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Unread 19-04-2011, 00:30
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Re: paper: Championship Division Strengths

Quote:
Originally Posted by JesseK View Post
In what ways can we actually try to normalize each regional to the others with respect to OPR? At "harder" regionals the Rank Scores would be higher... is there anything discernible in averaging the two or by performing other operations using the two?

E.g. [high OPR,med RS] could be less than [med OPR, high RS] between regionals?
RS is the average of unpenalized score of your opponents if you win or your score if you lose. In a way it does show how strong the event is. Look at the RS numbers of MSC. Even the bottom ranked teams have 50s and 60s. I think the average RS number is a good indicator but the relatively small standard deviation of the RS number means that all the teams are quite even.
I think comparing the average RS number and average OPR number would be a good indication already. If we have to perform some operations using the two, I will not take the average of the two because they are unrelated. You can't average apples and oranges. If I treat the RS and OPR as vectors, I would take the dot product then divided by the number of teams. Basically multiplying RS and OPR of each team and add them up, then divided by the number of teams to get the average of the product. Actually OPR is from each team and RS is from the whole alliance so RS should be divided by 3. However if all events are calculated the same way and compared to each other, the factor of 3 does not matter.
Anybody wants to try this out?
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