毕达哥拉斯胜场计算器公式

How the Pythagorean Win Formula Works

Formula

Expected Win % = PF^exp / (PF^exp + PA^exp)

Where PF = Points For, PA = Points Against, and exp is the Pythagorean exponent.

Typical Exponents

  • MLB: 1.83
  • NFL: 2.37
  • NBA: 14
  • NHL: 2.05
  • Teams that significantly outperform their Pythagorean expectation often regress toward the expected record in subsequent seasons.

    计算示例

    NBA team: 750 points scored, 680 allowed through 82 games (exponent 14).

    1. Win % = 750^14 / (750^14 + 680^14)
    2. This evaluates to approximately 0.769
    3. Expected wins = 0.769 * 82 = 63.1 wins
    4. Expected losses = 82 - 63.1 = 18.9
    5. Avg point diff = (750 - 680) / 82 = 0.9 per game