In memory of
3© Copyright 2020 Paul Kislanko
BMaj is the Bucklin Majority ranking. It is the worst rank for which more than half of the computers rank the team at that rank or better. When there are an odd number of computer rankings, this is just their median. When there is an even number, it is the next rank worse than the arithmetic median.Borda is the Borda count method. BordaCnt is the sum of the # of teams ranked worse than the team over all "ballots." With a 305 team field, this is 304 points for a #1 rank, 303 for a #2, etc. down to 0 for a #305. This is the same order as the arithmetic average of the computer ratings, and would be the same as the Massey Composite if his did not include the non-computers.
Cond is the Condorcet method. Each team is compared pairwise to each other team and assigned a pairwise win if it is ranked higher than the other team by a majority of the computers. PWrec is the pairwise record which determines the composite rank.
MComp is just the composite as reported by Dr. Massey.
The table at the end is a measure of how similar the ratings are based upon the "distance" between two ordered lists. This is defined by the number of team-pairs that are in different orders in two lists out of the 46,360 team-pairs for 305 teams. I order all of the rankings based on the sum of distances across all the computer ratings, so the order of the list shows which have the higher measure of "consensus."
There is a little more explanation at my Football ratings analysis page.
GMean is just the geometric mean of the computer rankings. That gives more weight to better rankings.
In memory of
3© Copyright 2020 Paul Kislanko