Offensive Power Ratings have been updated for the SBPLI, BAE and GTR regionals. They do not include elimination rounds; elimination rounds foul up the "random" sample of the qualifying schedule.
Both of these rating systems are based on linear algebra. In both cases a matrix M (based on the schedule of the event) maps a vector v of average scores to the vector of ratings Mv. The difference is how the matrix M is defined.
I am partial to OPRs because you do not lose any information with them. Given the OPRs and the schedule from a regional, you can in fact figure out the average scores for each team in the regional
. Not so for scaled scores. With scaled scores, if you increase the scores in every match by one point, the scaled scores won't change. With OPRs, if you increase the scores in every match by one point, each team's offensive power rating will increase by 1/3 of a point.
