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BGonline.org Forums
The right way to measure which player played better in a match
Posted By: Henrik Bukkjaer In Response To: The right way to measure which player played better in a match (Timothy Chow)
Date: Friday, 3 June 2011, at 1:09 a.m.
>> To summarize, if you show me just one match and you ask me who outplayed whom in this particular match and by how much, I would use MWC as the metric. If on the other hand you ask me which player is more likely to be the stronger player in general, then I would look at PR's measured in EMG.
Again, I agree - this must be the way to look at the numbers...
BUT: Beneath your conclusion lies an assumption that a player's errors are distributed randomly in a match. That's not necessarily true. You could have a player who errs early/late in a match, etc. Take a slow player playing a clocked match. He might get you an error rate of 5 on average. But typically, this would be 4 in the early games (where he can spend plenty of time), and then 6-7-8 in the late games, where he's under time pressure, and don't have enough time to do the needed pip-counts, etc. He'd be at a great disadvantage vs. a faster player who can play the same pace throughout the game with a constant error rate of 5. The slow player would err when it's more costly. Often loosing a lot of MWC.
A nervous player could be another example. When the cube goes 4, his PR goes sky-high! And even more realistic would be players who starts to err on their cube dicisions, once the cube goes up. Eg. they double just a tad later when it's a 4-ball lying in their drawer - they want to be sure before turning it to 8. Missing doubles at a certain PR-price, is much more costly on 4-cubes then initial ones. Except for when looking at the PR. And conservative takers, who drop maybe a little too much when the stuff goes volatile - the risk averse players - will often tend to exhibit that behavior more when the price goes up. Costing even more MWC than the PR would suggest.
These are examples of error-types that will give an incorrect PR even in the long run because their MWC losses comes at certain patterns which PR by itøs nature will polish out....
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