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Ranking is a mathematically calculated measure of winning ability, and applies to both the coach and the team. A coach or team with a ranking of over 150 is better than average at achieving results that are better than expected, given the strength of his own team and his opponents' teams. A coach or team ranked lower than 150 likewise achieves results that are worse than predicted. Opponent coach rankings are also considered, so drawing against a higher-ranked opponent with equal strength teams will improve the lower-ranked coach's ranking, and degrade the ranking of the higher-ranked coach.
First off, we define a couple of variables:
Each team starts with a ranking of 150.0 and after each game, the new Ranking is calculated as follows:
There has been a CR tweak, meaning that p in the first formula is replace by P. This new P is calculated using the old p, as follows:
P = p ^ ( 5 ^ ( 1 - 2*r ) )
As of March 4, 2007, both teams playing a match need to have played at least 4 matches for it to be used for ranking purposes.
Curious how CR relates to Rank titles?