Ratings Percentage Index - Extended Example

Extended Example

Assume the following game results:

Here is the calculation of the WPs, OWPs, and OOWPs for each team:

WP

Memphis: (0.6 + 0.6 + 1.4 + 0) / (0.6 + 0.6 + 1.4 + 0.6) = 0.8125

North Carolina: (0 + 0.6 + 1.4) / (0.6 + 0.6 + 1.4) = 0.7692

Maryland: (0 + 0.6) / (0.6 + 0.6) = 0.5000

Wake Forest: (0 + 0 + 0) / (1.4 + 0.6 + 1.4) = 0.0000

OWP

Memphis: ((North Carolina 1.0) + (North Carolina 1.0) + (Maryland 1.0) + (Wake 0)) / (4 games) = 0.7500

North Carolina: ((Memphis 1.0) + (Memphis 1.0) + (Wake 0.0)) / (3 games) = 0.6667

Maryland: ((Memphis 0.6667) + (Wake 0.0)) / (2 games) = 0.3333

Wake: ((Memphis 0.6667) + (Maryland 0.0) + (North Carolina 0.5)) / (3 games) = 0.3889

OOWP

Memphis: ((North Carolina 0.6667) + (North Carolina 0.6667) + (Maryland 0.3333) + (Wake 0.3889)) / (4 games) = 0.5139

North Carolina: ((Memphis 0.7500) + (Memphis 0.7500) + (Wake 0.3889)) / (3 games) = 0.6296

Maryland: ((Memphis 0.7500) + (Wake 0.3889)) / (2 games) = 0.5694

Wake: ((Memphis 0.7500) + (Maryland 0.3333) + (North Carolina 0.6667)) / (3 games) = 0.5833

These are then combined via the formula

RPI = (WP * 0.25) + (OWP * 0.50) + (OOWP * 0.25)

resulting in the following ratings:

Memphis: 0.7066

North Carolina: 0.6830

Maryland: 0.4340

Wake Forest: 0.3403