An article by Alain Haché, Ph.D and Pierre P. Ferguson, M.Sc from the physics of hockey website discussed how a goalie does when faced with a lot of shots.
For a 20-30 shot game a goalie does not get weaker as he faces more shots, in fact the goalie's save percentage goes up the more shots he faces up to a certain number. So the question then becomes is it better for a team to let its goalie face more shots in order to have a higher save percentage? Well even though a goalie's save percentage from 20 shots to 30 shots increases by 0.007 percent; from their charting of the data 10 more shots means one more goal per game. So even though the percentage goes up so does the number of goals.
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