Pythagorean expectation portrays what a team's winning percentage "should" be given it's runs scored and allowed.

1 | ```
pyth(rs, ra, alpha = 2)
``` |

`rs` |
Runs Scored |

`ra` |
Runs Allowed |

`alpha` |
Exponent to use |

2 and 1.83 are the most common exponents used. 1.83 is the exponent baseball-reference uses in its calculations.

Returns a value equal to (rs^alpha)/(rs^alpha + ra^alpha)

Pythagorean expectation can be used in a multitude of sports like basketball and football

Peter Xenopoulos

http://www.fangraphs.com/library/principles/expected-wins-and-losses/ https://en.wikipedia.org/wiki/Pythagorean_expectation

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