your incisive, fact-based analyses.
This concept of Pythagorean wins is interesting. How is the factor derived? Empirically?
A couple of comments. First, the "16 of the last 20 Super Bowls" statistic dates to 2005. I wonder how well it's held up in the subsequent few Super Bowls? Second, I note that of the 6 teams who gave up fewer points than the Packers, none of them scored as many points as the Packers; Green Bay actually scored the third most points in the league this year. Fourth, this quote (from the 2005 article) is rather mind boggling:
Green Bay's winning percent is 55.2% - based on the number of points they've scored and allowed. (201^2.37 / (201^2.37 + 184^2.37)). They should win more than half the games they play. Yet at week 10 in the season, the Packers are 2-7. New England has a winning percentage of 41.2% - they should be a sub-.500 team, yet they're currently leading the AFC East at 5-4.
"Nonstopdrivel" wrote:
To be honest, Im not sure exactly how the formula for football (PF^2.37/PF^2.37 + PA^2.37) was derived, but I assume it was done in the same way as Bill James created the original formula for baseball. Its simply a matter of trial and error. All he did was use runs scored and runs allowed and tinkered with the exponent. With each different exponent, he simply went back through baseball history and tested it. Eventually he found one (1.82) that accurately predicted a teams record. For the outliers who were more than a standard deviation away from their expected win-loss total, you can take it one step further and look at the following season. If your formula is worth a damn, a team that underperformed its expected victory total should improve the following year (as did the Packers from 08 to 09) and vice versa (see this years Miami Dolphins and Carolina Panthers).
As for the Super Bowl winners from 06 to current, I calculated their Pythag wins to see if the pattern held steady. This is incomplete as I didnt do the whole league to see if the Super Bowl winner led the league in Pythag wins, but it should give us some idea.
09 Pittsburgh 11.84 Pythag Wins
08 NY Giants 8.57 Pythag Wins
07 Indianapolis 9.59 Pythag Wins
06 Pittsburgh 11.61 Pythag Wins
Without knowing the other teams Pythag wins, Id assume Pittsburgh in 06 and 09 were among the top 3 at least. The Giants in 08 were predictably an outlier, though NE finished the season a remarkable +315 in point differential, so only a David Tyree catch prevented the Pythag Wins leader from winning the Super Bowl that year. In 07, Id estimate Indy was in the 5-6 range for Pythag Win total, but their opponent, the Bears, look to be either one or two (Baltimore had a very strong Pythag win total that year as well).
So did the pattern hold? Well, kind of.