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If you block a lot shots, you also change a lot of shots. There is no stat on changed shots (or perhaps just no way to measure it). Also since shot blocking tends to happen close to the basket it means the opponents shoot more shots from further away. Shots closer to the basket are easier than shots from further away.
So the true effectiveness of shot blocking may not show up in the box score. I suppose, one could look at the number of shots blocked in a game --or the percentage of shots blocked-- and compare it the shooting percent of the opponent. If there is a correlation that shows more shots blocked lowers shooting percentages, that might be a way to quantify the impact of shot blocking.
So the true effectiveness of shot blocking may not show up in the box score. I suppose, one could look at the number of shots blocked in a game --or the percentage of shots blocked-- and compare it the shooting percent of the opponent. If there is a correlation that shows more shots blocked lowers shooting percentages, that might be a way to quantify the impact of shot blocking.