Just to clarify, what do you mean by “actual ability’? In something like the 100 m dash, I can think of “actual ability” as finish time. We could construct an Elo rating based on head-to-head races of thousands of sprinters, and it wouldn’t be a log scale of finish times. Do you just mean percentile in the human distribution?
Just to clarify, what do you mean by “actual ability’? In something like the 100 m dash, I can think of “actual ability” as finish time. We could construct an Elo rating based on head-to-head races of thousands of sprinters, and it wouldn’t be a log scale of finish times. Do you just mean percentile in the human distribution?
Yes (within some approximation. Weird things happen for very large or very small Elo values.)