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Re: Day Two - New leader **

By: Cactus Flower in ALEA | Recommend this post (0)
Mon, 30 Jul 12 11:54 PM | 78 view(s)
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Msg. 09084 of 54959
(This msg. is a reply to 09082 by DigSpace)

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Huh?

Example. China wins 22 golds, the US wins 5, Brazil wins 3, Russia wins 2. China wins on a per capita basis.

If every country pulled their weight (and we assume fractional gold medals), China would be doing well if it wins above 20% of the medal count, at, say, 7 gold medals.

Trouble is, countries like Australia are doing better than they are with a single gold out of 32. On a per capita basis, they shouldn't have won any. With one, they are performing incredibly well. So well that China can't do better.

"Requiring 20% of the world to win 100% of the gold to score as top is bungled math."

Yep. It is. But that math isn't mine.

Even so, China should win more than 59 golds to Australia's one to do better than Australia. They are a much larger country.

Per capita works pretty well if you are measuring how well a country has done while removing the size of the country as a variable.

Fact is, small countries often perform better on a per capita basis than the larger ones.


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The above is a reply to the following message:
Re: Day Two - New leader **
By: DigSpace
in ALEA
Mon, 30 Jul 12 11:22 PM
Msg. 09082 of 54959

Yours fails to report that China is more successful than its size warrants.

Those that China does not win can more or less be considered to land randomly on other countries as it is the sum of them that represent the non-China component.

So far there have been 32 golds awarded. China (20%) of the world would have to win 100% of the golds to "win" in your system.

Requiring 20% of the world to win 100% of the gold to score as top is bungled math.

If tens of thousands of gold medals were to be awarded then your system would start to approach something resembling the circumstance.


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