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Re: "standard error" of OPR values
There are two types of error:
The first is the prediction residual which measures how well the OPR model is predicting match outcomes. In games where there is a lot of match-to-match variation, the prediction residual will be high no matter how many matches each team plays.
The second is the error in measuring the actual, underlying OPR value (if you buy into the linear model). If teams actually had an underlying OPR value, then as teams play 10, 100, 1000 matches the error in computing this value will go to zero.
So, the question is, what exactly are you trying to measure? If you want confidence in the underlying OPR values or perhaps the rankings produced by the OPR values, then the second error is the one you want to figure out and the prediction residual won't really answer that. If you want to know how well the OPR model will predict match outcomes, then the first error is the one you care about.
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