Chessmetrics is a system for rating chess players devised by Jeff Sonas. It is intended as an improvement over the Elo and Edo rating systems.
Chessmetrics is a weighted average of past performance. [1] The score considers a player's win percentage against other players weighted by the ratings of the other players and the time elapsed since the match. A 10% increase in performance is equivalent to an increase of 85 rating points.
The weighting of previous matches digresses linearly from 100% for just-finished matches to zero for matches conducted more than two years ago.
Performance rating adjustment after tournament:
Performance Rating = Average Opponents' Rating + [(PctScore - 0.50) * 850]
Weighting of past tournaments (age in months):
100% * (24 - age)
In 2006 economists Charles C. Moul and John V. C. Nye used Chessmetrics to determine the "expected" results of games, and wrote:
Ratings in chess that make use of rigorous statistics to produce good estimates of relative player strength are now relatively common, but comparing ratings across different time periods is often complicated by idiosyncratic changes (cf. Elo, 1968 for the pioneering discussion). Sonas uses the same rating formula throughout our sample and updates this rating monthly instead of annually, as is more common. Moreover, retrospective grading allows him to establish rankings that are unbiased estimates of the "true" relative strengths of players. [2]
The system has also been described as "the most complete and resounding attempt made to determine the best chess player in history". However, the system is more accurate in measuring a player's success in competition than quality of play. [3]
The original article on Chessmetrics was published in Chessbase in October 2002. [4] Since then, Chessmetrics has become reasonably well known and features numerous articles in Chessbase and The Week in Chess. [5]
Chess author John L. Watson has also referred to Chessmetrics numbers.
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Jeff Sonas is a statistical chess analyst who invented the Chessmetrics system for rating chess players, which is intended as an improvement on the Elo rating system. He is the founder and proprietor of the Chessmetrics.com website, which gives Sonas' calculations of the ratings of current players and historical ratings going back as far as January 1843. Sonas has written dozens of articles since 1999 for ChessBase.com and other chess websites. He was a participant in the FIDE ratings committee meeting in Athens, Greece in June 2010.
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A chess rating system is a system used in chess to estimate the strength of a player, based on their performance versus other players. They are used by organizations such as FIDE, the US Chess Federation, International Correspondence Chess Federation, and the English Chess Federation. Most of the systems are used to recalculate ratings after a tournament or match but some are used to recalculate ratings after individual games. Popular online chess sites such as chess.com, Lichess, and Internet Chess Club also implement rating systems. In almost all systems, a higher number indicates a stronger player. In general, players' ratings go up if they perform better than expected and down if they perform worse than expected. The magnitude of the change depends on the rating of their opponents. The Elo rating system is currently the most widely used. The Elo-like ratings systems have been adopted in many other contexts, such as other games like Go, in online competitive gaming, and in dating apps.
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The World Football Elo Ratings are a ranking system for men's national association football teams that is published by the website eloratings.net. It is based on the Elo rating system but includes modifications to take various football-specific variables into account, like the margin of victory, importance of a match, and home field advantage. Other implementations of the Elo rating system are possible and there is no single nor any official Elo ranking for football teams.