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by Kimberly on April 30th, 2004

Kimberly

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What does PCT stand for?

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  • by Borameer on May 8th, 2004

    Borameer

    Pythagorean Winning Percentage [PPct]

    Developed by Bill James, is the predicted winning percentage based on runs and runs allowed. The formula is as follows: Runs^2/(Runs^2+Runs Allowed^2)

    Here is the calculation for the 1999 Yankees. The Yankees scored 900 runs and allowed 731 runs:

    900^2/(900^2+731^2)=.603

    Thus, the Yankees would be predicted to have a .603 winning percentage. In actuality, the Yankees had a .605 winning percentage. A more precise calculation uses a factor of 1.83, but a factor of two works almost as well. From Pythagorean winning percentage it is possible to figure Pythagorean wins (PW) and Pythagorean losses (PL).

    Source - http://www.netshrine.com/statglossary.html

    Comments

    • Very good but how does that formula have anything to do with Pythagoras?

      syberianbull

      by syberianbull on June 18th, 2005

    • The Pythagorean Theorem states that a^2 + b^2 = c^2 (In any right triangle, the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares whose sides are the two legs). Ignoring the triangle bit, apparently James just happened to notice that there was a correlation between teams' wins and the equation and he derived this formula for the percentage. I found out more from the wikipedia entry:
      http://en.wikipedia.org/wiki/Pythagorean_expectation

      ultimatelibrarian

      by ultimatelibrarian on July 23rd, 2009

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