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Career ratings for: Williams, Paul

  Date of rating  

World Rank Rating +/- Age
01/31/1997#3526221371
02/28/1997#3538221471
03/31/1997#3604221271
04/30/1997#3638221071
05/31/1997#3666220771
06/30/1997#3642220971
07/31/1997#3633221071
08/31/1997#2940225974
09/30/1997#2983225674
10/31/1997#2996225774
11/30/1997#2929225974
12/31/1997#2948225974
01/31/1998Inactive220381
02/28/1998Inactive220481
03/31/1998Inactive220481
04/30/1998Inactive220481
05/31/1998Inactive220281
06/30/1998Inactive220381
07/31/1998Inactive220481
08/31/1998Inactive225284
09/30/1998Inactive224984
10/31/1998Inactive224984
11/30/1998Inactive225184
12/31/1998Inactive225084
01/11/1999Inactive225184
01/18/1999Inactive225184
01/25/1999Inactive225184
08/23/1999Inactive221076
08/30/1999#3079223069
09/06/1999#2543226970
09/13/1999#2548226970
09/20/1999#2548226970
09/27/1999#2555226970
10/04/1999#2545226870
10/11/1999#2561226870
10/18/1999#2584226870
10/25/1999#2588226870
11/01/1999#2510226870
11/08/1999#2512226870
11/15/1999#2520226870
11/22/1999#2532226870
11/29/1999#2543226870
12/06/1999#2477227070
12/13/1999#2481227170
12/20/1999#2481227070
12/27/1999#2489227070
01/03/2000#2491227270
01/10/2000#2495227270
01/17/2000#2507227370
01/24/2000#2512227370
01/31/2000#2512227470
02/07/2000#2836223171
02/14/2000#2835223171
02/21/2000#2852223271
02/28/2000#2864223171
03/06/2000#2859223071
03/13/2000#2872222971
03/20/2000#2877222971
03/27/2000#2873223071
04/03/2000#2869222971
04/10/2000#2864222771
04/17/2000#2879222771
04/24/2000#2888222771
05/01/2000#2886222871
05/08/2000#2880222571
05/15/2000#2883222771
05/22/2000#2894222671
05/29/2000#2898222671
06/05/2000#2893222671
06/12/2000#2908222571
06/19/2000#2939222571
06/26/2000#2938222571
07/03/2000#2948222571
07/10/2000#2905222771
07/17/2000#2916222771
07/24/2000#2931222771
07/31/2000#2943222771
08/07/2000#2932222771
08/14/2000#2933222771
08/21/2000#2937222771
08/28/2000#2946222774
09/04/2000Inactive222479
09/11/2000Inactive226480
09/18/2000Inactive226480
09/25/2000Inactive226480
10/02/2000Inactive226380
10/09/2000Inactive226180
10/16/2000Inactive226080
10/23/2000Inactive226080
10/30/2000Inactive226080
11/06/2000Inactive226080
11/13/2000Inactive226080
11/20/2000Inactive226280
11/27/2000Inactive226280
12/04/2000Inactive226480
12/11/2000Inactive226780
12/18/2000Inactive226880
12/25/2000Inactive226980
01/01/2001Inactive226980
01/08/2001Inactive226980
01/15/2001Inactive227080
01/22/2001Inactive227080
01/29/2001Inactive227180
02/05/2001Inactive227180
02/12/2001Inactive222781
02/19/2001Inactive222881
02/26/2001Inactive222781
03/05/2001Inactive222581
03/12/2001Inactive222481
03/19/2001Inactive222381
03/26/2001Inactive222481
04/02/2001Inactive222581
04/09/2001Inactive222581
04/16/2001Inactive222381
04/23/2001Inactive222281
04/30/2001Inactive222281
05/07/2001Inactive222281
05/14/2001Inactive222281
05/21/2001Inactive222081
05/28/2001Inactive222081
06/04/2001Inactive222081
06/11/2001Inactive222181
06/18/2001Inactive222081
06/25/2001Inactive222181
07/02/2001Inactive222281
07/09/2001Inactive222181
07/16/2001Inactive222381
07/23/2001Inactive222381
07/30/2001Inactive222381
08/06/2001Inactive222381
08/13/2001Inactive222381
08/20/2001Inactive222481
08/27/2001Inactive222381
09/03/2001Inactive222385

These ratings, calculated for Williams, Paul, incorporate all games (against rated opponents) played in the year before the "Date of rating", along with the ratings that were already calculated one year previously. If a player has an insufficient number of games in recent years, there may be gaps in the list, even though you may see ratings listed on previous and/or subsequent dates. Whenever a player has played no rated games for three straight years, or dies, they are removed from the list.

Definition of columns in the above list:

Date of rating is the "effective date" of the rating. The rating calculation does not include any games occurring after the "Date of rating".

World Rank refers to the player's world rank on that date.

Rating is the calculated rating for the player, as of the "Date of Rating". This represents the player's estimated strength on the following day.

+/- is the standard deviation of the player's rating estimate. It is based on a geometric average of the number of rated games played in past years. Players who play very frequently will have a smaller +/- value, indicating a greater confidence in the accuracy of their rating. Players whose +/- value exceeds 76 are classified as "Inactive" due to their infrequent play against rated opponents. Mathematically, a player's rating is an estimate of their exact strength on the day after the "Date of Rating". The +/- value represents the standard deviation of that estimate; the player's true strength on that date should be within one standard deviation of their calculated rating approximately 68% of the time, and within two standard deviations of their calculated rating approximately 95% of the time.

Age is the player's exact age in years, on the "Date of Rating". If a player's age is displayed as a link, that means that this rating was active at the time of their next birthday. Click on the link to see the sorted list of all players' ratings on their birthdays when turning that same age.

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