Introduction to the
Retrodictive Ratings
"One Game Does Not a
Champion Make"
You will notice that in some years the team that won the
championship did not have the top spot in my ratings. The statement above says
it all - One game does not a champion make. My retrodictive ratings treat every
game the same.
The Retrodictive
Ratings are a modern solution to rating teams logically based upon the
information that is available. I think it is the most logical way to stack the
teams. It does not use margin of victory but its predictive version does
surprisingly well at predicting game outcomes without considering the margin of
victory. The ratings go from the first year (1869) until the present.
Here are some of the problems when
there is a lack of information, i.e., the early years:
1869: Since margin of victory is not
used, There was no clear winner between Princeton and Rutgers, each winning one
game.
1872: Princeton only played Rutgers;
Yale only played Columbia. How they compare can only be decided by their
opponents' ratings.
1873: Princeton only played Yale.
Since that was Yale's only loss, we can only assume that Princeton was better.
1874: Princeton and Yale alone were
undefeated. Princeton beat better teams. What can I say?
1875: Same thing as the year before:
Harvard and Princeton didn't play each other.
1876: Where do you put Rutgers? They
were 1-0 and the team they beat was tied in last place.
1877: Where do you put Tufts? They
were 0-3 but lost only to top teams. Three undefeated teams this time.
The Retrodictive Ratings consider all
the games in a team's season. They do not give extra weight to bowl games. Thus
the national champion does not always finish at the top. Here is a comparison of
my Retrodictive Ratings to the actual national champions:
year |
my ratings |
national champion |
|
|
|
1869 |
Princeton, Rutgers |
Princeton |
1870 |
Princeton |
Princeton |
1872 |
Princeton |
Princeton |
1873 |
Princeton |
Princeton |
1874 |
Princeton |
Yale, Princeton |
1875 |
Harvard |
Harvard, Princeton |
1876 |
Yale |
Yale |
1877 |
Yale, Princeton |
Yale |
1878 |
Princeton |
Princeton |
1879 |
Princeton |
Princeton |
1880 |
Princeton, Yale |
Yale, Princeton |
1881 |
Yale |
Yale, Princeton |
1882 |
Yale |
Yale |
1883 |
Yale |
Yale |
1884 |
Princeton, Yale |
Yale |
1885 |
Princeton |
Princeton |
1886 |
Princeton, Yale |
Yale |
1887 |
Yale |
Yale |
1888 |
Yale |
Yale |
1889 |
Princeton |
Princeton |
1890 |
Harvard |
Harvard |
1891 |
Yale |
Yale |
1892 |
Yale |
Yale |
1893 |
Princeton |
Princeton |
1894 |
Yale |
Yale |
1895 |
Penn |
Penn |
1896 |
Princeton, Lafayette |
Princeton, Lafayette |
1897 |
Penn |
Penn |
1898 |
Harvard |
Harvard |
1899 |
Princeton |
Harvard |
1900 |
Yale |
Yale |
1901 |
Harvard |
Michigan, Harvard |
1902 |
Yale |
Michigan |
1903 |
Princeton |
Michigan, Princeton |
1904 |
Penn |
Michigan, Penn |
1905 |
Chicago |
Chicago |
1906 |
Wisconsin |
Princeton, Vanderbilt |
1907 |
Penn |
Yale, Penn |
1908 |
Chicago |
Penn, LSU |
1909 |
Yale |
Yale |
1910 |
Navy |
Harvard, Pittsburgh |
1911 |
Minnesota |
Penn State, Princeton |
1912 |
Harvard |
Harvard, Penn State |
1913 |
Harvard |
Harvard, Auburn |
1914 |
Illinois |
Illinois, Army |
1915 |
Cornell |
Cornell, Nebraska |
1916 |
Pittsburgh |
Pittsburgh |
1917 |
Pittsburgh |
Georgia Tech |
1918 |
Pittsburgh |
Michigan, Pittsburgh |
1919 |
Centre |
Harvard, Notre Dame, Texas A&M |
1920 |
California |
California |
1921 |
Iowa |
Iowa, Cornell |
1922 |
Iowa |
Princeton, California |
1923 |
Illinois |
Illinois, Michigan |
1924 |
Notre Dame |
Notre Dame |
1925 |
Alabama |
Alabama |
1926 |
Alabama, Stanford |
Alabama, Stanford |
1927 |
Texas A&M |
Illinois |
1928 |
Georgia Tech |
Georgia Tech |
1929 |
Notre Dame |
Notre Dame |
1930 |
Notre Dame |
Notre Dame |
1931 |
USC |
USC |
1932 |
USC |
USC |
1933 |
Princeton |
Michigan |
1934 |
Minnesota |
Minnesota |
1935 |
Minnesota |
Minnesota |
1936 |
Minnesota |
Minnesota |
1937 |
Santa Clara |
Pittsburgh |
1938 |
Tennessee |
TCU |
1939 |
Texas A&M |
Texas A&M |
1940 |
Minnesota |
Minnesota |
1941 |
Minnesota |
Minnesota |
1942 |
Georgia |
Ohio State |
1943 |
Purdue |
Notre Dame |
1944 |
Norman NAS |
Army, Ohio State |
1945 |
Oklahoma State |
Army, Alabama |
1946 |
Notre Dame, Army |
Notre Dame |
1947 |
Notre Dame |
Notre Dame, Michigan |
1948 |
Michigan |
Michigan |
1949 |
Notre Dame |
Notre Dame |
1950 |
Princeton |
Oklahoma |
1951 |
Maryland |
Tennessee |
1952 |
Georgia Tech |
Michigan State |
1953 |
Notre Dame |
Maryland |
1954 |
Ohio State |
Ohio State, UCLA |
1955 |
Oklahoma |
Oklahoma |
1956 |
Oklahoma |
Oklahoma |
1957 |
Auburn |
Auburn, Ohio State |
1958 |
LSU |
LSU |
1959 |
Syracuse |
Syracuse |
1960 |
Iowa |
Minnesota |
1961 |
Alabama |
Alabama |
1962 |
Mississippi |
USC |
1963 |
Texas |
Texas |
1964 |
Arkansas |
Alabama |
1965 |
Michigan State |
Michigan State, Alabama |
1966 |
Michigan State, Notre Dame |
Notre Dame |
1967 |
USC |
USC |
1968 |
Ohio State |
Ohio State |
1969 |
Penn State |
Texas |
1970 |
Notre Dame |
Nebraska, Texas |
1971 |
Nebraska |
Nebraska |
1972 |
USC |
USC |
1973 |
Notre Dame, Ohio State, Michigan |
Notre Dame, Alabama |
1974 |
Oklahoma |
Oklahoma, USC |
1975 |
Arizona State |
Oklahoma |
1976 |
Pittsburgh |
Pittsburgh |
1977 |
Texas |
Notre Dame |
1978 |
Alabama |
Alabama, USC |
1979 |
Alabama |
Alabama |
1980 |
Georgia |
Georgia |
1981 |
Clemson |
Clemson |
1982 |
Penn State |
Penn State |
1983 |
Auburn |
Miami |
1984 |
Florida |
BYU |
1985 |
Oklahoma |
Oklahoma |
1986 |
Penn State |
Penn State |
1987 |
Miami |
Miami |
1988 |
Notre Dame |
Notre Dame |
1989 |
Notre Dame |
Miami |
1990 |
Colorado |
Colorado |
1991 |
Miami |
Miami, Washington |
1992 |
Alabama |
Alabama |
1993 |
Auburn |
Florida State |
1994 |
Nebraska |
Nebraska |
1995 |
Nebraska |
Nebraska |
1996 |
Florida, Florida State |
Florida |
1997 |
Nebraska |
Nebraska, Michigan |
1998 |
Tennessee |
Tennessee |
1999 |
Florida State |
Florida State |
2000 |
Oklahoma |
Oklahoma |
2001 |
Miami |
Miami |
2002 |
Ohio State |
Ohio State |
2003 |
LSU |
LSU, USC |
2004 |
USC |
USC |
Thus, the champions line up this way, with the number of
accumulated championships: 16 - Princeton; 14 -
Yale; 10 1/3 - Notre Dame; 6 - Harvard, Minnesota; 5
1/2 - Alabama; 5 - USC, Oklahoma; 4 - Penn,
Pittsburgh, Nebraska; 3 1/3 - Ohio State; 3 - Iowa,
Auburn, Penn State, Miami; 2 - Chicago, Texas A&M, Illinois,
Georgia Tech, Tennessee, Georgia, LSU, Texas; 1 1/2 - Michigan
State, Florida, Florida State; 1 1/3 - Michigan; 1 -
Wisconsin, Navy, Cornell, Centre, California, Santa Clara, Purdue, Norman NAS,
Oklahoma State, Maryland, Syracuse, Mississippi, Arkansas, Arizona State,
Clemson, Colorado; 1/2 - Rutgers, Lafayette, Stanford, Army |