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Chess skill, rating, Elo; these are all terms we use to measure chess strength. But when we talk of real chess ability, is the Elo rating system alone sufficient? The Elo rating system only looks at comparative quotient between chess players. Does it examine chess strength at the individual level? My system, as detailed below, does.
My system of individual chess strength evaluation incorporates the following:
1.No. of pieces on the board
2.Positional complexity. (How complex in positional and tactical terms is the chess position?)
3.Individual move strength (e.g 0.02, 1.4 etc)
1.No of pieces on the board
The more pieces there are on the chessboard, the more variations must be calculated. Therefore, the various stages of the chess game must be taken into account. How well did the chess player calculate variations per no. of pieces? This value is then allocated an arbitrary constant, k.
k = Chess calculation accuracy / No. of chess peices on chessboard
2.Positional Complexity Quotient
During the course of a chess move, a chess player analyses the positional aspects of the chess game. The ability to analyse simple to complex positions, (e.g a simple positional choice like a back rank mate, versus the positional reasoning power that led to Kasparov's famous 15. Rxe4!! vs. Topalov in Linares 2000.
The total no. of positions, varying in complexity, that a player encounters during a chess tournament must be thus calculated to ensure accurate positional/tactical strength calculation. In practice, this could be done via chess software similar to the ones like elometer.net, that calculate individual positional chess strength.
3.Strength Per Move
The strength per move can be added to the above sum, for accuracy.
So the overall equation to calculate chess strength per move is
(k x Positional Complexity Quotient x Strength Per Move)
I devised this system on the spur of the moment! Would welcome your suggestions and feedback.