Category Archives: NCAA
NCAA Basketball Tournament Classification Tree: In Review
My first round entry in the Stat Geek Idol contest was about using decision trees to predict teams that would make it to the Sweet Sixteen. Now that we are down to sixteen teams remaining in the tournament, let’s review how the model performed.
Let’s start out with what I consider to be the most impressive results. In the article, I stated, in the conclusion:
So the moral of the story is don’t get too excited about Florida State (even though they just won the ACC) or Michigan, and if you’re looking to pick an impressive upset, just about any of the fourteen seeds will do.
The second half of this sentence makes me look bad as I singled out the only seed other than 16 not to win a first round game. But I don’t think I was the only one to make this mistake. Plenty of people were really excited about Belmont. Alternatively, in the first half of the sentence I chose Florida State and Michigan as teams to not make it to the Sweet Sixteen based on the model results. Now, by itself, it’s not too impressive to pick a team to NOT make it to the Sweet Sixteen (just pick a 16 seed every year), but these were two teams that, if they only beat lower seeded teams were expected to make it to the Sweet Sixteen. Michigan lost in the Round of 64 and Florida State lost in the Round of 32 (after barely escaping the first round). This means that in the last six years no team with an overall RPI rating between 0.6169 and 0.643 with an opponent’s effective possession ratio greater than or equal to 0.9147 and an average second half scoring margin of less than 2.998 has ever made it to the Sweet Sixteen. These teams are 0 for 11. That’s kind of interesting.
Large RPI teams
In the article I said:
So what about this year teams? There are 6 teams in the tournament this year that fall into group R1. These teams are Kentucky (1), Michigan State (1), North Carolina (1), Syracuse (1), Kansas (2), and Duke (2). These are the high Overall RPI teams that almost always advance to the Sweet Sixteen.
Group R2 only contains one team this year, Ohio State (2). Recall that in the last five years, all nine of the teams from group R2 have advanced to the Sweet Sixteen.
Group R3, which has advanced 51.61% of the time over the past five years includes eight teams this year: Missouri (2), Marquette (3), Baylor (3), Georgetown (3), Louisville (4) [In the original article, I wrote eight teams and then only listed seven], Indiana (4), and Wichita State (5) and Memphis (8).
Group R4 consists of Florida State (3) and Michigan (4). No team from group R4 has advanced to the Sweet Sixteen in the last five years. We’ll see if either the Seminoles or the Wolverines can snap the losing streak for R4.
- Group R1 advanced 5 out of 6 (83.33%) teams this year with only Duke failing to make the Sweet Sixteen. Historically (previous five years), 91.17% of teams in this group advance to the Sweet Sixteen.
- Group R2 contained one team this year, Ohio State, and they did, in fact, advance to the Sweet Sixteen. Ohio State is now the tenth team to fall into this category over the last six years and all ten of these teams have qualified for the Sweet Sixteen.
- Group R3 had eight teams in it this year and historically 51.61% of teams in this group qualify for the Sweet Sixteen. This year 4 out of the 8 (50%) qualified. Marquette, Baylor, Louisville, and Indiana advanced while Missouri, Georgetown, Wichita State, and Memphis have been eliminated.
- Group R4, as previously mentioned, contained two teams this year and both failed to qualify for the Sweet Sixteen. In the last six years, no team from this group has ever made it to the Sweet Sixteen
Small RPI teams
In the article I said:
So what about the small RPI teams this year? The tournament this year features nine teams in the group L2. These teams include St. Mary’s (7), Florida (7), Notre Dame (7), Creighton (8), Purdue (10), California (12), South Dakota State (14), Belmont (14), and Iona (14).
The L3 group contains one team this year: BYU (14). 8 out of 12 teams in this group over the past five years have gone on to the Sweet Sixteen, however, BYU to the Sweet Sixteen this year seems unlikely as they are a 14 seed and have to win a play-in game just to get into the round of 64. I think it’s interesting that all these fourteen seeds fall into these categories with relatively high probabilities of advancing to the Sweet Sixteen.
All of the remaining teams fall into the L1 category, which has advanced a little over 5% of its teams to the Sweet Sixteen. Some of the notable teams that fall into this group include Wisconsin (4), New Mexico (5), Temple (5), Vanderbilt (5), Murray State (5), Cincinnati (6), UNLV (6), and San Diego State (6). Also, in this group are Gonzaga (7), Kansas State (8), Iowa State (8), Alabama (9), Saint Louis (9), UConn (9), and Southern Mississippi (9).
- Group L1 had 39 teams fall into this category (after the First Four had been played). Historically, 5.34% of these teams make it to the Sweet Sixteen. This year 5 out of 39 (12.82%) qualified. This is a little bit higher than usual and is reflected in just how crazy this tournament has been over the first two rounds. The teams that qualified from for the Sweet Sixteen from this group were Wisconsin, Cincinnati, Xavier, NC State, and Ohio.
- Group L2 had nine teams this year and historically 17.86% of these teams qualify for the Sweet Sixteen. Only one of these nine teams (11.11%), Florida, qualified for the Sweet Sixteen. Interestingly, two of these nine teams were knocked out in the First Four.
- Group L3 contained only one team, BYU. 8 of the 12 previous teams in the group qualified for the Sweet Sixteen, but with BYU’s loss, this group falls to 8 for 13 (61.5%)
March Madness through the Sweet Sixteen: Second craziest since 1990
The first round of this NCAA tournament was the craziest dating back to 1990, and through two round (I don’t acknowledge the First Four as a round) this is the second craziest tournament over the same time period behind only 1996. 1996 featured a 12 seed in the sweet sixteen as well as a 1 seed knocked out in the round of 32. 2012 might be crazy, but all four number 1 seeds are still around.
Note: Projected madness is based on higher seeds winning all remaining games.
Oh Yahoo Sports, they entertain me so…
An email from a friend of mine:
…they have a new “sliding scale” thing for their polls. One question was: “How many of the double digits seeds that won (on Thurs/Friday) will make the Sweet 16?” On one end of the scale was “none” on the other “5 or more”. Seems straightforward enough. Their sliding scale had 10 total partitions, the middle 8 all unlabeled. This is why people don’t trust “statisticians”…..
Here (Scroll to the end of the article) is a link to an example of one of these “polls”.
Measuring The Madness: 2012 Tournament Off To Craziest Start Ever
2012 Cinderella Plot
2012 NCAA Basketball Tournament Preview
Alright. It’s noon on Thursday. You’ve still got 40 minutes until the games start. Here are some of my final thoughts before the tournament starts.
Generally, I think the tournament committee did a great job seeding these teams this year. Unfortunately, that also means that we’re probably not going to see anything too crazy like a 8 vs 11 in the Final Four. Of course, I’m always wrong about these things.
Best 4 teams to not make the tournament
Oral Roberts: Beat Xavier by 22 points
Northwestern: Still never made an NCAA tournament, which is, honestly, quite impressive in its own right.
Mississippi State: Top 15 in the AP poll on Jan 2, and they miss the NCAA tournament. Season ended Tuesday with a loss to UMass in the first round of the NIT.
Seton Hall: 8-10 in conference is only good enough if you are the defending national champs.
Bottom 4 At-large bids
Iona: Drexel got screwed
Xavier: They are either a top ten team or outside the top 50
South Florida: 2-9 vs the top 50. Not good. (But better than Cal, apparently.)
West Virginia: 9-9 in the Big East is not impressive. (Although UConn was 9-9 last year and we know what happened there.) 4-8 against the top 50 this year.
Best of each seed
Best 1 seed: Kentucky
Best 2 seed: Ohio State
Best 3 seed: Marquette
Best 4 seed: Indiana
Best 5 seed: Wichita State
Best 6 seed: Murray State
Best 7 seed: St. Mary’s
Best 8 seed: Creighton
Best 9 seed: Alabama
Best 10 seed: Purdue
Best 11 seed: Colorado State
Best 12 seed: VCU
Best 13 seed: Ohio
Best 14 seed: BYU
Best 15 seed: Lehigh
Worst of each seed
Worst 1 seed: North Carolina
Worst 2 seed: Kansas
Worst 3 seed: Florida State
Worst 4 seed: Michigan
Worst 5 seed: Temple
Worst 6 seed: UNLV
Worst 7 seed: Notre Dame
Worst 8 seed: Kansas State
Worst 9 seed: UConn
Worst 10 seed: Xavier
Worst 11 seed: Colorado
Worst 12 seed: Long Beach State
Worst 13 seed: New Mexico State
Worst 14 seed: St. Bonaventure
Worst 15 seed: Loyola Maryland
Best first round games
UConn (9) vs Iowa State (8)
Notre Dame (7) vs Xavier (10)
Memphis (8) vs St. Louis (9)
Florida (7) vs Virginia (10)
Southern Miss (9) vs Kansas State (8)
Temple (5) vs South Florida (12)
St. Mary’s (7) vs Purdue (10)
Best Projected Second Round Games
Indiana (4) vs Wichita State (5): Everyone loves a mid-major team
Florida State (3) vs Cincinnati (6): ACC Tournament Champ vs Big East Tournament Runner-up
Louisville (4) vs New Mexico (5): Big East Tournament Champion vs Mountain West Tournament Champion. No one seems to be talking about either of these teams. Louisvlle just won 4 games in a row (Seton Hall, Marquette (3), Notre Dame (7), and Cincinnati (6), the last three on the road) to win the Big East tournament. New Mexico just won three in a row (Air Force, UNLV (6), and San Diego State (6), the last two on the road) to win the Mountain West tournament.
Most likely lower seed wins by seed
9 seed: Southern Miss over Kansas State
10 seed: Virginia over Florida
11 seed: Texas over Cincinnati
12 seed: Harvard over Vanderbilt
13 seed: Ohio over Michigan
14 seed: BYU overt Marquette
15 seed: Detroit over Kansas
16 seed: Vermont over North Carolina
The 14 seeds
I think we’re gonna see AT LEAST one 14 seed win a game in the first round this year. A lot of people are really excited about Belmont (Sagarin has them ranked 33!), but I think BYU is the most exciting 14 seed. South Dakota State and Saint Bonaventure are no joke either. Sagarin has Belmont ranked ahead of Cincinnati (6), Temple (5), St. Mary’s (7), UConn (9). In the same ratings, Belmont AND BYU are ranked ahead of West Virginia (10), Harvard (12), Notre Dame (7), Murray State (6), NC State (11), San Diego State (6), VCU (12), Xavier (10), Iona (14), Southern Miss (9), and South Florida (12). Sagarin would have Belmont at 9 and BYU at 10; I would put BYU at 11 and Belmont at 13.
My Final Four picks
Kentucky (1), Ohio State (2), Michigan State (1), North Carolina (1). I know these are boring picks, but that’s the way the brackets line up. Sorry.
I have Kentucky playing Ohio State in the finals with Kentucky ultimately winning the tournament. Following the tournament the championship will then have to be vacated because Calipari is the coach and the only thing he loves more than winning is vacating Final Fours.
Good luck to all the teams.
EigenBracket 2012: Using Graph Theory to Predict NCAA March Madness Basketball
An interesting post from BioPhysEngr Blog:
EigenBracket 2012: Using Graph Theory to Predict NCAA March Madness Basketball
Predicting the Sweet 16 using a classification tree
Cinderella Plots: 2001-2011
Full blog post over at TeamRankings.com. Cheers.