Quote:
Originally Posted by wgardner
For 1 tournament, you have a single estimate of each element of OPR. There is no standard error..
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There is a standard error for the OPR estimate for a single tournament. That standard error tells you the probability range that your estimate falls within making some fundamental assumptions. The assumption about the normality distribution derives from the Central Limit Theorem. The OPR is essentially an estimate of the average point contribution across all of the matches in the tournament. The OPR itself assumes that in a perfect world the robot would contribute the same in each match which of course isn't true. The variation in the contribution in each match (which we don't always observe directly) is the source of the standard error.