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I read an article by Bill James in one of his books. He did an experiment with the 1935 Cubs and their lineup. He had the lineup the Cubs used and simulated a bunch of full seasons to get their production. After that, he inverted the lineup and did the same thing. He saw that the results were almost the same. In fact, the inverted lineup only produced, I think, about 1/2 run less per game.
It's not where the player bats, it's what they produce that matters.
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