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The AQB Ratings System Formulae
The ratings system uses the formulae presented below to calculate the new rating for both teams after each game. The parameter values are also given, and are currently the same for all sports.
For games that are non-drawn (non-tied):
Rn = Ro + R * (B + H + D * K)
Where:
Rn is the teams new rating
Ro is the teams old rating
R is the result variable:
R = +1 if the team won
R = -1 if the team lost
B is the base ratings change for any result:
B = 20
H is the home advantage variable:
H = -4 if the home team wins
H = 4 if the away team wins
H = 0 for a game played on neutral ground
D is the difference in ratings of the two teams, as follows:
D = Ro of losing team - Ro of winning team
K is the weighting applied to the ratings difference:
K = 0.05
For games that are drawn (tied):
Rn = Ro + Rd * (B + H + Dd * K)
Where:
Rd is the result variable:
Rd = 0.25 if the team was the lower rated before the game
Rd = -0.25 if the team was the higher rated before the game
Rd = 0 if both teams had the same rating before the game
Dd is the difference in ratings of the two teams, as follows:
Dd = Ro of higher rated team - Ro of lower rated team
The following general rules also apply:
- A winning teams rating will never decrease. A losing teams rating will never increase.
- In the case of a drawn (tied) result, the lower rated team will never gain a higher home-advantage-adjusted rating as a result of the game. If this would happen, both teams final home-advantage-adjusted rating (Rn) is equal to the average of the two home-advantage-adjusted ratings before the game.
- The base rating for all teams is generally 1000. Exceptions are listed in the database notes for each rating.
- Any specific alterations to the above rating system are listed in the database notes for each rating.
These pages and the AQB Ratings System are copyright Michael Cameron. All Rights Reserved. The ratings may be reproduced without permission provided they are stated as AQB Ratings and a reference to this website is made. Any enquiries may be made by e-mail to
