Inspired by a post by
sw293 in one of my long-past stats threads from 2006, I re-implemented his/her Offensive Power Rankings algorithm. Essentially, it tries to determine approximately how much each team, on average, contributed to their alliance.
You can see the math behind it detailed here:
http://www.chiefdelphi.com/forums/sh...0&postcount=19.
In essence, it looks at a team's accumulated score over the course of a weekend as a sum of the offensive power ratings of all the other teams, multiplied by the number of times that team was paired with each team.
Example: 1565's first match at GTR was with 2198 and 1870, and they played 8 matches total. The '...' would be all their other alliance partners through qualifying, multiplied each time by how many times they were allied with them.
TotalScore(1565) = OPR(1565)*8 + OPR(2198)*1 + OPR(1870)*1 + ...
Once you arrange the scores of all the teams from a regional in this way, then you end up with N equations (one big sum of scores per team) and N unknowns (the offensive power ratings). This can be solved to find out the OPRs.
Without further ado, here they are for GTR. I'll be doing other regionals in the very near future.