A true "Computer Poll" component for the BCS
For the 2004 season, the BCS radically adjusted the BCS formula in an attempt to make the AP poll winner the same as the BCS winner. Whether this was a good idea or not is subject to debate, but the way they went about only shows that they know as little about ranking systems as they do about football and public opinion.
On the surface they changed the formula so that the AP and ESPN/USA today point-totals with respect to total possible points would be used for those components, and "the same" approach would be used to treat the computers as a third "poll." But they made two elementary mistakes.
First, they only took the top 25 from each computer ranking, and used the same 25 points for first, 24 for second... etc tally mechanism that the AP and USA Today use. This means they invented something new, and it is completely different from what the polls use.
The 25, 24, ... point system is appropriate for the polls because none of the voters in those polls can list more than 25 teams. All of the computers rank all 117 teams, so the point assignment for counting those "the same way" should be 117 for first, 116 for second, and so forth.
The second problem is that they decided to delete the best and worst of the computer rankings for each team. This would only make sense if they deleted the best and worst AP-voter's ranking and the best and worst Coach's ranking. Is it the "same kind of poll" if there are special rules to even more minimize the computer rankings?
I'd suggest that if we treat the computers as "voters in a poll" the right way to do it is count their votes exactly the same way that the AP and USA Today/ESPN count theirs - sort by points from all voters rankings and then take the top 25.
Here's the result of such a counting through rankings as of 1 November, 2004 (the maximum number of points is 702):
Rank | Vulue | Team | Conf | A-H | Bil | Col | Mas | Sag | Wlf | Points |
1 | 0.9957 | Southern Cal | P10 | 1 | 2 | 2 | 1 | 1 | 2 | 699 |
1 | 0.9957 | Oklahoma | B12 | 2 | 1 | 1 | 2 | 2 | 1 | 699 |
3 | 0.9829 | Auburn | SEC | 3 | 3 | 3 | 3 | 3 | 3 | 690 |
4 | 0.9615 | Tennessee | SEC | 5 | 4 | 4 | 7 | 8 | 5 | 675 |
5 | 0.9487 | California | P10 | 6 | 13 | 11 | 4 | 4 | 4 | 666 |
5 | 0.9487 | Utah | MW | 4 | 11 | 6 | 5 | 6 | 10 | 666 |
7 | 0.9444 | Boise St | WAC | 11 | 7 | 8 | 8 | 5 | 6 | 663 |
8 | 0.9387 | Arizona St | P10 | 9 | 14 | 5 | 6 | 7 | 8 | 659 |
9 | 0.9373 | Texas | B12 | 10 | 5 | 7 | 10 | 11 | 7 | 658 |
10 | 0.9316 | Miami-Florida | ACC | 8 | 9 | 10 | 9 | 9 | 9 | 654 |
11 | 0.9188 | Wisconsin | B10 | 7 | 10 | 13 | 12 | 10 | 11 | 645 |
12 | 0.9145 | Georgia | SEC | 13 | 8 | 9 | 11 | 13 | 12 | 642 |
13 | 0.8917 | Michigan | B10 | 12 | 6 | 12 | 17 | 22 | 13 | 626 |
14 | 0.8789 | Florida St | ACC | 14 | 18 | 14 | 13 | 14 | 18 | 617 |
15 | 0.8661 | Oklahoma St | B12 | 17 | 15 | 17 | 16 | 18 | 17 | 608 |
16 | 0.8618 | Virginia | ACC | 16 | 17 | 16 | 15 | 17 | 22 | 605 |
17 | 0.8504 | Louisville | CUSA | 19 | 27 | 21 | 18 | 12 | 14 | 597 |
18 | 0.8462 | LSU | SEC | 20 | 12 | 19 | 20 | 23 | 20 | 594 |
19 | 0.8433 | West Virginia | BiE | 21 | 20 | 18 | 19 | 19 | 19 | 592 |
20 | 0.8405 | Texas A&M | B12 | 15 | 44 | 15 | 14 | 15 | 15 | 590 |
21 | 0.8333 | Iowa | B10 | 18 | 16 | 20 | 24 | 24 | 21 | 585 |
22 | 0.8120 | Virginia Tech | ACC | 25 | 21 | 25 | 22 | 21 | 24 | 570 |
23 | 0.7977 | Southern Miss | CUSA | 22 | 22 | 23 | 30 | 28 | 23 | 560 |
24 | 0.7963 | North Carolina | ACC | 31 | 19 | 31 | 21 | 20 | 27 | 559 |
25 | 0.7877 | Texas Tech | B12 | 27 | 24 | 27 | 25 | 27 | 25 | 553 |
26 | 0.7707 | UTEP | WAC | 28 | 62 | 22 | 23 | 16 | 16 | 541 |
27 | 0.7692 | Ohio State | B10 | 23 | 23 | 29 | 34 | 30 | 29 | 540 |
28 | 0.7578 | Navy | Ind | 30 | 29 | 28 | 29 | 32 | 28 | 532 |
29 | 0.7322 | Purdue | B10 | 26 | 35 | 30 | 39 | 34 | 30 | 514 |
30 | 0.7308 | Notre Dame | Ind | 24 | 48 | 26 | 28 | 37 | 32 | 513 |
31 | 0.7151 | Oregon St | P10 | 42 | 38 | 40 | 26 | 26 | 34 | 502 |
32 | 0.7023 | UCLA | P10 | 33 | 50 | 33 | 27 | 35 | 37 | 493 |
33 | 0.6994 | Oregon | P10 | 36 | 30 | 34 | 37 | 40 | 40 | 491 |
34 | 0.6909 | Georgia Tech | ACC | 41 | 39 | 50 | 33 | 25 | 35 | 485 |
35 | 0.6880 | UAB | CUSA | 29 | 68 | 24 | 42 | 36 | 26 | 483 |
36 | 0.6838 | Northwestern | B10 | 34 | 33 | 36 | 41 | 43 | 41 | 480 |
37 | 0.6695 | South Carolina | SEC | 32 | 46 | 32 | 40 | 45 | 43 | 470 |
38 | 0.6667 | Clemson | ACC | 37 | 42 | 45 | 31 | 33 | 52 | 468 |
39 | 0.6610 | Boston College | BiE | 40 | 32 | 37 | 52 | 47 | 36 | 464 |
40 | 0.6567 | Colorado | B12 | 43 | 40 | 41 | 35 | 38 | 50 | 461 |
41 | 0.6510 | Alabama | SEC | 39 | 25 | 38 | 45 | 53 | 51 | 457 |
42 | 0.6425 | Nebraska | B12 | 38 | 37 | 39 | 46 | 50 | 47 | 451 |
43 | 0.6368 | North Carolina St | ACC | 45 | 57 | 53 | 38 | 29 | 39 | 447 |
44 | 0.6296 | Louisiana Tech | WAC | 50 | 69 | 42 | 36 | 31 | 38 | 442 |
45 | 0.6282 | BYU | MW | 44 | 67 | 43 | 32 | 39 | 42 | 441 |
46 | 0.6040 | Minnesota | B10 | 35 | 59 | 35 | 54 | 57 | 44 | 424 |
47 | 0.6011 | Arkansas | SEC | 46 | 34 | 52 | 43 | 52 | 59 | 422 |
48 | 0.5926 | Iowa State | B12 | 48 | 53 | 56 | 47 | 42 | 46 | 416 |
49 | 0.5840 | Memphis | CUSA | 51 | 64 | 46 | 62 | 44 | 31 | 410 |
50 | 0.5755 | Syracuse | BiE | 52 | 52 | 48 | 50 | 48 | 54 | 404 |
51 | 0.5712 | New Mexico | MW | 54 | 60 | 54 | 44 | 46 | 49 | 401 |
52 | 0.5698 | Maryland | ACC | 53 | 31 | 62 | 51 | 49 | 62 | 400 |
53 | 0.5570 | Pittsburgh | BiE | 47 | 43 | 44 | 59 | 66 | 58 | 391 |
54 | 0.5556 | Northern Ill | MAC | 63 | 26 | 51 | 71 | 62 | 45 | 390 |
55 | 0.5527 | Bowling Green | MAC | 60 | 28 | 47 | 78 | 74 | 33 | 388 |
56 | 0.5456 | Stanford | P10 | 55 | 54 | 57 | 48 | 54 | 57 | 383 |
57 | 0.5427 | Missouri | B12 | 59 | 45 | 63 | 56 | 51 | 53 | 381 |
58 | 0.5399 | Michigan St | B10 | 49 | 36 | 58 | 64 | 61 | 61 | 379 |
59 | 0.5199 | Fresno St | WAC | 62 | 75 | 64 | 53 | 41 | 48 | 365 |
60 | 0.5128 | Wyoming | MW | 56 | 73 | 59 | 49 | 56 | 55 | 360 |
61 | 0.4829 | Wake Forest | ACC | 61 | 55 | 70 | 60 | 55 | 68 | 339 |
62 | 0.4815 | Florida | SEC | 57 | 66 | 49 | 58 | 68 | 72 | 338 |
63 | 0.4744 | Mississippi | SEC | 65 | 56 | 68 | 61 | 59 | 66 | 333 |
64 | 0.4715 | Connecticut | BiE | 58 | 58 | 60 | 67 | 67 | 67 | 331 |
65 | 0.4530 | Cincinnati | CUSA | 66 | 65 | 66 | 70 | 63 | 60 | 318 |
66 | 0.4245 | Toledo | MAC | 67 | 41 | 61 | 86 | 91 | 64 | 298 |
66 | 0.4245 | Baylor | B12 | 68 | 76 | 76 | 57 | 60 | 73 | 298 |
68 | 0.4231 | North Texas | SBC | 78 | 92 | 55 | 63 | 58 | 65 | 297 |
69 | 0.4217 | Kansas | B12 | 64 | 63 | 74 | 69 | 72 | 70 | 296 |
70 | 0.4174 | Kansas St | B12 | 71 | 49 | 81 | 65 | 71 | 78 | 293 |
71 | 0.4145 | Marshall | MAC | 72 | 47 | 67 | 84 | 84 | 63 | 291 |
72 | 0.4131 | Air Force | MW | 74 | 74 | 77 | 55 | 64 | 74 | 290 |
73 | 0.4074 | TCU | CUSA | 70 | 71 | 71 | 72 | 69 | 69 | 286 |
73 | 0.4074 | Troy St | SBC | 75 | 78 | 73 | 75 | 65 | 56 | 286 |
75 | 0.3932 | Washington St | P10 | 73 | 61 | 80 | 68 | 70 | 80 | 276 |
76 | 0.3704 | Indiana | B10 | 69 | 70 | 78 | 76 | 78 | 77 | 260 |
76 | 0.3704 | Rutgers | BiE | 76 | 72 | 65 | 77 | 76 | 82 | 260 |
78 | 0.3419 | Colorado St | MW | 77 | 81 | 82 | 66 | 77 | 85 | 240 |
79 | 0.3205 | Miami-Ohio | MAC | 80 | 51 | 79 | 102 | 100 | 71 | 225 |
80 | 0.3077 | New Mexico St | SBC | 81 | 102 | 83 | 74 | 73 | 79 | 216 |
81 | 0.2991 | UNLV | MW | 82 | 80 | 84 | 73 | 83 | 96 | 210 |
82 | 0.2977 | Mississippi St | SEC | 79 | 83 | 69 | 79 | 90 | 99 | 209 |
83 | 0.2963 | Hawaii | WAC | 89 | 85 | 72 | 80 | 88 | 86 | 208 |
84 | 0.2892 | South Florida | CUSA | 85 | 79 | 90 | 85 | 82 | 84 | 203 |
85 | 0.2792 | Middle Tenn St | SBC | 96 | 103 | 75 | 83 | 79 | 76 | 196 |
86 | 0.2507 | Houston | CUSA | 87 | 89 | 87 | 90 | 89 | 90 | 176 |
86 | 0.2507 | Penn State | B10 | 83 | 82 | 88 | 95 | 92 | 92 | 176 |
88 | 0.2336 | East Carolina | CUSA | 84 | 111 | 86 | 81 | 87 | 95 | 164 |
89 | 0.2279 | LA-Monroe | SBC | 97 | 116 | 103 | 82 | 75 | 75 | 160 |
90 | 0.2265 | LA-Lafayette | SBC | 93 | 106 | 95 | 91 | 81 | 83 | 159 |
91 | 0.2208 | Rice | WAC | 92 | 93 | 89 | 98 | 93 | 88 | 155 |
91 | 0.2208 | Nevada | WAC | 90 | 84 | 91 | 97 | 98 | 93 | 155 |
93 | 0.2094 | Vanderbilt | SEC | 88 | 94 | 92 | 88 | 97 | 102 | 147 |
93 | 0.2094 | San Diego St | MW | 91 | 87 | 97 | 89 | 96 | 101 | 147 |
95 | 0.2023 | Army | CUSA | 94 | 112 | 94 | 93 | 86 | 87 | 142 |
95 | 0.2023 | Utah St | SBC | 102 | 105 | 93 | 92 | 85 | 89 | 142 |
97 | 0.2009 | Arkansas St | SBC | 105 | 107 | 98 | 96 | 80 | 81 | 141 |
98 | 0.1923 | Washington | P10 | 101 | 77 | 100 | 94 | 95 | 106 | 135 |
99 | 0.1852 | Tulane | CUSA | 99 | 91 | 101 | 99 | 94 | 94 | 130 |
100 | 0.1781 | Akron | MAC | 95 | 98 | 85 | 107 | 107 | 91 | 125 |
101 | 0.1766 | Tulsa | WAC | 100 | 86 | 102 | 100 | 99 | 97 | 124 |
102 | 0.1610 | Illinois | B10 | 86 | 97 | 99 | 101 | 105 | 107 | 113 |
103 | 0.1524 | Arizona | P10 | 98 | 100 | 106 | 87 | 101 | 109 | 107 |
104 | 0.1225 | Kentucky | SEC | 104 | 88 | 105 | 105 | 108 | 112 | 86 |
105 | 0.1154 | San Jose St | WAC | 109 | 90 | 110 | 108 | 106 | 104 | 81 |
106 | 0.1125 | Central Mich | MAC | 103 | 104 | 104 | 109 | 109 | 100 | 79 |
107 | 0.1054 | Idaho | SBC | 111 | 109 | 108 | 106 | 102 | 98 | 74 |
108 | 0.1026 | SMU | WAC | 107 | 113 | 107 | 103 | 103 | 103 | 72 |
109 | 0.0940 | Eastern Mich | MAC | 112 | 95 | 96 | 113 | 113 | 113 | 66 |
110 | 0.0926 | Duke | ACC | 106 | 110 | 111 | 104 | 104 | 108 | 65 |
110 | 0.0926 | Ohio | MAC | 108 | 99 | 109 | 111 | 111 | 105 | 65 |
112 | 0.0755 | Kent St | MAC | 113 | 96 | 112 | 112 | 112 | 110 | 53 |
113 | 0.0570 | Temple | BiE | 110 | 114 | 113 | 110 | 110 | 111 | 40 |
114 | 0.0499 | Ball State | MAC | 114 | 101 | 114 | 114 | 115 | 115 | 35 |
115 | 0.0242 | Buffalo | MAC | 117 | 115 | 116 | 115 | 114 | 114 | 17 |
115 | 0.0242 | Western Mich | MAC | 115 | 108 | 117 | 117 | 117 | 117 | 17 |
117 | 0.0171 | UCF | MAC | 116 | 117 | 115 | 116 | 116 | 116 | 12 |
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