Definitions:
- Pythagorean Expectation, Preseason = The previous year's Real Pythagorean Expectation, with a factor of regression to the mean based on the year-to-year correlation of Real Pythagorean Expectation.
- Pythagorean Expectation, Real = Pythagorean expectation of points, based upon goals scored and goals allowed so far this season. An exponent of 1.27, derived from analysis of previous NASL seasons, is used
- Pythagorean Expectation, Bayesian = The main power ranking. Using Bayes' Theorem, updates its value accounting for new information. Begins with the preseason ranking, then updates week to week after that.
- Expected Final Points = Using the Bayesian Pythagorean Expectation, the number of points a team has already, and the possible points remaining, is found
Why am I doing a power ranking for Division II soccer league? Because it is the league Indy has a team in.
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