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Pythagorean expectation, American pro football game

작성자 Uploader : ezmath 작성일 Upload Date: 2016-05-30변경일 Update Date: 2016-05-30조회수 View : 579

Pythagorean expectation is a formula invented by Bill James to estimate how many 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 evaluate how lucky that team was (by examining the variation between the two winning percentages). The name comes from the formula's resemblance to the Pythagorean theorem.

The basic formula is:

W = S^2 / (S^2 + A^2)
W : Winning ratio
S : Runs scored
A : Runs allowed

The formula has also been used in pro football by football stat website and publisher Football Outsiders, where it is known as Pythagorean projection. The formula is used with an exponent of 2.37 and gives a projected winning percentage.

W = S^2.37 / (S^2.37 + A^2.37)

*** 참고문헌[References] ***

https://en.wikipedia.org/wiki/Pythagorean_expectation

W = S^2.37 / (S^2.37 + A^2.37)


변수명 Variable	변수값 Value	변 수 설 명 Description of the variable

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Pythagorean expectation, American pro football game

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