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Tournament

March 21, 2009

 

            Looking quickly at the NCAA tournament. . ..in the first round, our ranking system would have predicted:

 

Connecticut

+24 over Chattanooga

 

Carolina

+24 over Radford

 

Duke

+20 over Binghamton

 

Louisville

+18  over Morehead

 

Memphis

+17 over Cal State Northridge

 

Pittsburgh

+17 over East Tennessee State

 

Oklahoma

+16 over Morgan State

 

Michigan State

+14 over Robert Morris

 

 

 

 

 

Missouri

+14 over Cornell

 

Gonzaga

+14 over Akron

 

Villanova

+13 over American

 

West Virginia

+12 over Dayton

 

UCLA

+10 over VCU

 

Syracuse

+10 over Little Stevie Austin

 

Purdue

+9 over Northern Iowa

 

Xavier

+9 over Portland State

 

 

 

 

 

Washington

+9 over Mississippi State

 

Illinois

+9 over Western Kentucky

 

Kansas

+8 over North Dakota State

 

Wake Forest

+8 over Cleveland State

 

Brigham Young

+7 over Texas A&M

 

Arizona State

+6 over Temple

 

Clemson

+6 over Michigan

 

Marquette

+4 over Utah State

 

 

 

 

 

California

+4 over Maryland

 

USC

+3 over Boston College

 

 

 

(despite the seedings)

 

Texas

+3 over Minnesota

 

Utah

+2 over Arizona

 

Ohio State

+2 over Sienna

 

Wisconsin

+1 over Florida State

 

 

 

(despite the seedings)

 

Oklahoma State

+0.3 over Tennessee

 

Butler

+0.0 over LSU

 

 

 

(despite the seedings)

 

 

 

 

            Our system would have agreed with “seeding” as to who should win the game for 29 of the 32 matchups.   Although USC was the 10 seed and Boston College the 7, our system thought USC was about three points better (112.2 to 108.8); our system was right about that.   Although Florida State was the 5 seed and Wisconsin the 12 seed, our system thought that Wisconsin was half a point better, which it turned out that they were.   And, although Butler was a 9 seed and LSU the 8 seed, our system thought. ..well, our system had them both at 111.2, but we had Butler higher by some very small fraction.   Which turned out to be incorrect.  

            This is same chart, but we’ve added how the games actually turned out:

 

Connecticut

+24 over Chattanooga

U Conn by 56

Carolina

+24 over Radford

UNC by 43

Duke

+20 over Binghamton

Duke by 24

Louisville

+18  over Morehead

Louisville by 20

Memphis

+17 over Cal State Northridge

Memphis by 11

Pittsburgh

+17 over East Tennessee State

Pittsburgh by 10

Oklahoma

+16 over Morgan State

Oklahoma by 26

Michigan State

+14 over Robert Morris

Michigan State by 15

 

            In this group, then, all of the “better” or higher-ranked teams (by us) did win.   We had expected these 8 teams to win by a total of 150 points; they actually won by a total of 205, with UConn and Carolina providing almost all of the overage.   In the second group:

 

Missouri

+14 over Cornell

Missouri by 19

Gonzaga

+14 over Akron

Gonzaga by 13

Villanova

+13 over American

Villanova by 13

West Virginia

+12 over Dayton

Dayton by 8 (UPSET)

UCLA

+10 over VCU

UCLA by 1

Syracuse

+10 over Stephen F.

Syracuse by 15

Purdue

+9 over Northern Iowa

Purdue by 5

Xavier

+9 over Portland State

Xavier by 18

 

            So in this group the higher seeds went 7-1.  The favored teams were expected to outscore the underdogs by a total of 91 points; they actually outscored the other teams by only 76 (84 in the wins, -8 in the upset.)   In the third group:

 

 

Washington

+9 over Mississippi State

Washington by 13

Illinois

+9 over Western Kentucky

W Kentucky by 4 (UPSET)

Kansas

+8 over North Dakota State

Kansas by 10

Wake Forest

+8 over Cleveland State

Cleveland St by 15 (UPSET)

Brigham Young

+7 over Texas A&M

Texas A&M by 13 (UPSET)

Arizona State

+6 over Temple

ASU by 9

Clemson

+6 over Michigan

Michigan by 3 (UPSET)

Marquette

+4 over Utah State

Marquette by 1

 

            In this group the higher-ranked teams went just 4-4.  They favored teams were expected to outscore the others by 57.   They actually were outscored by 2.  And in the games that were expected to be closest:

 

California

+4 over Maryland

Turtles by 13 (UPSET)

USC

+3 over Boston College

USC by 17

Texas

+3 over Minnesota

Texas by 14

Utah

+2 over Arizona

Arizona by 13 (UPSET)

Ohio State

+2 over Sienna

Sienna by 2 (UPSET)

Wisconsin

+1 over Florida State

Wisconsin by 2

Oklahoma State

+0.3 over Tennessee

Oklahoma State by 2

Butler

+0.0 over LSU

LSU by 4 (Quasi-Upset)

                                      &nbs​p;        

            So in this group, again, our method was 4-4.   The expected winners were expected to outscore the expected victims by 15, but actually outscored them by only 3.

 

            In toto, then, our system was 23-9 at picking the first-round games—not great, not terrible.    Probably about average, but at least we beat the President.   The teams we had expected to win, we had expected to outscore their opponents by a total of 313 points.   They actually outscored them by 282.  

 

            Looking ahead to the second round of games, we would predict:

 

 

Gonzaga over Western Kentucky by 15

 

Memphis over Maryland by 12

 

Tarheels over LSU by 12

 

Kansas over Dayton by 11

 

 

 

 

Connecticut over Texas A & M by 11

 

Louisville over Sienna by 10

 

Pittsburgh over Oklahoma State by 8

 

Oklahoma by Michigan by 7

 

 

 

 

Duke over Texas by 6

 

Arizona over Cleveland State by 4

 

Missouri over Marquette by 4

 

Michigan State over USC by 4

 

 

 

 

UCLA over Villanova by 3

 

 

(despite the seedings)

 

Xavier over Wisconsin by 2

 

Arizona State over Syracuse by 2

 

 

(despite the seedings)

 

Washington over Purdue by 1

 

 
 

COMMENTS (6 Comments, most recent shown first)

Trailbzr
Thanks. I just read the Cinderella article and comments.
1-in-150 sounds like a reasonable scale estimate.
After one does win, though, we'd probably re-evaluate them, instead of saying their chances of winning the title is 1 in (8 billion divided by 150).
9:34 AM Mar 23rd
 
bjames
Yeah, there is an article here (by me) that discusses the chances that a 16 seed will win one game, two games, etc. It estimates that a #16 seed has a 1-in-8-billion chance to win the tournament. The article is called "Cinderella's Math" and was posted here March 24, 2008. If click under "Bill James Articles"/more and scroll down to last March, you can find the article. Thanks.
12:51 AM Mar 23rd
 
bjames
Somewhere I did write an article estimating the chance that a 16 seed should beat a 1 seed. I don't know where it was. . ..it may have been on this site a year ago. As I recall, I estimated that the chance of a 16 beating a 1 was about 1 in 150 or something like that.
12:42 AM Mar 23rd
 
jollydodger
So with over 95% (actually its 100% so far) of 16 seeds losing to 1 seeds, that's 2 standard deviations from the norm. How long before the IDEA of a 16 beating a 1 becomes statistically insignificant and we merely give 1 seeds a bye in the first round? Will we wait until we pass 3 standard deviations (99.7%...and thus requiring 1000 games between 1 and 16), or can we do away with 16 seeds before then?
11:27 PM Mar 21st
 
Trailbzr
BTW, I think (I don't follow this stuff real close) that this is the 25th year of the 64-team format, and in 100 tries there's never been a 16th-seed upset.

Based on your numbers, do you have any idea what the odds on any one game should be?
7:59 PM Mar 21st
 
Trailbzr
Memphis over Maryland by 12 was correct as of 16:01 of the first half.
3:58 PM Mar 21st
 
 
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