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Elo Rating

Chess Video

Test Elo Calculations with the original FIDE Players Database

1. The Elo results of chess tournaments are submitted to FIDE. FIDE recalculates the Elo results and corrects them if any mistake was made down at the tournament level.

2. Then FIDE writes down and places the Elo results of each chess player for each submitted chess tournament into the FIDE Players Database - as Individual Calculations.

3. The FIDE Players Database is updated on 1 January, 1 March, 1 May, 1 July, 1 September, and 1 November. The FIDE Players Database is available online.

4. The test idea is simple: Open the FIDE Players Database, find the latest Elo calculations for any FIDE chess player and test Chess Calculator for FIDE.

5.The following is a sample of the original FIDE Players Database. The real names of the chess players are changed for Player A, Player B, Player C, and Player D.

Individual Calculations May 2011
Player A Total change: 8.85

18th Annual Western Class ChampionshipsAgoura Hills, CaliforniaUSA2011-03-11
RcRownchangeKK*chg
234723262.0030.59158.85
Player B2530PAR0.001-0.2415-3.60
Player C2121VIE1.0010.24153.60
Player D2391KAZ1.0010.59158.85
6. Below is a short explanation of the above table:
- Elo results recalculated by FIDE as of May 2011 for Player A for one chess tournament.
- You can see the name of the chess tournament, its place and country, and the start date.
- The table shows that Player A played 3 games with Player B, Player C, and Player D.
- Rc is rating average of the opponents of Player A (rating average of Players B, C, and D).
- Ro is player ratings (Player A rated 2326, Player B 2530, Player C 2121, and Player D 2391).
- w is score of Player A (2 for 3 games and then score for each game: 0, 1, and 1 again).
- n is number of games of Player A (3 games in total: 1 with Player B, 1 with Player C, etc).
- change is absolute rating change of Player A without taking into account his K-factor:
  [0.59 for 3 games: -0.24 for game 1, then 0.24 for game 2, and 0.59 for game 3]
- K*chg is real change of the FIDE chess rating of Player A:
  [8.85 (0.59x15) for 3 games: -3.60 for game 1, 3.60 for game 2, and 8.85 for game 3]

7. Test Chess Calculator for the Elo results of Player A for all 3 games as follows:
- Type: for Rating of Opponent 1: 2530 (Ro, Player B)
           for Rating of Opponent 2: 2121 (Ro, Player C)
           for Rating of Opponent 3: 2391 (Ro, Player D)
- Type for Player’s Rating:    2326 (Ro, Player A)
- Type for Player’s Score:     2 (w, Player A)
- Type for Number of Games: 3 (n, Player A)
- Select Player’s K-factor: 15 (K, Player A)
- Click Calculate or press ENTER in the program and Chess Calculator will display:
Increase: 0.59 (change, Player A - for all 3 games)
Rating Change: 8.85 (K*chg, Player A - for all 3 games)
Opponents’ Average: 2347 [Real: 2347], 2347/2347 because no rule of 400 points.

8. Test Chess Calculator for the Elo results of Player A for 1 game with Player B as follows:
- Type: for Rating of Opponent 1: 2530 (Ro, Player B), see the table
- Type for Player’s Rating:    2326 (Ro, Player A)
- Type for Player’s Score:     0 (w, Player A)
- Type for Number of Games: 1 (n, Player A)
- Select Player’s K-factor: 15 (K, Player A)
- Click Calculate or press ENTER in the program and Chess Calculator will display:
Decrease: -0.24 (change, Player A - for 1 game with Player B)
Rating Change: -3.60 (K*chg, Player A - for 1 game with Player B)
Opponents’ Average: 2530 [Real: 2530], 2530/2530 because no rule of 400 points.

9. You are welcome to test more with the original FIDE data.

10. To see the link to the FIDE Players Database, visit the Chess links page of this site and find the link in question at the very top - as the first link.

11.To see how the FIDE rating calculation system works, click Elo Calculation.
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