Baseball Pythagorean Win Expectancy
Pythagorean Win Expectancy is an estimate of how many games a team should win based upon runs scored and runs allowed.
Pythagorean Win Expectancy equals the runs scored to the 1.83 power divided by the sum of runs scored and runs allowed, each taken to the 1.83 power.
Formula
![QuantityVariable["PWE", "Unitless"] == QuantityVariable["RS", "Unitless"]^1.83/(QuantityVariable["RA", "Unitless"]^1.83 + QuantityVariable["RS", "Unitless"]^1.83)](https://www.wolframcloud.com/objects/resourcesystem/marketplacestorage/resources/f08/f0865993-c06e-4986-9c94-2aa142453017/Webpage/FormulaImage.png "Copy to Clipboard")
| symbol | description | physical quantity |
|---|---|---|
| PWE | Pythagorean Win Expectancy | "Unitless" |
| RS | runs scored | "Unitless" |
| RA | runs allowed | "Unitless" |
Forms
Examples
Get the resource:
| In[1]:= | ![ResourceObject["Baseball Pythagorean Win Expectancy"]](images/f08/f0865993-c06e-4986-9c94-2aa142453017-io-1-i.en.gif){kind=small} |
| Out[1]= |  |
Get the formula:
| In[2]:= | ![FormulaData[ResourceObject["Baseball Pythagorean Win Expectancy"]]](images/f08/f0865993-c06e-4986-9c94-2aa142453017-io-2-i.en.gif){kind=small} |
| Out[2]= |  |
Use some values:
| In[3]:= | ![FormulaData[
ResourceObject[
"Baseball Pythagorean Win Expectancy"], {QuantityVariable[
"RS","Unitless"] -> 45, QuantityVariable["RA","Unitless"] -> 40}]](images/f08/f0865993-c06e-4986-9c94-2aa142453017-io-3-i.en.gif){kind=small} |
| Out[3]= |  |