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keisanHigh-precision calculations for everyday life and work

Pythagorean Win Rate

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Calculates the Pythagorean winning percentage for professional baseball, as well as the improved “Pythagenpat” winning percentage.
Pythagorean Winning Percentage = Runs Scored^β1 ÷ (Runs Scored^β1 + Runs Allowed^β1)
β1 = 2.00; The value typically used as the coefficient for the standard Pythagorean Winning Percentage
β1 = 1.72; The value considered appropriate as the coefficient for the NPB Pythagorean Winning Percentage
β1 = 1.83; The value considered appropriate as the coefficient for the MLB Pythagorean Winning Percentage

Pythagenpat Winning Percentage = Runs^X ÷ (Runs^X + Runs Allowed^X), where X = {(Runs + Runs Allowed) ÷ Games}^COEF
Generally, COEF = 0.285–0.287; it is reported after being fine-tuned to suit the league [Smyth/Patriot]
Number of matches
I’ll use Pythagenpat to calculate my win rate and estimated savings.
Score
Points lost
β1
Usually no need to change from 2.0
NPB=1.72, MLB=1.83
Pythagorean coefficients
Usually 0.287; no change needed
Generally 0.285–0.287
Pythagorean Win Rate Estimated Savings Amount (The value of β1 is reflected in the calculation.)
Pythagenpat Win Rate Estimated Savings Amount (The values of the Pythagorean coefficients are reflected in the calculations.)
Pythagorean Winning Percentage (NPB) Estimated Savings Amount (β1 is fixed at 1.72)
Pythagorean Winning Percentage (MLB) Estimated Savings Amount (β1 is fixed at 1.83)

Team Actual Winning Percentage Actual Win-Loss Record Pythagorean Winning Percentage Pythagorean Winning Percentage (NPB) Pythagorean Winning Percentage (MLB)
Hiroshima 0.582   23   0.551     0.549     0.544       0.547
Tokyo 0.532    9   0.495     0.495     0.495       0.495
Giants 0.486    -4   0.542     0.538     0.536       0.538
Yokohama 0.475    -7   0.443     0.447     0.451       0.447
Chunichi: 0.447  -15   0.455     0.458     0.462       0.459
Hanshin: 0.440, -17, 0.458, 0.461, 0.464, 0.461

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