I've heard a lot of "private offices are massive 200-300% boosts to productivity claims" in this thread, but I've never seen any actual evidence further than "I feel it gets more done".
I agree that saying you're 200%-300% more productive is hyperbole, but there are studies indicating that you're significantly more likely to be sick enough to call into work with an open office [1], and that doesn't even count the people who "power through" their sickness, working somewhat sub-optimally (since that would probably be harder to measure).