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Unread 25-04-2016, 19:40
wjordan wjordan is offline
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AKA: Wes Jordan
FRC #2363 (Triple Helix)
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Join Date: Apr 2015
Rookie Year: 2013
Location: Blacksburg, VA
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Re: Comparison of DIV MAX OPRs

Quote:
Originally Posted by Jared Russell View Post
Another trivia question for you stat-gurus out there to chew on...

Given random assignment of teams to 8 divisions, what is the probability that any division's [mean OPR, 90th %ile OPR, 75th %ile OPR, 50th %ile OPR, etc.] is as strong as Newton's?
I ran 1000 simulations (creating 8000 divisions) of the assignment process (with rookies dealt out randomly and evenly at first, then vets), and for each real CMP division counted the percentages of the simulated divisions that had higher stats than the real division.
Code:
Division,  Mean, 50th, 75th, 90th
Newton	2.11%	9.93%	0.26%	1.13%
Hopper	25.31%	75.99%	63.89%	29.55%
Carver	33.69%	14.65%	49.40%	43.60%
Carson	38.50%	40.76%	7.49%	41.76%
Arch.	62.38%	60.72%	34.96%	89.81%
Curie	79.78%	53.46%	77.20%	98.06%
Tesla	86.04%	89.74%	68.84%	81.65%
Galileo	90.23%	76.91%	76.33%	82.76%
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2016: Northern Virginia Winners (1418, 2421), Hampton Roads Finalists (1885, 5954)
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Last edited by wjordan : 25-04-2016 at 20:20.
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