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A modified form of Bill James' Pythagorean formula. Instead of using a fixed exponent (2, 1.83), the Pythagenpat formula, developed by Smyth/Patriot, derives the exponent from the run environment - the more runs per game, the higher the exponent. It also improves upon a similar formula, the Pythagenport formula, developed by Clay Davenport and previously used in our Adjusted Standings calculations.
For Pythagenpat, the exponent X = ((rs + ra)/g)^.285. Although there is some wiggle room for disagreement in the exponent, that equation is simpler, more elegant, and gets the better answer over a wider range of runs scored than Pythagenport, including the mandatory value of 1 at 1 rpg. See here for more.
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