🕸📝Fergus Duniho wrote on Tue, Jan 10, 2006 06:21 PM EST:
I'm sure we are referring to two different bell curves. The Elo method
specifically tries to measure probabilities, and the probabilities fall
along a bell curve. The following page lists the probabilities associated
with various differences of Elo points:
http://www.ascotti.org/programming/chess/elo.htm
The two axes are (1) the difference between two Elo ratings and (2) the
probability that one player will defeat the other in a game.
In contrast, the GCR method correlates (1) the difference between GCR
ratings with (2) an expected total score on the games played between two
players. This relation is linear.