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AirHockeyWorld Rating

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What does "AirHockeyWorld Rating" mean?

The AirHockeyWorld Rating is a system based on the fairly popular Elo Rating system (Wiki entry) that was implemented by Air Hockey in 2007. It was created and is being maintained by Illinois air hockey player and promoter Goran Mitic.

Competitive Air Hockey players around the world are adopting this rating method to help create a worldwide rating system of active air hockey players. This rating system allows players that have never before played in a serious Air Hockey tournament to become involved in the Air Hockey organzation by playing five best-of-7 sets of competitive Air Hockey.

The rules for the AirHockeyWorld Rating System are still in the development stages, but are currently as follows:

Rating' = Rating + Value Of Match * (Set Won or Lost - Win Expectancy)

Rating' = New rating
Rating = Old rating
Value of match = (see chart below)
Set Won Or Lost = 1 for win, 0 for loss
Win Expectancy = Percentage of times the player is expected to beat his/her opponent (see chart below)

Value of Match
National Tournament = 90
State Tournament = 60
Challenge Set = 30
USAA Challenge Match = 30 for each set, and then an additional calculation is done for the whole match at a value of 90.

If the winner of the match has a rating of 2000 or greater, only use 1/2 of the standard Value of Match.

Spinoff matches in tournaments only use 1/3 of the standard Value of Match.

Win Expectancy for higher rated player
Rating Difference		�	Rating Difference		�
From	To	Win Expectancy	From	To	Win Expectancy
0	6	0.5	202	210	0.76
7	13	0.51	211	219	0.77
14	20	0.52	220	229	0.78
21	28	0.53	230	239	0.79
29	35	0.54	240	250	0.8
36	42	0.55	251	261	0.81
43	49	0.56	262	272	0.82
50	56	0.57	273	283	0.83
57	64	0.58	284	295	0.84
65	71	0.59	296	308	0.85
72	79	0.6	309	321	0.86
80	86	0.61	322	334	0.87
87	94	0.62	335	350	0.88
95	101	0.63	351	365	0.89
102	109	0.64	366	382	0.9
110	116	0.65	383	400	0.91
117	124	0.66	401	421	0.92
125	132	0.67	422	443	0.93
133	140	0.68	444	469	0.94
141	148	0.69	470	500	0.95
149	157	0.7	501	537	0.96
158	165	0.71	538	588	0.97
166	174	0.72	589	676	0.98
175	183	0.73	677	799	0.99
184	192	0.74	800	and more	1
193	201	0.75

The win expectancy for the lower rated player is (1 - Win Expectancy of the Higher Rated Player). So, if one person is rated 1400 and one is rated 1200, the higher rated player has a win expectancy of .75 and the lower rated player has a win expectancy of .25.

Rules:
You must play 5 different players with at least 1 player having an official rating to earn an official rating. Until you have an official rating, your rating is "provisional". When a player with an official rating and a player with a provisional rating play a match, only the rating of the player with the provisional rating will be affected.

After 2 years of inactivity players with a rating total of more than 1200 will lose 10% of the difference of their rating and 1200. This does not have any affect on the calculations of prior matches.

After 2 years of inactivity the player will be dropped from the rating list. If the player plays after they drop they will be treated as a new player. This does not have any affect on the calculations of prior matches.

Examples

Example 1: Player A has a rating of 1200 and Player B has a rating of 1200. They are both expected to win 50% of the time, based on their rating.

If player A wins a challenge set his new rating would be 1215 (1200 + 30(1-.5)) and player B would have a new rating of 1185 (1200 + 30(0-.5)).

Example 2: Player A has a provisional rating of 1275 and Player B has an official rating of 1200. Player A is expected to win 60% of the time.

If player A wins a challenge set his new rating would be 1287 (1275 + 30(1-.60)) . Player B's rating would not be affected, since player A has a provisional rating.

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