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Re: Some statistics on year-to-year consistency, 2005-2007
I'm somewhat surprised that Regional Winner #4 is ranked last, unless one of my assumptions is wrong.
For a team to be #4 on the alliance, they would have to be a replacement team, the highest seed to not be picked. The lowest this team could be would be 25th, if the top 8 seeds all choose within the top 24. (Typically it seems to be more in the range of 16 or even lower). If they have a performance of .7, then 70% of teams perform better then them. 25/.7=35 for a typical regional where a replacement happens. Since almost all regionals are larger then 35 and replacement teams are almost always ranked better then 25th, that number doesn't seem right.
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