This is something I've been wondering for awhile now and I was hoping that some people on this board would be able to shed light on it. This namely has to do with two related ideas in conventional wisdom: balance in the rotation and balance in the lineup.
In terms of conventional wisdom, typically managers try to stagger the lineup so that they can get a decent balance of left handed and right handed hitters (LRLR, etc). Also, there is the notion of breaking up a mainly right-handed rotation by inserting a lefty into one of the slots in order to keep the rotation from being too right-handed, as it were.
My questions are relatively simple. Is there any statistical evidence to back these ideas up in terms of their effectiveness? Or is this just a matter of a misinformed perception that has come to dominate philosophies in baseball?
In other words, if you have a lineup that is comprised only of right-handers and a rotation that has RHPs 1-5, can your team be just as successful (if not moreso) as a team that has a balance between lefties and righties?