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OOTP ratings have either a linear or a piecewise linear relationship with stats output. Most are two-part linear with the break at 100/200. So if you look, say, at the Power rating, as you increase Power by one point for someone below 100/200, his expected HR total will increase by 0.16 per 550 AB. If you increase Power by one point for someone above 100/200, his expected HR total will increase by 0.32 per 550 AB.
So because the slope change always occurs at 100/200, you would want to use that as your baseline in this kind of study. And for batters, output is normalized by AB and not by PA (the output is based on 550 AB).
For pitchers, you'll find that Control matters least for pitchers already above average, and matters most for pitchers well below average. Movement matters most for above average pitchers, though Stuff is also important. When you do study pitching, you'll need to reverse engineer the calculation of the Movement rating, since the value used by the game combines the Movement rating in the editor with the pitcher's GB%. And the Stuff rating in the Editor is what would be used for a starting pitcher. A pitcher used in relief will get a Stuff bonus depending on his repertoire.
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