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On Friday, I explained the idea behind Playoff Leverage. That post is required reading before diving in today, but the summary is that the Super Bowl counts for more than the conference championship games, which count for more than the division round games, which count for more than the wild card games. The value that is assigned to each game — the Super Bowl is currently worth 3.14 times as much as the average playoff game — is then used to adjust the stats of the players in those games.

For quarterbacks, the main stat used to measure passing performance is Adjusted Net Yards per Attempt. In case you forgot, ANY/A is defined as

[math]Pass Yards + 20*PassTDs – 45*INTs – SackYards)/(Attempts + Sacks)[/math]

Today, we’re going to look at every quarterback since 1966. Players like Bart Starr and Johnny Unitas who played before 1966 will count, but their stats from 1965 and earlier will not be included. This obviously is a serious disservice to Starr in particular, but for now, I’m going to only focus on the Super Bowl era. [continue reading…]

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Even for Football Perspective, this is a very math-heavy post. I’ve explained all the dirty work and fine details behind this system, but if you want to skip to the results section, I’ll understand. Heck, it might even make more sense to start there and then work your way back to the top.

Background

In 2012, Neil Paine wrote a fascinating article on championship leverage in the NBA, building on Tom Tango’s work on the same topic in Major League Baseball. Championship Leverage was borne out of the desire to quantify the relative importance of any particular playoff game. Truth be told, this philosophy has more practical application in sports where each playoff round consists of a series of games. But Neil applied this system to the NFL playoffs and crunched all the data for every playoff game since 1965. Then he was kind enough to send it my way, and I thought this data would make for a good post.

The best way to explain Championship Leverage is through an example. For purposes of this exercise, we assume that every game is a 50/50 proposition. At the start of the playoffs, the four teams playing on Wild Card weekend all have a 1-in-16 chance of winning the Super Bowl (assuming a 50% chance of winning each of four games). This means after the regular season ended, the Colts had a 6.25% chance of winning the Super Bowl. After beating Kansas City, Indianapolis’ win probability doubled to 12.5%. Win or lose, the Colts’ Super Bowl probability was going to move by 6.25%, a number known as the Expected Delta.

New England, by virtue of a first round bye, began the playoffs with a 12.5% chance of winning the Lombardi. With a win over Indianapolis, the Patriots’ probability of winning the Super Bowl jumped 12.5% to 25%; had New England lost, the odds would have moved from 12.5% to zero. Therefore, the Expected Delta in a Division round game is 12.5%. [continue reading…]

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