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)