"Everyone who makes reaction-time
experiments
for the first time is surprised to find how little he is master of his
own movements, so soon as it becomes a question of executing them with
a maximum of speed. Not only does their energy lie, as it were, outside
the field of choice, but even the time in which the movement occurs
depends
only partly upon ourselves. We jerk our arm, and we can afterwards tell
with astonishing precision whether we have jerked it quicker or slower
than another time, although we have no power to jerk it exactly at the
wished-for moment." in Pflüger's Archive 8:526.
where T = performance time, P = practice trials, a,b are constants
this is the power law of learning because practice trials is raised to bth power