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Is simplest procedure quite well for consensus?Procedure of reception of the coordinated result of various systems, used in BCS and Kenneth Massey in his compilation is simple and it seems natural. However its detailed consideration results in some logic contradictions. About it has very in detail written Äæ Äæ in the the remarkable analysis. Let's look at this procedure about some other point of view. The matter is that calculation of average ranks is that other as calculation of "defeats" of teams if to imagine a matrix in which all higher is appropriated a victory above all subordinate
L W The rank of a team is that other as number of defeats plus 1, that from the point of view of calculation of an average rating of nothing changes. Matrix representation of ranking however opens a way to more adequate definition of the coordinated representation of different computer ranking. For this purpose it is logical to use any of systems of calculation of ratings. Well it is valid, if using ratings we leave from a simple rating - calculation of victories (calculation of glasses a 2-victory, 1-drawn game 0 - defeat). That is strange, that at summarizing various computer programs we use the most elementary rating. It all the same what to use a computer as a table on which with the help of the calculator to make calculator Naturally I used e-rating to make consensus from Kenneth compilation. 29 November
2003 E-Rnk Massey Diff GP W L 1 Oklahoma 1 0 12 12 0 2 USC 2 0 11 10 1 3 Michigan 4 1 12 10 2 4 LSU 3 -1 12 11 1 5 Miami FL 9 4 12 10 2 6 Georgia 7 1 12 10 2 7 Ohio St 8 1 12 10 2 8 Florida St 5 -3 12 10 2 9 Miami OH 10 1 12 11 1 10 Tennessee 11 1 12 10 2 11 Texas 6 -5 12 10 2 12 Iowa 12 0 12 9 3 13 Florida 15 2 12 8 4 14 Purdue 14 0 12 9 3 15 Kansas St 13 -2 13 10 3 16 Boise St 16 0 12 11 1 17 Arkansas 24 7 12 8 4 18 Mississippi 20 2 12 9 3 19 Minnesota 25 6 12 9 3 20 Maryland 19 -1 12 9 3 21 Michigan St 28 7 12 8 4 22 Washington St 17 -5 12 9 3 23 Nebraska 18 -5 12 9 3 24 Utah 21 -3 11 9 2 25 Oklahoma St 23 -2 12 9 3 26 Clemson 27 1 12 8 4 27 Pittsburgh 34 7 12 8 4 28 Missouri 37 9 12 8 4 29 Virginia Tech 32 3 12 8 4 30 NC State 36 6 12 7 5 31 Auburn 33 2 12 7 5 32 Bowling Green 22 -10 12 10 2 33 Texas Tech 35 2 12 7 5 34 Wisconsin 38 4 12 7 5 35 New Mexico 40 5 12 8 4 36 West Virginia 29 -7 12 8 4 37 Oregon St 43 6 11 7 4 38 California 39 1 13 7 6 39 Oregon 30 -9 12 8 4 40 Virginia 41 1 12 7 5 41 Southern Miss 31 -10 12 9 3 42 Colorado St 44 2 12 7 5 43 Boston Colleg 47 4 12 7 5 44 Connecticut 46 2 12 9 3 45 Georgia Tech 50 5 12 6 6 46 TCU 26 -20 12 11 1 47 Notre Dame 45 -2 11 5 6 48 N Illinois 42 -6 12 10 2 49 Toledo 53 4 12 8 4 50 Colorado 57 7 12 5 7 51 South Carolin 59 8 12 5 7 52 Northwestern 55 3 12 6 6 53 Marshall 49 -4 12 8 4 54 UCLA 56 2 12 6 6 55 Washington 58 3 12 6 6 56 Louisville 48 -8 12 9 3 57 Memphis 51 -6 12 8 4 58 Air Force 54 -4 12 7 5 59 UNLV 62 3 12 6 6 60 Syracuse 68 8 11 5 6 61 Alabama 61 0 13 4 9 62 North Texas 52 -10 12 9 3 63 Navy 65 2 11 7 4 64 Hawaii 63 -1 12 8 4 65 Fresno St 60 -5 13 8 5 66 Tulsa 64 -2 12 8 4 67 San Diego St 69 2 12 6 6 68 Arizona St 72 4 12 5 7 69 Wake Forest 66 -3 12 5 7 70 Kansas 67 -3 12 6 6 71 Rutgers 74 3 12 5 7 72 South Florida 70 -2 11 7 4 73 Stanford 76 3 11 4 7 74 Brigham Young 75 1 12 4 8 75 Houston 71 -4 12 7 5 76 Texas A&M 73 -3 12 4 8 77 Wyoming 83 6 12 4 8 78 Penn St 78 0 12 3 9 79 Akron 81 2 12 7 5 80 UAB 80 0 12 5 7 81 Cincinnati 82 1 12 5 7 82 W Michigan 87 5 12 5 7 83 Louisiana Tec 79 -4 12 5 7 84 Duke 84 0 12 4 8 85 Tulane 88 3 12 5 7 86 Kentucky 86 0 12 4 8 87 Troy St 85 -2 12 6 6 88 Kent 90 2 12 5 7 89 Rice 89 0 12 5 7 90 Nevada 77 -13 12 6 6 91 Arizona 91 0 12 2 10 92 North Carolin 93 1 12 2 10 93 Vanderbilt 94 1 12 2 10 94 Ball St 92 -2 12 4 8 95 Middle Tenn S 95 0 12 4 8 96 Mississippi S 98 2 12 2 10 97 Iowa St 96 -1 12 2 10 98 Baylor 97 -1 12 3 9 99 LA Lafayette 99 0 12 4 8 100San Jose St 101 1 11 3 8 101Utah St 100 -1 12 3 9 102Indiana 102 0 12 2 10 103Temple 104 1 12 1 11 104Illinois 103 -1 12 1 11 105E Michigan 107 2 12 3 9 106C Michigan 110 4 12 3 9 107New Mexico St 108 1 12 3 9 108Idaho 106 -2 12 3 9 109UCF 109 0 12 3 9 110Arkansas St 105 -5 12 5 7 111Ohio 111 0 12 2 10 112East Carolina 112 0 12 1 11 113Buffalo 113 0 12 1 11 114Texas-El Paso 114 0 13 2 11 115LA Monroe 115 0 12 1 11 116Army 116 0 12 0 12 117SMU 117 0 12 0 12 |
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