The Dickinson System was a mathematical point formula that awarded national championships in college football. Devised by University of Illinois economics professor Frank G. Dickinson, the system ranked national teams from 1924 to 1940. The 1924 ratings were made retroactively by Dickinson during the 1925 college football season, the first in which a number 1 team was designated at the end of the season. The retroactive choice on October 16, 1925, for the 1924 season was Notre Dame.
In the 1968 NCAA University Division football season, the system of "polls and bowls" changed. The Associated Press returned to its pre-1961 system of ranking the Top 20 rather than the Top 10, and voted on the national champion after the bowl games, rather than before. During the 20th century, the NCAA had no playoff for the major college football teams in the University Division, later known as Division I-A.
The 1977 NCAA Division I football season was one in which the top five teams finished with 11–1 records. Notre Dame, which beat top-ranked and undefeated Texas in the Cotton Bowl, became the national champion.
The 1926 college football season was the first in which an attempt was made to recognize a national champion after the season.
The 1927 college football season ended with the Illini of the University of Illinois (7–0–1) being recognized as champion under the Dickinson System. At season's end, the Rissler Cup was awarded to the team that finished first in the "Dickinson ratings", which considered strength of schedule, in that a win, loss or tie against a "strong" opponent was worth more than one against a lesser team, and the results were averaged.
The 1928 football season had both the USC Trojans and the Georgia Tech Golden Tornado claim national championships. USC was recognized as champions under the Dickinson System, but the Rose Bowl was contested between the No. 2 and No. 3 Dickinson-rated teams, California and Georgia Tech. The game was decided by a safety scored after Roy "Wrong Way" Riegels ran 65 yards in the wrong direction. Vance Maree blocked the ensuing punt which gave Georgia Tech a safety deciding the 8–7 win.
The 1929 college football season saw a number of unbeaten and untied teams. Purdue, Tulane, Notre Dame, and Pittsburgh all finished the regular season with wins over all their opponents. Notre Dame was recognized as national champion by all three of the contemporary major selectors. Houlgate would later name USC (10–2) on the basis of post-season play. Eight of nine retrospective selectors later also named Notre Dame and USC as No. 1 teams.
The 1930 college football season saw Notre Dame repeat as national champion under the Dickinson System, as well as claim the No. 1 position from each of the other three contemporary major selectors,. The post-season Rose Bowl matchup featured two unbeaten (9–0) teams, Washington State and Alabama, ranked No. 2 and No. 3, respectively. Alabama won the Pasadena contest, 24–0.
The 1931 college football season saw the USC Trojans win the Knute Rockne Memorial Trophy as national champion under the Dickinson System, as well as the No. 1 position from each of the other three contemporary major selectors. Rockne, who had coached Notre Dame to a championship in 1930, had been killed in a plane crash on March 31, 1931. For the first time, the champion under the Dickinson System also played in a postseason game. The 1932 Rose Bowl, promoted as a national championship game between the best teams of East and West, matched USC and Tulane, No. 1 and No. 2 in the Dickinson ratings. USC won, 21–12, and was awarded the Albert Russel Erskine Trophy.
The 1933 college football season saw the Michigan Wolverines repeat as winners of the Knute Rockne Memorial Trophy as national champion under the Dickinson System.
The 1935 college football season was the last one before the Associated Press (AP) writers' poll was used in selecting the national champion. There were seven contemporary math system selectors that year who are informally recognized by the NCAA as "nationwide in scope". The Dickinson System, run by University of Illinois Professor Frank Dickinson, selected Southern Methodist University (SMU) as best in the nation. The Houlgate System, created by Carroll Everard "Deke" Houlgate Sr., also selected SMU. The contemporary Boand, Litkenhous and Poling math rating systems all selected Minnesota as the No. 1 team in the nation. The Dunkel System selected Princeton as its top team. The Williamson System, by Paul O. Williamson of New Orleans, ranked Texas Christian University first.
The 1936 college football season was the first in which the Associated Press writers' poll selected a national champion. The first AP poll, taken of 35 writers, was released on October 20, 1936. Each writer listed his choice for the top ten teams, and points were tallied based on 10 for first place, 9 for second, etc., and the AP then ranked the twenty teams with the highest number of points. In the first poll, Minnesota received 32 first place votes, and 3 votes for an additional 25 points, for a total of 345 altogether. Of the seven contemporary math system selectors, two chose Pittsburgh as the top team.
The 1924 college football season was the year of the Four Horsemen as the Notre Dame team, coached by Knute Rockne, won all of its games, including the Rose Bowl, to be acclaimed as the best team in the nation. Notre Dame and Stanford were both unbeaten at season's end, with the Fighting Irish winning the Rose Bowl contest 27–10. The Penn Quakers were retroactively awarded a national championship by Parke H. Davis.
The 1950 college football season was the 82nd season of intercollegiate football in the United States. It concluded with four teams having a claim to the national championship:
The 1948 college football season finished with SMU halfback Doak Walker as the Heisman Trophy winner and six teams in contention for the national championship:
- Bennie Oosterbaan's Michigan compiled a 9–0 record, defeated six ranked opponents, and was the consensus national champion, receiving 192 of 333 first-place votes in the final AP Poll. It was Michigan's second consecutive undefeated season, extending the program's winning streak to 23 games.
- Frank Leahy's Notre Dame Fighting Irish compiled a 9–0–1 record and had a 21-game winning streak dating back to the 1946 season before playing a 14–14 tie with USC in the final game of the 1948 season. Notre Dame was ranked No. 2 in the final AP Poll, receiving 97 of 333 first-place votes, with the same record as Michigan due to the final poll being taken prior to their season-ending tie.
- Carl Snavely's No. 3 North Carolina Tar Heels, led by Heisman Trophy runner-up Charlie Justice, were undefeated in the regular season (9–0–1) but lost to Oklahoma in the 1949 Sugar Bowl.
- Pappy Waldorf's No. 4 California Golden Bears, led by Jackie Jensen who finished fourth in the 1948 Heisman Trophy voting, were undefeated in the regular season (10–0), but lost to Northwestern in the 1949 Rose Bowl.
- Bud Wilkinson's No. 5 Oklahoma Sooners compiled a 10–1 record, including a victory over No. 3 North Carolina in the 1949 Sugar Bowl.
- Earl Blaik's No. 6 Army Cadets finished the season undefeated (8–0–1). They won the first eight games of the season and were ranked No. 3 in the AP Poll before playing Navy to a tie in the annual Army–Navy Game.
The 1947 college football season finished with Notre Dame, Michigan, and Penn State all unbeaten and untied, but the Fighting Irish of Notre Dame were the first place choice for 107 of the 142 voters in the final AP Poll in early December, and repeated as national champions. Michigan was selected for the top spot by six contemporary math systems.
The 1938 college football season ended with the Horned Frogs of Texas Christian University (TCU) being named the nation's No. 1 team by 55 of the 77 voters in the final Associated Press writers' poll in early December. Tennessee was also chosen by six contemporary math system selectors as a national champion; both teams won every game. Notre Dame was chosen by the Dickinson System and won the Knute Rockne Memorial Trophy.
The 1939 college football season concluded with the Aggies of The Agricultural and Mechanical College of Texas being named as the national champions by the voters in the Associated Press writers' poll. Led by consensus All-American fullback John Kimbrough, the Aggies went undefeated at 11–0 and outscored their opponents by a combined total of 212 to 31, with the defense allowing just 54 first downs and 763 yards all season, or 1.71 yards per play. On New Year's Day, Texas A&M defeated Tulane, 14–13 in the Sugar Bowl.
The 1943 college football season was the 75th season of intercollegiate football in the United States. Played during World War II, the competition included schools from the Big Ten Conference, the Pacific Coast Conference (PCC), the Southeastern Conference (SEC), the Big Six Conference, the Southwestern Conference, and numerous smaller conferences and independent programs.
The 1932 college football season rankings were attempt to rank the best American football teams participating in the 1932 college football season. They included mathematical systems operated by William F. Boand, Frank G. Dickinson, and Dick Dunkel.