Editing Pythagorean expectation (section)

==Use in basketball==
American sports executive [[Daryl Morey]] was the first to adapt James' Pythagorean expectation to professional basketball while a researcher at [[STATS, Inc.]] He found that using 13.91 for the exponents provided an acceptable model for predicting won-lost percentages:

:<math>\mathrm{Win\ Ratio} = \frac{\text{points for}^{13.91}}{\text{points for}^{13.91} + \text{points against}^{13.91}}.</math>

Daryl's "Modified Pythagorean Theorem" was first published in ''[http://morey.org/pythbook.gif STATS Basketball Scoreboard, 1993–94]''.<ref>{{cite book |last1= Dewan |first1= John |first2= Don|last2= Zminda|author3= STATS, Inc. Staff |title= [[STATS Basketball Scoreboard, 1993-94]] |publisher= [[STATS, Inc.]] |date=October 1993 |isbn= 0-06-273035-5|page= 17}}</ref>

Noted basketball analyst [[Dean Oliver (statistician)|Dean Oliver]] also applied James' Pythagorean theory to professional basketball. The result was similar.

Another noted [[basketball statistician]], [[John Hollinger]], uses a similar Pythagorean formula, except with 16.5 as the exponent.