For each player, let be the number of tournament games
the player has competed, or, for unrated players, the value
assigned from Step 1 of the algorithm.
Let be the player's pre-event rating, or, for unrated
players, the imputed rating assigned from Step 1.
Let
(1) |
Example: Suppose a player's pre-event rating is based on games. Then according to the formula above,
N* = 50/sqrt(1 + (2200-1700)^2/100000) = 50/sqrt(3.5) = 26.7
Consequently, the value of is the smaller of and , which is therefore . So the effective number of games for the player in this example is .