A Two Dimensional Measure of Performance in Chess
18 Pages Posted: 28 Aug 2014 Last revised: 17 Nov 2014
Date Written: September 24, 2014
A two dimensional measure of chess performance is presented and it is shown to have more information and a greater power of discrimination than scalar measures because it does not rely on scoring. The scoring procedure used by scalar measures to reduce chess game outcomes from a trinomial to a binomial variable causes some chess game outcome information to be irretrievably lost.
Keywords: chess, performance, rating, Elo, FIDE, playing strength, trinomial, statistics, numerical methods, Studentized Euclidean distance, probability vector, Monte Carlo simulation, bootstrap, uncertainty
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