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Data regarding ABT open players' PR - Part 2

Posted By: David Presser
Date: Monday, 1 December 2014, at 6:41 a.m.

In Response To: Data regarding ABT open players' PR - Part 2 (Timothy Chow)

Your comment refers to 2014 where 5 matches were in the 3-4 PR range, and 3 matches were in the 4-5 PR range. I tracked the 5 matches in the 3-4 PR range and they were played by five different players. In addition, the way I designed the function for the frequency was that it included the lower bound but not the upper bound. It happened to be that one of the matches was played at a rounded 3 PR and could easily be allocated to the 2-3 PR range. Moreover, two matches were played at 3.9x which was almost allocated to the 4-5 PR range. Lastly, I think that the small sample makes it difficult to see the true distribution and your arguments support that.

Having said that, yes there is a bias due to players being represented more than once for various reasons which I mentioned in my initial post. You can also add the bias of basing the data on my matches only since even though my performance is excluded there should be a correlation. Therefore, I didn't aim for a random cross-section of players which explains why I don't believe the results represent the open player average PR, but more, as Matt suggested, the average PR you are likely to face during an open tournament.

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