Here’s a line of reasoning using the transitive property about short hitters and small strike zones:
- If a player is shorter, then his shoulders are closer to his knees.
- If his shoulders are closer to his knees, his strike zone should be smaller.
- If his strike zone is smaller, then it should be harder for the pitcher to throw strikes.
- If it is harder to throw strikes, he should get on base more.
- Shorter players should have higher on-base percentages.
But this isn’t how it actually works. Why not?
Aaron Judge is tall and Jose Altuve is short. That’s analysis. They both are very productive at the plate. That’s deeper analysis. However, Judge gives pitchers a 25% larger strike zone to target due to his 6-foot-7 height, so he must be doing something different and better than Altuve to offset the larger area he gifts to pitchers with every pitch.Read the rest of this entry »