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August 26, 2008 | 26 Comments

Which country did best in the Olympics?

(This analysis was suggested by reader Joy C., who provided a link to the medal tables.)

China, even disregarding its cheating, grabbed the most gold medals (51 to the USA’s next best 36), but the USA took the most overall (110 to China’s next best 100). Either country, then, could be argued the better one depending on whether you value just gold or all medals.

But are there better ways to compare success than raw totals? For example, tiny Jamaica won 11 total medals, while Poland which is over 10 times as populated took only 10. Obviously, countries with enormous populations have a better chance at taking more medals because they have a larger pool of athletes to draw from. China, for example, has over 1.32 billion souls, with the USA has less than their decimal point, with only 305 million. (Population data gathered from Wikipedia.)

Let’s control for a country’s population and re-rank. Here is a table of some of the top countries with the medal totals normalized by population—total medals divided by population in millions. The number “Medals per million” is the number of medals won per million people.

Rank Country Medals per million
1 Bahamas 6.04
2 Jamaica 4.05
3 Iceland 3.16
4 Slovenia 2.46
5 Australia 2.15
6 Cuba 2.13
7 New Zealand 2.11
8 Norway 2.09
9 Armenia 2
10 Belarus 1.96
15 Georgia 1.37
27 Britain 0.77
36 Canada 0.54
37 Russia 0.51
38 Germany 0.5
39 Italy 0.47
40 Spain 0.39
44 United States 0.36
60 Taiwan 0.17
68 China 0.08

The Bahamas tops the list: they won 2 medals with a population of only 330 thousand, an amazing feat, or perhaps I should say with amazing feet since their medals were in running events. Jamaica has 2.7 million people and won 11 medals. Ranking countries this way puts the USA down at number 44, with China not coming in until 68, with Taiwan ahead of it! Incidentally, the BBC site, one of the many hosting medal count tables, fearfully lists Taiwan as “Chinese Taipei”, which is meaningless because Taipei is only one city in Taiwan. China, with the world’s biggest population, can lower their denominator and do better next time if they institute a new Cultural Revolution. Georgia can also take some comfort for coming in well ahead of Russia (15th to 37th place).

Smaller countries also, as a matter of necessity, have to be more focused. Cuba, for example, won the majority of their medals in various martial arts (boxing, judo, and so on; perhaps they’re expecting something after Castro kicks over). The larger countries have entrants in most sports: both Communist China and the USA won their medals in dozens of events.

Here’s another way to look at the same data. This is a plot of the population (note the logarithmic scale) by the total number of medals won.
Population by total medals
Many of the names are tiny and unreadable, but the general drift can be seen: greater populations help win more medals, just as expected. But not always. India ranks in with over a billion residents, but only garnered a couple of medals. Indonesia and Russia are also hugely populated but have few medals to take home.

As always, money helps. Here is the Gross Domestic Product (GDP), a rough measure of economic output, by total medal count: (GDP estimated from Wikipedia.)
GDP by total medals
China looks like its GDP is just behind the USA, but it isn’t. For example, Japan is second, Germany third then China. Clearly, though, the more bucks the more bang. But as with population, not always. India’s GDP outstrips South Korea’s and Australia’s but it’s medal total is lower. One of the more interesting things about this graph is the wide range of GDPs: over 6 orders of magnitude!

The next step is to see the joint effect of increasing population and GDP. That’s what this next, more difficult, picture shows:
Population/GDP by total medals
Each dot is a country’s Population and GDP; the number beside it is the number of medals won. Darker circles help guide the eye to higher counts. The highest dozen Populations and the lowest GDPs are highlighted for easier recognition. The double bang received from having lots of people making lots of money is easily seen, but the relationship is not perfect.

I am not trying to predict the medal counts for the next Olympics, hence this is no real statistical model. To build one would require the data from previous Olympics, summer and winter, tracking the number of events, the changes in politics and inflation and on and on. Too much work and in the end there would be too much uncertainty that the model proposed is valid. Showing the data plainly is the fairest procedure.

Just for fun, and having nothing to do with the Olympics, here are the top and bottom 10 countries of dollars made per person (GDP divided by population). You can think of this as a sort of measure of citizen efficiency.

Rank Country Dollars made per citizen
1 Luxembourg 104,000
2 Norway 82,000
3 Qatar 81,000
4 Iceland 63,000
5 Ireland 58,000
6 Denmark 57,000
7 Switzerland 56,000
8 Sweden 49,000
9 Netherlands 47,000
10 Finland 46,000
159 Myanmar 270
160 Eritrea 270
161 Malawi 250
162 Ethiopia 250
163 Guinea-Bissau 200
164 Liberia 190
165 Congo 160
166 Burudi 120
167 North Korea 93
168 Zimbabwe 48

The USA makes the list at number 12 with about 45-thousand per person. England at number 11 is just about the same, mere dollars ahead. Non-Arabic Africa is at the bottom of all of these lists.

Of course, Luxemborg and Norway, at the top of this list, have less people that live in my neighborhood, so it isn’t entirely interesting. The largest population of the top 10 goes to Netherlands, which is equal to the population of Manhattan. Oh, the well run European countries! we often hear. But they are so tiny! Zimbabwe, the very bottom of the list, has about 13 million people with a paltry 48 bucks per head. North Korea’s population is estimated at about 24 million, but that was before last year’s winter, so their total dollars per capita could increase next year in that communist paradise.

August 25, 2008 | 10 Comments

Environmentalists feed people to dragons

Komodo dragons have been eating a lot of people in Indonesia lately and the locals blame environmentalists, as reported by Yaroslav Trofimov at the Wall Street Journal (a subscription is required; or borrow or buy today’s paper).

Apparently, in Indonesia, people used to hunt deer and leave portions of successful hunts to the komodo dragons. They also used to tie up goats as sacrifices. All of this pleased the dragons, which left the humans alone.

Then entered the Environmentalists from the Nature Conservancy, who sought and were awarded a ban on deer hunting. They also had dogs declared an “alien species”, thus outlawing them. Naturally, being sympathetic souls, they also got a ban on goat offerings. The reason they did all this, according to Widodo Ramono, the policy director of the environmentalist organization, was because he feared the komodo was becoming “domesticated.”

But, even though all the people in this group were no doubt armed with many letters after their names, each with multiple “studies” in hand, they forgot that the dragons had to eat.

So the dragons started wandering down to the villages and learned how tasty villagers and the villagers’ livestock were. “[T]oday the dragons are angry with us,” says villager Hajji Faisal, “and see us an enemies.” A man named Jamain, whose son was eaten, said “I don’t blame the dragons for my boy’s death. I blame those who forbade us from following custom and feeding them. If it weren’t for them, my boy would still be alive.”

Nature Conservancy officials think Jamain’s and other villagers’ arguments that the environmentalist policies are to blame are based on “superstition.” They instead accuse Jamain’s son for looking too delicious (no, my dear readers, I am not kidding). In words I believe he has never himself heeded, environmentalist Putri Naga Komodo said of the connection, “You’ve got to be very careful about extrapolating and drawing any conclusions.”

In banning age old practices, I can only ask, wither multiculturalism?

Be sure and read Trofimov’s full story, from which all the quotes were taken.


The Pathetic Madonna

The insane level of self-regard and idiotic self-indulgent behavior we accept from our celebrities should embarrass us.

There will always be utterly spoiled brats, but that these blots on humanity should be elevated to glorified status such that they are never held accountable for their tantrums is mind boggling.

The disrespectfully-self-named teen-music singer ‘Madonna’ is the latest in an unfortunately long and growing line of such luminaries. At a concert away from her home country yesterday, she played a song, apparently autobiographical, entitled “Get Stupid”, during which John McCain’s “image was flashed up alongside images of destruction and global warming and of Hitler and Mugabe” (from MSN news.)

This is no different than a rotten child going into the home of another and disparaging and disowning her family because she was denied a treat. It is pathetic, cowardly and ordinarily induces disgust on those who witness the spectacle.

But not if that person is a celebrity. Then, even though fans know better, they reach with all their might to seek justification and a reasonable explanation of their idol’s outburst. They should shun the woman, but they don’t want to deny themselves the small entertainment they receive from the simplistic music, so they relax their own morals. In short, the fans only think of their own pleasures, thus effectively mimicking what they have seen.

Well, all that is not new or even unexpected nowadays. This sort of thing is so common that my indignation probably seems out of place and reactionary.

What makes it worse is the reporting. Try Googling “Madonna Hitler” and you will see numerous headlines like this: “McCain camp blasts Madonna’s Hitler dig,” and “McCain staff slams ‘outrageous’ comparison with Hitler by Madonna.” Note the scare quotes around outrageous which, as the philosopher David Stove has taught us, means “not really outrageous but thought by so-and-so to be outrageous.”

The reporters, people who we are repeatedly told are well educated and discerning, cannot bring themselves to say what is obvious. They instead blame the “controversy”, using their best questions-were-raised style of empty prose, and say it is McCain’s staff that is having the problem.

August 22, 2008 | 17 Comments

Has Couple Found Formula To Win Lottery?

I stole that title from WNBC’s web site, where they have a similarly titled story. The only reason I bring this to your attention—the story itself is ludicrous on its face—is that it is another piece of evidence that either (A) reporters care more about their hair than the organ under it, or (B) reporters are willing to say anything to gain viewers.

Of course, both (A) and (B) might be true.

It’s Friday afternoon; we might as well have a laugh. Here’s the story

Verlyn and Judith Adamson of Mount Horeb each claimed a $350,000 jackpot this week for having the winning numbers in the state SuperCash drawing last Saturday.

But they didn’t mention at the time that they also held two more of the winning tickets.

They claimed two more $350,000 jackpots Thursday. All four were purchased at different locations, but with the same numbers and for the same drawing…Verlyn Adamson, an accountant, said earlier in the week that he’s a big fan of math puzzles. He claims he developed a formula for lottery picks, but his winnings have been small until now.

[Their lawyer] said the Adamsons are “exploring patent protection” for the equation.

OK, I’ll bite. Why mention that they bought the tickers at different locations? It’s the same set of numbers on each ticket for the same drawing! It makes no difference where you bought them. The “reporter” obviously didn’t bother to look up the fact that the SuperCash drawing is a standard ball draw: “Choose 6 different numbers from 1 through 39” (it took me nearly 30 seconds to find this; time I could have spent combing my hair).

You can, in this lottery, increase your winnings by buying multiple tickets, a practice which must be exceedingly common. But note that the Adamson’s didn’t win four different draws, just the same draw with four tickets with the same numbers. I feel stupid for harping on that observation, but apparently it wasn’t obvious to the “reporter.” It’s also not clear how many winning tickets they had: according to the SuperCash rules, you get two plays per ticket, so if they had four tickets they would have won eight jackpots, not four. Well, who cares about details?

Poor Adamson is now going to dump a substantial portion of his winnings (those not confiscated by the government) on a patent application for a formula for winning the lottery. I doubt his lawyer, who will of course be paid a fee, will discourage them. But I fear (and hope) the Patent Office won’t oblige them in the end.

If I were a cynic, I’d guess Adamson and his lawyer don’t care about the patent. It’s likely that they will be willingly persuaded to part with the formula for a fee, perhaps several times. How else did the “reporter” get the story in the first place?

I wonder how many people who pay for access to his formula will wonder why he’s selling it, because Adamson could make a boatload more by just using it himself.

Oh, yes. The reporter, as he must have learned in J School, provided balance by quoting a mathematician saying (in politer language than this) that Adamson was crazy.

If, and I know the odds of this are vanishingly small, any reader wants to know why such a formula is impossible, just ask and I’ll create a post explaining it.