Thursday, November 03, 2005

So, how do you figure out what pool was the toughest from nationals? Best finish? Top 2 teams? Best average finsih? Well, there is only one thing I can think of, cross country scoring! It is pretty complex, you add up the places and lowest score wins. So let's see, if you consider all 4 teams as scoring then Pool C looks the toughest.

Pool A 34.5: 1, 3.5, 14, 16
Pool B 31.5: 3.5, 6, 7, 15
Pool C 30: 2, 8, 9, 11
Pool D: 40: 5, 10, 12, 13

But say you do like cross country and only count the top 3 with the 4th guy being a tiebreak (in cc, you have 7 runners with only 5 who count). And yes part of the reason I am doing this is it makes my pool the strongest.

Pool A 18.5
Pool B 16.5
Pool C 19
Pool D 27

Maybe strongest/weakest isn't the best, maybe who played the best over last weekend is a better way to describe it. A quick analysis: Pool A was top heavy with the top teams taking 2 of the first three spots and the bottom teams pulling up the rear. Pool B had the strongest top 3, but no one really went all the way and only 1 team really stunk it up. Pool C had a solid top team and 3 decent perfomances from the other team. 3 teams in the prequarters and all 4 in the top 11, made for a tough day 1. Pool D had the worst showing with half of the bottom 6.

There is no clear cut hardest pool although there is a pretty clear poor performing pool. What is tougher a pool? A pool with 2 semis teams? A pool with 3 quarterfinal teams? Or a pool with a semis team, 2 prequarters teams and a 9th place team?

I guess pick your poison.

1 Comments:

Blogger parinella said...

I would discount heavily any differentiation between teams that are knocked out at the same level, and I would increase the differentiation between teams at different levels. Thus, the difference between finishing 5th and 8th would be less than the difference between finishing 8th and 9th. Maybe something like "award 5 points for an elimination game victory, 3 points for a power pool victory, and 1 point for all other victories."

Arrow's Theorem says that in any non-trivial election with multiple candidates, you will be able to come up with a set of criteria so that (almost) any of the candidates will be the winner. Even Pool D might come out on top. Okay, let's take the average finish plus 10 times the standard deviation, and D comes out in first.

8:17 AM  

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