mersenneforum.org > Math I see this as a bit of a mathematical curiosity...
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 2015-07-17, 15:55 #1 petrw1 1976 Toyota Corona years forever!     "Wayne" Nov 2006 Saskatchewan, Canada 10010111111002 Posts I see this as a bit of a mathematical curiosity... Our Team Standings.... We are 8th or 9th in every work category yet 10th overall. I'm not saying the data is wrong and I do accept it is possible; I just wouldn't expect it to be very likely to happen. Code: Type Rank of GHz days Count TF 9 160 176,585.83 29,370 P-1 9 103 4,380.66 6,654 LL 8 164 73,702.07 486 LL-D 9 165 29,962.90 793 ECM 8 59 2,031.85 2,266 ECMF 8 31 2,320.67 50 Overall 10 246 288,983.99 39,619
 2015-07-17, 16:06 #2 rajula     "Tapio Rajala" Feb 2010 Finland 32×5×7 Posts Without looking at the stats of high-level teams I would to the contrary find this likely to happen. I would expect some teams with GPU-power to concentrate on TF and some others to do lot of LL-D/LL. For the standings of your team all it would take is one team beating you in TF and total, but losing on other types and one team beating you on LL/LL-D and total, but losing on other types.
 2015-07-17, 16:31 #3 fivemack (loop (#_fork))     Feb 2006 Cambridge, England 22·32·179 Posts If there are N kinds of work, and N teams each of which do only one kind of work, and you do a tiny bit of all kinds of work, you can easily be second-best in every field and last overall
 2015-07-18, 12:13 #4 Brian-E     "Brian" Jul 2007 The Netherlands 2×3×5×109 Posts Your table helpfully includes the number of teams from which your ranking is taken in each category and overall. From that measure you can calculate that overall, 10th out of 246, you are just outside the 4 percentile. On that reckoning you do significantly better overall than you do in any of the individual categories.
 2015-07-19, 02:33 #5 Jayder     Dec 2012 2×139 Posts This reminds me of Simpson's paradox.

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