Pythagorean Expectation

Win = \frac{1}{1 + {(\frac{R A}{R S})}^{2}}

$"Win" = 1/(1+(( RA )/( RS ))^2)$

(R S) Runs Scored

$(RS)"Runs Scored"$

(R A) Runs Allowed

$(RA)"Runs Allowed"$

The Math / Science

The Pythagorean Expectation is a formula 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 Pythagorean Expectation formula is:

$Win = \frac{1}{1 + {(\frac{R A}{R S})}^{2}}$ $"Win"= 1/(1+((RA)/(RS))^2)$

where:

Win = Number of game that should have been won.
RS = number of runs scored (times reached home plate safely)
RA = number of runs allowed

Baseball Stats Calculators

Baseball Base Separation:

References

Wikipedia (https://en.wikipedia.org/wiki/Pythagorean_expectation and https://en.wikipedia.org/wiki/Baseball_statistics)