The best I remember of some real life studies of batting orders, is that in the end it doesn't make a whole lot of difference. Of course, the closer to the top of the lineup, the more PAs that player will get. Basketcal, I often change my lineups based on how they are doing in the sim. Once I couldn't get Mark McGwire to hit from the 3rd or 4th spot, so I moved him to leadoff, and boom, off to a championship. The wis Gods should be respected. Therefore, BE superstitious and serve chicken to Wade Boggs and never step on the base line.
btw, for all you OBPers out there, the point of Moneyball (the book) is not that OBP is the king of stats, it that it was under-valued at the time. Personally I believe that batting average is a more important stat than OBP because you can't drive in a run with a walk unless the bases are loaded (a very small pct of the time) and batting average is actually the largest part of OBP. Don't get me wrong, I like OBP, and walks, and the by-product which is raising the pitch count and inching toward middle -relief and bash-ball time.
But it turns out Billy Beane isn't the greatest GM in the history of the world. In Moneyball (the movie), they don't bother to mention the real reason the A's had a good season (Hudson, Zito, Mulder), or that because of Beane's obsession with OBP (Haittesburg), he traded away Carlos Pena, who is still playing yes?
But I digress.