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Topic: College Football (Read 3501 times) |
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Fritzlein
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Re: College Football
« Reply #15 on: Nov 11th, 2007, 5:43pm » |
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on Nov 11th, 2007, 3:29pm, The_Jeh wrote:Through Week 11 1. LSU 9-1 2. Oregon 8-1 3. Arizona State 9-1 4. Ohio State 10-1 5. Missouri 9-1 6. Georgia 8-2 7. Virginia Tech 8-2 8. Kansas 10-0 |
| This first method shows how you can be penalized for playing weak opponents, even if you beat them. Kansas would be better off having not even played its first four games. Remove those wins, and then a 6-0 Kansas will top the list, or at least be very near.
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The_Jeh
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Re: College Football
« Reply #16 on: Nov 11th, 2007, 7:49pm » |
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Yeah. The schedule strength system would be more meaningful if margin of victory were taken into consideration, because then there would be realistic expectations for playing weak teams. I really am not a big fan of margin of victory though, as I think the object of a game is to win, not win by any certain amount.
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The_Jeh
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Re: College Football
« Reply #17 on: Nov 18th, 2007, 12:18pm » |
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Well then, for the new week I'm going to abandon the first method. When I think about the reasoning of the second method, I like it a lot better. Remember, with this system, the likelihood that team A defeats team B is given by A/(A+B). All college football games have been considered. In addition, each team has been given one win and two losses to a fictional Anchor team. The computer then calculates what rating values maximize the likelihood of seeing the results that were seen. Through November 17 1. Kansas 11-0 5.41899 2. LSU 10-1 5.20502 3. Ohio State 11-1 5.17529 4. Missouri 10-1 4.50428 5. West Virginia 9-1 3.99573 6. Arizona State 9-1 3.72979 7. Boston College 9-2 3.68082 8. Georgia 9-2 3.65684 9. Virginia Tech 9-2 3.43755 10. Hawai'i 10-0 3.35496 11. Florida 8-3 3.02305 12. Oregon 8-2 2.99427 13. Illinois 9-3 2.86958 14. Oklahoma 9-2 2.80531 15. Connecticut 9-2 2.74282 16. Virginia 9-2 2.71375 17. Texas 9-2 2.67379 18. South Florida 8-3 2.63219 19. Boise State 10-1 2.55841 20. Clemson 8-3 2.48578 21. Wisconsin 9-3 2.42086 22. Tennessee 8-3 2.37501 23. Brigham Young 8-2 2.35899 24. USC 8-2 2.32043 25. Cincinnati 8-3 2.24387 Predictions for selected games this week: Kansas 55%, Missouri 45% Hawai'i 57%, Boise State 43% West Virginia 59%, Connecticut 41% Arizona State 62%, USC 38% LSU 79%, Arkansas 21%
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« Last Edit: Nov 18th, 2007, 10:29pm by The_Jeh » |
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The_Jeh
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Re: College Football
« Reply #18 on: Nov 25th, 2007, 1:24am » |
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Through November 24 1. Missouri 11-1 5.60693 2. Ohio State 11-1 5.06008 3. West Virginia 10-1 4.85715 4. Hawai'i 11-0 4.26141 5. Kansas 11-1 4.18928 6. Boston College 10-2 4.08614 7. Georgia 10-2 3.97843 8. Virginia Tech 10-2 3.95533 9. LSU 10-2 3.88606 10. Oklahoma 10-2 3.25863 11. Florida 9-3 3.24526 12. Arizona State 9-2 2.93417 13. Illinois 9-3 2.89044 14. Clemson 9-3 2.86987 15. South Florida 9-3 2.86491 16. Brigham Young 9-2 2.82428 17. Tennessee 9-3 2.74949 18. USC 9-2 2.72120 19. Wisconsin 9-3 2.42238 20. Oregon 8-3 2.33131 21. Connecticut 9-3 2.32555 22. Cincinnati 9-3 2.29049 23. Virginia 9-3 2.28968 24. Michigan 8-4 2.18822 25. Boise State 10-2 2.16534
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The_Jeh
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Re: College Football
« Reply #19 on: Nov 29th, 2007, 1:42pm » |
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I have recently made huge improvements to the ranking system. I made a new model that considers only points and disregards wins and losses. When I combine it with the Bradley-Terry model (with anchor), the results are much better than any of my rankings before. It is much harder to tabulate, however, so here are the top ten teams using games through November 24: 1. West Virginia 2. Missouri 3. Ohio State 4. Kansas 5. Oklahoma 6. LSU 7. Florida 8. Georgia 9. Arizona State 10. Virginia Tech [11. South Florida] [12. Hawai'i]
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« Last Edit: Nov 30th, 2007, 9:21pm by The_Jeh » |
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The_Jeh
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Re: College Football
« Reply #20 on: Dec 2nd, 2007, 10:41am » |
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Final Rankings 1. Oklahoma 11-2 2. Ohio State 11-1 3. Kansas 11-1 4. LSU 11-2 5. Missouri 11-2 6. Florida 9-3 7. West Virginia 10-2 8. Virginia Tech 11-2 9. USC 10-2 10. Georgia 10-2 11. Arizona State 10-2 12. South Florida 9-3 13. Clemson 9-3 14. Cincinnati 9-3 15. Oregon 8-4 16. Boston College 10-3 17. Brigham Young 10-2 18. Texas 9-3 19. Tennessee 9-4 20. Illinois 9-3 21. Hawai'i 12-0 22. Boise State 10-2 23. Auburn 8-4 24. Arkansas 8-4 25. Penn State 8-4
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« Last Edit: Dec 2nd, 2007, 11:03am by The_Jeh » |
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