Interesting stuff, thanks. One concern I have about the Pythagorean projections is that it refers to how run differential translates into wins. I would think that a really good manager, someone who concentrates on matchups, uses the hit and run efficiently, etc., would also be able to generate more runs out of a given set of players. If a manager generates more runs, they ought to have more wins, even if they slightly underperform from a wins/run differential expectations. If you look at two above-average managers, the difference might come down to whose personal style best fits the ballclub. The wrong manager can wreck the whole thing, of course (see Red Sox recent history). All that said, though, as long as you have a good manager I don't think it's easy to quantify the value of the best, as you point out. That makes it easy to say we should spend the money on a stud pitcher instead, but managers almost never have Tommy John surgery and they don't cost a quarter of the payroll. So my conclusion is I'm glad I'm not a GM, I guess.