Final MinV Ranking for the 2004 Season
At right are the rankings of all NCAA
Division 1-A college football teams thru the games of January
4, 2005 (i.e., through the end of the 2004 season and all
bowl games)
using MinV, a model developed by
Jay Coleman of the
University of North Florida. MinV generates a
ranking that minimizes the number of game score violations --
that is, the number of times a game's winner is ranked behind
the team it defeated. In other words, MinV guarantees
the ranking with the best retrodictive accuracy.
The ranking at right results in only
54 violations out of 651
Division 1-A games, or a minimum violation percentage of
8.29%.
A minimum violations ranking has never before been presented
for college football (due in part to the extreme computational
difficulty involved for a problem with 117 teams). However, there are literally
trillions of different rankings at any given point in time that
would yield the same minimum number of violations; the ranking
shown
is only one of those.
The academic article describing
MinV and its application to the 1994 through 2004 college
football seasons has recently been accepted for publication in
Interfaces,
a journal of the Institute for Operations Research and the
Management Sciences (INFORMS).
The MinV ranking for the
current college football season can be found
here.
The final MinV pre-NCAA
Tournament ranking for
college basketball in 2005 can be found
here.
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About the Author
Jay Coleman is the
Richard deRaismes Kip Professor of Operations Management &
Quantitative Methods in the Coggin College of Business at the
University of North Florida.
His research with Allen Lynch (of Mercer University) on modeling
the decisions of the NCAA Tournament Selection Committee, first
published in the journal
Interfaces,
has been featured by the Wall Street Journal,
Forbes, Investor's Business Daily, the New York
Times, the Associated Press, UPI, and USA Today, as well as
over 50 other major media outlets, including CNN Headline News, the
Sporting News, and CBS SportsLine. More information
about the NCAA Tournament model can be found at
DanceCard.unf.edu. His
research with Ken Jennings and Frank McLaughlin on final offer
arbitration in professional baseball has been published in
Cal-Berkeley's
Industrial Relations journal.
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Acknowledgements
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The author is
very grateful to
Peter Wolfe for his invaluable service of providing the
game scores used in developing the current ranking.
Special thanks also go to
Kenneth Massey
and
James Howell for providing the game scores from past seasons
that were used to develop and test the MinV model.
Kenneth Massey
deserves tremendous thanks for
compiling and
comparing the many different college football ranking
systems on the web, and for including the MinV ranking on his
site. Thanks also to
Eugene Potemkin for including the MinV ranking in his
rank of rating
systems for college football, in which the MinV ranking
consistently places very highly according to his fairness
assessment.
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Please forward all comments to jcoleman@unf.edu Jay Coleman's Home
Page This page last updated on
October 3, 2005 at 4:10 p.m.
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Southern Cal |
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2 |
Auburn |
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3 |
Virginia Tech |
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4 |
Miami FL |
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5 |
Tennessee |
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6 |
Oklahoma |
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7 |
Utah |
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8 |
Texas |
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9 |
Texas A&M |
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10 |
Texas Tech |
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11 |
California |
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12 |
Arizona St |
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13 |
Michigan |
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14 |
Georgia |
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15 |
Iowa |
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16 |
Wisconsin |
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17 |
Minnesota |
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18 |
Northwestern |
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19 |
Purdue |
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20 |
Ohio State |
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21 |
Louisville |
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22 |
Oklahoma St |
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23 |
Boise St |
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24 |
LSU |
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25 |
Colorado |
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26 |
Florida |
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27 |
UTEP |
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28 |
Florida St |
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29 |
Fresno St |
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30 |
Virginia |
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31 |
Boston College |
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32 |
North Carolina |
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33 |
Penn St |
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34 |
Georgia Tech |
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35 |
West Virginia |
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36 |
Clemson |
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37 |
Iowa St |
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38 |
Syracuse |
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39 |
North Carolina St |
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40 |
Connecticut |
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41 |
Kansas |
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42 |
Maryland |
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43 |
Toledo |
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44 |
Kansas St |
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45 |
South Carolina |
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46 |
Northern Illinois |
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47 |
Wake Forest |
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48 |
Bowling Green |
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49 |
Arkansas |
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50 |
Cincinnati |
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51 |
Troy St |
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52 |
Alabama |
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53 |
Memphis |
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54 |
Marshall |
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55 |
Southern Miss |
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56 |
Nebraska |
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57 |
Oregon St |
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58 |
Pittsburgh |
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59 |
Notre Dame |
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60 |
South Florida |
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61 |
East Carolina |
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62 |
Hawai`i |
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63 |
Tulane |
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64 |
Alabama-Birmingham |
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65 |
Missouri |
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66 |
TCU |
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67 |
Baylor |
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68 |
North Texas |
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69 |
Navy |
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70 |
Miami OH |
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71 |
Middle Tenn St |
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72 |
Rutgers |
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73 |
Akron |
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74 |
Kent St |
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75 |
Temple |
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76 |
UCLA |
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77 |
Michigan St |
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78 |
Ohio U. |
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79 |
Illinois |
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80 |
Kentucky |
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81 |
Indiana |
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82 |
Oregon |
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83 |
Stanford |
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84 |
Washington St |
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85 |
New Mexico |
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86 |
Arizona |
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87 |
Brigham Young |
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88 |
Colorado St |
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89 |
Wyoming |
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90 |
Mississippi |
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91 |
San Diego St |
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92 |
Arkansas St |
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93 |
UL-Monroe |
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94 |
Louisiana Tech |
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95 |
Air Force |
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96 |
Utah St |
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97 |
UNLV |
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98 |
SMU |
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99 |
Nevada |
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100 |
Idaho |
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101 |
Tulsa |
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102 |
Washington |
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103 |
Eastern Michigan |
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104 |
San José St |
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105 |
Buffalo |
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106 |
Rice |
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107 |
Central Michigan |
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108 |
New Mexico St |
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109 |
Houston |
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110 |
Vanderbilt |
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111 |
Ball St |
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112 |
Mississippi St |
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113 |
Duke |
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114 |
UL-Lafayette |
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115 |
Army |
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Western Michigan |
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Central Florida |
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