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Introduction to Chess Ratings

By Mark Weeks, About.com

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How are ratings calculated?

Already in 1959, the USCF rating system arbitrarily used 2000 as the upper level for strong club players and 200 point divisions to assign players to classes. Elo kept these measures because they were 'steeped in tradition'.

The table at the bottom of this page relates expected game results to rating differences. The P column is the expected Percentage for the result of a single game. The D column is the rating Difference corresponding to that expected result.

For example, two players with the same rating (D=0) each have a 50% (P=.50) chance of winning a game. Similarly, a player with a rating 100 points greater than an opponent (D=102 is the closest value in the table) has a 64% (P=.64) chance of winning a game.

Let's say you score +3-2=1 (three wins, two losses and a draw) against opposition with an average rating of 1500. Your score is 3.5-2.5, for a percentage of 58% (P=0.58). The value for P=0.58 in the table corresponds to D=57. Your performance is calculated as 1500 + 57 = 1557. If you had achieved the same score against opponents with an average rating of 2000, your performance would be 2057.

This method is used to calculate an initial rating for a previously unrated player. The more games used in the calculation, the more accurate the initial rating will be.

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