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Pythagorean expectation is a sports analytics formula devised by Bill James to estimate the percentage of games a baseball team "should" have won based on the number of runs they scored and allowed. Comparing a team's actual and Pythagorean winning percentage can be used to make predictions and evaluate which teams are over-performing and under-performing. The name comes from the formula's resemblance to the Pythagorean theorem. The basic formula is:

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  • Pythagorean expectation is a sports analytics formula devised by Bill James to estimate the percentage of games a baseball team "should" have won based on the number of runs they scored and allowed. Comparing a team's actual and Pythagorean winning percentage can be used to make predictions and evaluate which teams are over-performing and under-performing. The name comes from the formula's resemblance to the Pythagorean theorem. The basic formula is: where Win Ratio is the winning ratio generated by the formula. The expected number of wins would be the expected winning ratio multiplied by the number of games played. (en)
  • ピタゴラス勝率(ピタゴラスしょうりつ、Pythagorean expectation)は、得点と失点からチームの勝率を予測するセイバーメトリクスの計算式である。チームの実際の勝率とピタゴラス勝率を比較する事で、どのくらい幸運であったかの検証も出来る。この名称はピタゴラスの定理と数式が類似しているところから来ている。PECOTAシステムやWARでもこの式を元に勝率を予測している。 (ja)
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  • ピタゴラス勝率(ピタゴラスしょうりつ、Pythagorean expectation)は、得点と失点からチームの勝率を予測するセイバーメトリクスの計算式である。チームの実際の勝率とピタゴラス勝率を比較する事で、どのくらい幸運であったかの検証も出来る。この名称はピタゴラスの定理と数式が類似しているところから来ている。PECOTAシステムやWARでもこの式を元に勝率を予測している。 (ja)
  • Pythagorean expectation is a sports analytics formula devised by Bill James to estimate the percentage of games a baseball team "should" have won based on the number of runs they scored and allowed. Comparing a team's actual and Pythagorean winning percentage can be used to make predictions and evaluate which teams are over-performing and under-performing. The name comes from the formula's resemblance to the Pythagorean theorem. The basic formula is: (en)
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  • ピタゴラス勝率 (ja)
  • Pythagorean expectation (en)
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