Berryman QPRS
Berryman QPRS, also known as the Berryman Quality Point Rating System is a mathematical rating system developed by Clyde P. Berryman to rate sports teams and competitors. The Berryman QPRS system considers strength of schedule, win-loss record, points scored, and points allowed. Berryman applied his QPRS system to select college football national champions on a current basis from 1990 to 2011. He also applied the QPRS system retroactively to select national champions for each year from 1920 to 1989. The Berryman QPRS is one of the rating systems used to select historic national champions that is recognized by the National Collegiate Athletic Association in its Football Bowl Subdivision record book.Berryman QPRS national champions
The following list identifies the college football national champions as selected by the Berryman QPRS methodology.
; Retroactive
| Season | Champion | Record | Coach |
| 1920 | Georgia | 8–0–1 | Herman Stegeman |
| 1921 | California | 9–0–1 | Andy Smith |
| 1921 | Vanderbilt | 7–0–1 | Dan McGugin |
| 1922 | Vanderbilt | 8–0–1 | Dan McGugin |
| 1923 | Illinois | 8–0 | Robert Zuppke |
| 1923 | Yale | 8–0 | Tad Jones |
| 1924 | Notre Dame | 10–0 | Knute Rockne |
| 1925 | Alabama | 10–0 | Wallace Wade |
| 1926 | Alabama | 9–0–1 | Wallace Wade |
| 1927 | Georgia | 9–1 | George Cecil Woodruff |
| 1928 | Georgia Tech | 10–0 | William Alexander |
| 1929 | USC | 10–2 | Howard Jones |
| 1930 | Alabama | 10–0 | Wallace Wade |
| 1931 | USC | 10–1 | Howard Jones |
| 1932 | USC | 10–0 | Howard Jones |
| 1933 | Michigan | 7–0–1 | Harry Kipke |
| 1934 | Alabama | 10–0 | Frank Thomas |
| 1935 | SMU | 12–1 | Matty Bell |
| 1936 | Duke | 9–1 | Wallace Wade |
| 1937 | Pittsburgh | 9–0–1 | Jock Sutherland |
| 1938 | Tennessee | 11–0 | Robert Neyland |
| 1939 | Texas A&M | 11–0 | Homer Norton |
| 1940 | Minnesota | 8–0 | Bernie Bierman |
| 1941 | Texas | 8–1–1 | Dana X. Bible |
| 1942 | Georgia | 11–1 | Wally Butts |
| 1943 | Notre Dame | 9–1 | Frank Leahy |
| 1944 | Army | 9–0 | Earl Blaik |
| 1945 | Army | 9–0 | Earl Blaik |
| 1946 | Notre Dame | 8–0–1 | Frank Leahy |
| 1947 | Michigan | 10–0 | Fritz Crisler |
| 1948 | Michigan | 9–0 | Bennie Oosterbaan |
| 1949 | Notre Dame | 10–0 | Frank Leahy |
| 1950 | Oklahoma | 10–1 | Bud Wilkinson |
| 1951 | Georgia Tech | 11–0–1 | Bobby Dodd |
| 1952 | Georgia Tech | 12–0 | Bobby Dodd |
| 1953 | Oklahoma | 9–1–1 | Bud Wilkinson |
| 1954 | Ohio State | 10–0 | Woody Hayes |
| 1955 | Oklahoma | 11–0 | Bud Wilkinson |
| 1956 | Georgia Tech | 10–1 | Bobby Dodd |
| 1957 | Oklahoma | 10–1 | Bud Wilkinson |
| 1958 | LSU | 11–0 | Paul Dietzel |
| 1959 | Ole Miss | 10–1 | Johnny Vaught |
| 1960 | Iowa | 8–1 | Forest Evashevski |
| 1961 | Alabama | 11–0 | Paul "Bear" Bryant |
| 1962 | LSU | 9–1–1 | Charles McClendon |
| 1962 | USC | 11–0 | John McKay |
| 1963 | Texas | 11–0 | Darrell Royal |
| 1964 | Alabama | 10–1 | Paul "Bear" Bryant |
| 1965 | Michigan State | 10–1 | Duffy Daugherty |
| 1966 | Alabama | 11–0 | Paul "Bear" Bryant |
| 1967 | USC | 10–1 | John McKay |
| 1968 | Ohio State | 10–0 | Woody Hayes |
| 1969 | Texas | 11–0 | Darrell Royal |
| 1970 | Texas | 10–1 | Darrell Royal |
| 1971 | Nebraska | 13–0 | Bob Devaney |
| 1972 | USC | 12–0 | John McKay |
| 1973 | Alabama | 11–1 | Paul "Bear" Bryant |
| 1974 | Oklahoma | 11–0 | Barry Switzer |
| 1975 | Ohio State | 11–1 | Woody Hayes |
| 1976 | USC | 11–1 | John Robinson |
| 1977 | Texas | 11–1 | Fred Akers |
| 1978 | USC | 12–1 | John Robinson |
| 1979 | Alabama | 12–0 | Paul "Bear" Bryant |
| 1980 | Georgia | 12–0 | Vince Dooley |
| 1981 | Clemson | 12–0 | Danny Ford |
| 1982 | Nebraska | 12–1 | Tom Osborne |
| 1983 | Nebraska | 12–1 | Tom Osborne |
| 1984 | Washington | 11–1 | Don James |
| 1985 | Oklahoma | 11–1 | Barry Switzer |
| 1986 | Oklahoma | 11–1 | Barry Switzer |
| 1987 | Florida State | 11–1 | Bobby Bowden |
| 1988 | Miami | 11–1 | Jimmy Johnson |
| 1989 | Notre Dame | 12–1 | Lou Holtz |
; Contemporaneous
| Season | Champion | Record | Coach |
| 1990 | Colorado | 11–1–1 | Bill McCartney |
| 1991 | Washington | 12–0 | Don James |
| 1992 | Alabama | 13–0 | Gene Stallings |
| 1993 | Florida State | 12–1 | Bobby Bowden |
| 1994 | Nebraska | 13–0 | Tom Osborne |
| 1995 | Nebraska | 12–0 | Tom Osborne |
| 1996 | Florida | 12–1 | Steve Spurrier |
| 1997 | Nebraska | 13–0 | Tom Osborne |
| 1998 | Tennessee | 13–0 | Phillip Fulmer |
| 1999 | Florida State | 12–0 | Bobby Bowden |
| 2000 | Oklahoma | 13–0 | Bob Stoops |
| 2001 | Miami | 12–0 | Larry Coker |
| 2002 | Ohio State | 14–0 | Jim Tressel |
| 2003 | Oklahoma | 12–2 | Bob Stoops |
| 2004 | USC | 11–0 | Pete Carroll |
| 2005 | Texas | 13–0 | Mack Brown |
| 2006 | Florida | 13–1 | Urban Meyer |
| 2007 | LSU | 12–2 | Les Miles |
| 2008 | Florida | 13–1 | Urban Meyer |
| 2009 | Alabama | 14–0 | Nick Saban |
| 2010 | Auburn | 14–0 | Gene Chizik |
| 2011 | Alabama | 12–1 | Nick Saban |
