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March 06, 2007

Comments

zorro

I'm sorry are you saying

Conservative != Liberal

? I don't think these two words mean opposite things, it is quite possible to be a conservative and have liberal view. Or is this post purely aimed at Americans where "liberal" = "Democrat"?

In this country at least you would have to be barking insane to vote for the 'liberal' democrats, who would undoubtedly give even more of our hard earned money to our new Euro-Godfathers.

And if you are trying to use this 'theory' as proof that conservatives are more stupid then I suggest you re-examine your hypothesis.

Note "And suppose that stupid people split 80-20 between conservatism and liberalism, consistent with Mill’s claim. "

Well suppose the stupid people are split 10-90 between Conservatives and Labour supporters. A MUCH more realistic figure in this country at this time.

chris

The Conservative-Liberal split and the numbers are unimportant. It's about Bayes theorem. That's all.

mat (in a slightly tongue-in-cheek mood)

Thank you for this proof, Chris. I can now see that Mill was right. Just one thing... in modern Britain, the Labour Party is the relatively conservative party, and the Conservative Party is the relatively liberal party.

And, I know you said the numbers are unimportant, so I will only go so far as to venture that smart people split 0 to 100 between conservatism and liberalism. Otherwise they wouldn't be smart, would they?

Assuming, of course, we're talking about classical liberalism / libertarianism. The philosophy of conservatism in the UK presently implies sticking with authoritarianism / socialism.

Mark Wadsworth

It must be said that some mathematicians and statisticians deliberately mystify the whole thing. I'd have done boxes as well (at least in my head) and come to the same conclusion.

If it's more tricky than that I use a spreadsheet, e.g. if you have 2,000 songs on your mp3player and listen to music for two hours a day (=30 songs) on a truly random setting, what it the chance that on any day you hear the same song twice?

Answer appears to be one-in-five.

dearieme

To see your point made very clear indeed, with lovely examples, read Gerd Gigerenzer's "Risk" (Penguin 2003). One of the best paperbacks I've read in ages (which is why I recommend it here from time to time).

Glen Whitman

You're right, that's another way of doing it. In fact, that's what I did to make sure my calculations were correct before making that post. The advantage of Bayes' Rule is that you can find a general formula like the one at the end of my post. Also, the tabular approach can get confusing when you're dealing with very small probabilities, such as with disease testing.

Karthik

Thank you for the proof.
I have picked up a tool, or should I say method, to use in the future.
Thank you very much.

james c

Does it really take all of this to calculate that there are 48 stupid conservatives, 20 smart ones and so the chance of a a random conservaive being stupid is 48/(48+20)?

By the way, the reason people argue with your Mill/stupid/conservative/post is not because they can't add up, but because you use the word stupid to mean different things. Mill uses it, in one place, to mean 99% of the population. Most readers will take it to mean a much smaller proportion of the population.

ManBearPig

To see your point made very clear indeed, with lovely examples, read Gerd Gigerenzer's "Risk" (Penguin 2003).

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