One final note from Jack Moore at Fangraphs:
"When it comes to sabermetric studies, no single item sees more energy expended with less gain than the analysis of batting orders. The Book basically opened and shut the door on the issue: the best three hitters should bat first, second, and fourth, but even the most egregious of lineup errors won’t cost a team more than a win. It’s also more important to split lefties to avoid LOOGYs than it is to get that perfectly chained lineup."