Pythagorean Expectation

The Pythagorean Expectation in baseball calculator estimates how many games a baseball team "should" have won based on the number of runs they scored and allowed.

INSTRUCTIONS: Enter the following:

• (RS) Runs Scored 
• (RA) Runs Allowed

Pythagorean Expectation (PE): The calculator returns the statistic.

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"= 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

• Stolen Base Percentage
• On-base Percentage
• Slugging Percentage
• On-base Plus Slugging
• Times on Base
• Earned Run Average
• Batting Average
• Equivalent Average
• Defense-Independent Component ERA
• Fielding Independent Pitching
• Total Average
• Batting Average Against
• Range Factor
• Fielding Percentage
• Pythagorean Expectation
• Base Running Speed
• Bases per Plate Appearance

Baseball Base Separation:

• Major League Baseball Base Separation
• College Baseball Base Separation
• High School Baseball Base Separation
• Bronco League Base Separation
• Mustang League Base Separation
• Pinto League Base Separation
• Shetland League Separation
• Little League Base Separation

References

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