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#101
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That would be the case. But it also extremely unlikely. If one group of players is higher rated than another, then they'd very likely shoot better scores.
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#102
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Have you ever noticed that most criticisms of the ratings start with an impossibly unlikely scenario, then claim ratings are broken because they wouldn't work in that scenario?
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#103
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__________________________________________________ __________________ All in all, there is no reason to get rid of ratings. They accurately do what they are designed to do. The reason so many players don't like them is
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#104
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Can you provide an example?
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#105
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Would it matter?
If, for example, for a give round, the ratings are 20 points off what they "should" be (whatever that is). After 4 rounds of a tournament, that's an effect of 5 points. After 10 tournaments, that would skew each player's rating by about a half point. And that's if all of the other rounds are "accurate" (whatever that is). Odds are, if some are a tad high, some are a tad low, and they'll offset, so the effect of a given aberrant round is even less. |
#106
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#107
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Yes, yes I have noticed...
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#108
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Mathematically...it's....possible...that's.....the ......flaw.
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#109
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Good thing we live in the real world and not inside a random number generator.
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#110
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This is a hard concept to explain, but the example discussed here--a field of 800 rated players shooting the same score as a field of 1000-rated player--does not expose a flaw in the round rating system. Here's my best shot at a clear explanation:
Round ratings, like all statistics, are an estimate rather than a clearly observable and defined phenomena. Your round rating on any particular day isn't an exact figure, it's just the best estimate of how good your round was, based on the data. As more and more data comes in, the estimate will get more and more accurate until it's essentially perfect. If a statically impossible event occurs--and an entire field of rec players averaging the exact same scores as McBeth, Mcmahon, Wysocki, Heimburg, and Dickerson is certainly impossible--the statistic based on that event will indeed produce a wildly inaccurate estimate. But this doesn't invalidate the field of statistics. For example, imagine you wanted to create a statistic that measured the number of eyes that a person has but you only used 18th century pirates as your sample population. Your statistic would estimate that people have an average of 1.0000 eyes per person, which is of course a little low. The problem isn't the statistic though, the problem was a weird and unrepresentative data set. As more and more data comes in, the estimate will better and better, Did that make sense? No? We really need a statistics teacher in here.
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