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Archive for March, 2011

The Unlikeliest Final Four

28th March 2011

Just how unlikely is this year’s Final Four of Kentucky, UConn, Virginia Commonwealth, and Butler?

Well, going by one measure, the odds of it happening were¬†0.00003% — only two entries (out 5.9 million) correctly picked the four teams in ESPN.com’s Bracket Challenge. But I decided to see how this year’s improbable group matched up against other inexplicable Final Fours since the tournament expanded to 64 teams in 1985. Here were the Final Fours with the highest average seed # since then:

Year Team A Seed Team B Seed Team C Seed Team D Seed Avg #1s
2011 KEN 4 CONN 3 VCU 11 BUTL 8 6.50 0
2000 UNC 8 FLA 5 WISC 8 MICS 1 5.50 1
2006 GEOM 11 FLA 3 LSU 4 UCLA 2 5.00 0
1986 KAN 1 DUKE 1 LSU 11 LOU 2 3.75 2
1992 IND 2 DUKE 1 MICH 6 CIN 4 3.25 1
2010 MICS 5 BUTL 5 WVIR 2 DUKE 1 3.25 1
1985 STJO 1 GTWN 1 VILL 8 MEM 2 3.00 2
1990 ARKA 4 DUKE 3 GEOT 4 UNLV 1 3.00 1
1996 MIST 5 SYRA 4 UMAS 1 KEN 1 2.75 2
2005 LOU 4 ILL 1 MICS 5 UNC 1 2.75 2

Aside from 2011, two other years stand out at the top of the list: 2000, when two 8-seeds crashed the Final Four, and 2006, when no #1 seeds made it (but George Mason did). In terms of pre-tournament likelihood, how do those years stack up to 2011?

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Posted in History, NCAA Tournament, Statgeekery | 8 Comments »

Which Coaches’ Teams Underperform Their Seeds?

21st March 2011

Watching Texas and Pitt destroy my bracket for what seems like the fifth or sixth time in the last 10 years, I was compelled to ask: is it just perception, or do Rick Barnes’ and Jamie Dixon’s teams always significantly underachieve in the NCAA Tournament?

Luckily, I can answer that question two ways. The first is to look at every NCAA Tourney game since the field expanded to 64 teams in 1985, and measure the probability of any team winning any game based on the seeds of the two teams involved. The logistic regression formula, based on 1,686 games (including Sunday’s results), is this:

Expected W% ~ =1 / (1 + EXP(0.1738176 * Seed Diff))

Where Seed Diff is simply the team’s seed # minus the opponent’s seed #. For instance, when a 4-seed plays a 5-seed, as Texas did Sunday, their seed difference is (4 – 5) = -1, which yields an expected win % of 54.3%. And when a 1-seed (like Pitt) plays an 8-seed (like Butler), the seed difference is -7, giving an expected W% of 77.1%.

Anyway, add all up of these expected wins for every coach’s NCAA career, compare to his actual wins, and you can see which coaches have disappointed the most over their post-1985 careers:

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Posted in History, NCAA Tournament, Statgeekery | 22 Comments »

2011 NCAA Tournament Game Previews

15th March 2011

To get you prepared for the matchups in this year’s NCAA Tournament, we now have printable game previews at SR/College Basketball:

Game Previews | College Basketball at Sports-Reference.com

Each preview contains key information about both teams, including SRS ratings; offensive and defensive ratings; and player statistics from the 2010-11 season. Check them out, and increase your knowledge when watching the games this month!

Posted in Announcements, NCAA Tournament | 3 Comments »