115:
27:
753:
Since created in 1992, the four instances where the Colley Matrix has chosen a different national champion from the BCS/CFP winner are the most of any NCAA recognized selector in that timeframe. Colley Matrix is also the only NCAA recognized selector to ever choose a different champion than the CFP
713:
despite being the only undefeated FBS team that season, albeit with a much weaker strength of schedule than the teams picked above them (103 at the end of the regular season, while playoff semifinalists
Clemson, Oklahoma, Georgia, and Alabama's strength of schedules ranked 38, 24, 27, and 34,
726:
The methodology of the rankings have been questioned by others on the grounds of subjectivity and specifics of the statistical math. It has also been criticized for not correctly emphasizing a team's strength of schedule, head-to-head results, and for problems with the formula used for the
69:, in a way that is free of bias toward conference, tradition, or region." Colley claims that his method is bias free for estimating the ranking of a team given a particular schedule. The resulting values for each team are identified as a ranking, thus being a realization of
99:
The NCAA records book indicates that the Colley Matrix has been active since 1992, however this appears to be an error and no Colley selections are listed for 1992–1997. The season rankings on Colley's own website begin in 1998.
628:
moved away from using four polls, one being Colley Matrix, to determine the host site for its conference championship game in football, due to "a shift to place a priority on head-to-head competition."
65:, Colley states, "The method is based on very simple statistical principles, and uses only Div. I-A wins and losses as input — margin of victory does not matter. The scheme adjusts effectively for
46:
1789:
93:
1630:
813:
710:
696:
1688:
743:
81:
718:
In each of the above instances, the Colley Matrix was the only NCAA recognized selector to choose a champion other than the BCS or CFP winner.
594:
108:
1671:
670:
389:
111:
national championship game. In each of the years, the Colley Matrix was the only NCAA-designated "major selector" to select that champion.
1726:
747:
1647:
406:
168:
778:
648:
372:
1609:
621:
and Dunkel rankings. The change was made because the BCS wanted computer rankings that did not depend heavily on margin of victory.
731:
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299:
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123:
688:
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457:
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338:
151:
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265:
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197:
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146:
678:
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559:
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202:
185:
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270:
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321:
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609:(BCS) system of determining national championship game participants. Added in 2001, the Peter Wolfe and Wes Colley/
355:
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848:
706:
590:
474:
253:
104:
735:
508:
304:
236:
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first, while UCF finished No. 6 in the AP Poll and No. 7 in the
Coaches Poll. UCF was not selected for the
611:
103:
In four years (2011, 2012, 2016, 2017) the Colley Matrix selected a national champion that did not win the
41:
designed by Dr. Wesley Colley. It is one of more than 40 polls, rankings, and formulas recognized by the
742:, at No. 10 instead of No. 11. The error was a result of Colley failing to input an FCS playoff game (
637:
633:
625:
606:
1576:
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750:) correctly, a mistake that affected an order that helped determine bowl pairings that season.
899:
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1401:
1376:
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1301:
1276:
761:
method, a parametric family of ranking methods developed by P. Yu. Chebotarev (1989).
119:
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70:
66:
62:
38:
1727:"The Computer Poll Uprising: Creators of the BCS's Most Controversial Component Look Back"
8:
1601:
617:
92:
As an NCAA-designated major selector, the NCAA regards the following teams as Colley's
74:
1631:"Mountain West announces new host procedure for conference football championship game"
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50:
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832:"Colley’s Bias Free College Football Ranking Method: The Colley Matrix Explained"
1778:
814:"National champions: UCF Knights finish season ranked No. 1 in Colley Matrix"
864:
660:
20:
1526:
677:
second despite the
Crimson Tide defeating the Fighting Irish 42–14 in the
790:
USC's record listed for 2004 includes two wins later vacated by the NCAA.
831:
926:
1749:
26:
632:
The Colley Matrix has chosen a different national champion from the
1741:
Csató, L. On the ranking of a Swiss system chess team tournament,
656:
1767:
1527:"Colley's Bias Free College Football Rankings: Current Rankings"
605:
The Colley Matrix was one of the computer rankings used during
80:
The formula was adjusted in 2007 to account for games against
1577:"Colley's Bias Free College Football Rankings: 2023 Rankings"
1552:"Colley's Bias Free College Football Rankings: 2022 Rankings"
1502:"Colley's Bias Free College Football Rankings: 2020 Rankings"
1477:"Colley's Bias Free College Football Rankings: 2019 Rankings"
1452:"Colley's Bias Free College Football Rankings: 2018 Rankings"
1427:"Colley's Bias Free College Football Rankings: 2017 Rankings"
1402:"Colley's Bias Free College Football Rankings: 2016 Rankings"
1377:"Colley's Bias Free College Football Rankings: 2015 Rankings"
1352:"Colley's Bias Free College Football Rankings: 2014 Rankings"
1327:"Colley's Bias Free College Football Rankings: 2013 Rankings"
1302:"Colley's Bias Free College Football Rankings: 2012 Rankings"
1277:"Colley's Bias Free College Football Rankings: 2011 Rankings"
1252:"Colley's Bias Free College Football Rankings: 2010 Rankings"
1227:"Colley's Bias Free College Football Rankings: 2009 Rankings"
1202:"Colley's Bias Free College Football Rankings: 2008 Rankings"
1152:"Colley's Bias Free College Football Rankings: 2006 Rankings"
1127:"Colley's Bias Free College Football Rankings: 2005 Rankings"
1102:"Colley's Bias Free College Football Rankings: 2004 Rankings"
1077:"Colley's Bias Free College Football Rankings: 2003 Rankings"
1052:"Colley's Bias Free College Football Rankings: 2002 Rankings"
1027:"Colley's Bias Free College Football Rankings: 2001 Rankings"
1002:"Colley's Bias Free College Football Rankings: 2000 Rankings"
977:"Colley's Bias Free College Football Rankings: 1999 Rankings"
952:"Colley's Bias Free College Football Rankings: 1998 Rankings"
118:"2017 National Champions" signage at the home stadium of the
1177:"Colley's Bias Free College Football Rankings:2007 Rankings"
42:
1672:"Notre Dame is still No. 1, according to one BCS computer"
754:(in use since the 2014 season), which it has done twice.
1790:
College men's basketball rankings in the United States
1689:"A new, improved CFB strength of schedule measurement"
589:† Years in which Colley Matrix selection did not win
695:
second despite
Clemson beating Alabama 35–31 in the
697:
2017 College
Football Playoff National Championship
1648:"Oklahoma State Football: 2011 National Champions"
849:"The problem with RPI, Elo, and the Colley Matrix"
1776:
907:. National Collegiate Athletic Association. 2021
651:as first, although the team did not play in the
122:program; Colley Matrix ranked UCF first for the
894:
892:
890:
888:
886:
884:
721:
1712:"Statistics of Colley’s Ranking Methodology"
881:
834:ColleyRankings.com. Retrieved 2018-09-01.
779:NCAA Division I Football Bowl Subdivision
1686:
1645:
809:
807:
615:computer rankings were used in place of
124:2017 NCAA Division I FBS football season
113:
25:
844:
842:
840:
757:Colley Matrix is a special case of the
1777:
1612:from the original on October 18, 2015
1602:"BCS formula still subject of debate"
804:
87:
927:"Previous Seasons Football Rankings"
837:
827:
825:
679:2013 BCS National Championship Game
653:2012 BCS National Championship Game
13:
1750:https://arxiv.org/abs/1507.05045v5
730:In the final BCS rankings for the
14:
1806:
1759:
901:Football Bowl Subdivision Records
822:
777:Division I-A is now known as the
738:was incorrectly ranked ahead of
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1705:
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1169:
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655:and finished No. 3 in both the
969:
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919:
857:
771:
56:
16:College football rating system
1:
1743:Annals of Operations Research
1687:Connelly, Bill (2017-11-03).
1646:CincyJoe (January 10, 2012).
797:
711:2018 College Football Playoff
612:Atlanta Journal-Constitution
597:national championship game.
7:
722:Criticism and controversies
47:national champion selectors
10:
1811:
600:
18:
1795:Tournament rating systems
1785:College football rankings
764:
638:College Football Playoff
634:Bowl Championship Series
626:Mountain West Conference
607:Bowl Championship Series
61:In his initial paper at
37:is a computer-generated
19:Not to be confused with
1732:. Retrieved 2018-09-01.
1717:. Retrieved 2018-09-01.
1677:. Retrieved 2018-09-01.
1636:. Retrieved 2018-09-01.
1634:San Diego Union-Tribune
854:. Retrieved 2018-09-01.
819:. Retrieved 2018-09-01.
705:— Colley Matrix ranked
687:— Colley Matrix ranked
669:— Colley Matrix ranked
647:— Colley Matrix ranked
1652:cowboysrideforfree.com
1608:. September 16, 2002.
126:
30:
915:– via NCAA.org.
865:"FCS Grouping System"
640:champion four times:
117:
29:
120:UCF Knights football
71:Pierre-Simon Laplace
67:strength of schedule
63:Princeton University
39:sports rating system
759:Generalized row sum
1730:Sports Illustrated
1715:Squared Statistics
1581:colleyrankings.com
1556:colleyrankings.com
1531:colleyrankings.com
1506:colleyrankings.com
1481:colleyrankings.com
1456:colleyrankings.com
1431:colleyrankings.com
1406:colleyrankings.com
1381:colleyrankings.com
1356:colleyrankings.com
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1306:colleyrankings.com
1281:colleyrankings.com
1256:colleyrankings.com
1231:colleyrankings.com
1206:colleyrankings.com
1181:colleyrankings.com
1156:colleyrankings.com
1131:colleyrankings.com
1106:colleyrankings.com
1081:colleyrankings.com
1056:colleyrankings.com
1031:colleyrankings.com
1006:colleyrankings.com
981:colleyrankings.com
956:colleyrankings.com
931:colleyrankings.com
869:colleyrankings.com
618:The New York Times
127:
88:National champions
75:Rule of Succession
31:
744:Appalachian State
587:
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94:national champion
1802:
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1768:Official website
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1748:, 17-36 (2017).
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748:Western Illinois
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51:college football
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45:in its list of
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1761:
1760:External links
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727:calculation.
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673:as first and
672:
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732:2010 season
96:selection.
57:Methodology
1779:Categories
1698:2022-08-08
1586:January 8,
874:2021-10-13
852:Jelly Juke
798:References
691:first and
671:Notre Dame
424:Ohio State
390:Notre Dame
220:Ohio State
203:Miami (FL)
1675:USA Today
152:Tennessee
1610:Archived
1606:ESPN.com
577:Michigan
186:Oklahoma
135:Champion
936:May 23,
693:Clemson
689:Alabama
675:Alabama
657:AP Poll
601:History
560:Georgia
543:Georgia
526:Alabama
492:Clemson
470:2017 †
458:Alabama
453:2016 †
441:Alabama
385:2012 †
368:2011 †
339:Alabama
322:Florida
288:Florida
84:teams.
1616:May 1,
781:(FBS).
356:Auburn
138:Record
132:Season
905:(PDF)
765:Notes
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271:Texas
258:13–0
241:13–1
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173:12–0
156:13–0
141:Ref.
1659:2021
1618:2009
1588:2024
1563:2023
1538:2021
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988:2021
963:2021
938:2023
913:2021
746:vs.
703:2017
685:2016
667:2012
659:and
645:2011
572:2023
555:2022
538:2021
521:2020
504:2019
487:2018
462:14–1
436:2015
419:2014
402:2013
351:2010
334:2009
317:2008
300:2007
283:2006
266:2005
249:2004
232:2003
215:2002
198:2001
181:2000
164:1999
147:1998
43:NCAA
33:The
1746:254
736:LSU
707:UCF
636:or
595:CFP
593:or
591:BCS
509:LSU
475:UCF
305:LSU
254:USC
237:LSU
109:CFP
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