RichardKennaway comments on True numbers and fake numbers - Less Wrong

19 Post author: cousin_it 06 February 2014 12:29PM

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Comment author: RichardKennaway 06 February 2014 09:42:54PM 2 points [-]

there are many varieties of IQ test, and their results mostly agree.

If a proposed test didn't agree with the existing ones, it wouldn't be used as an IQ test.

Comment author: gwern 06 February 2014 10:28:01PM 2 points [-]

If it correlated better with the vast battery of non-IQ-tests which nevertheless exhibit a positive manifold, it'd be used.

Comment author: RichardKennaway 07 February 2014 10:10:20AM 1 point [-]

Thinking about the geometry of that, it seems to me that any two things that correlate positively with all of a "vast battery of non-IQ-tests" are likely to correlate positively with each other, and the more diverse (i.e. less correlated with each other) that battery is, the tighter the constraint it places on the set of things that correlate with all of them.

Furthermore, if it correlates better with that battery than existing IQ tests do, it again seems, just from visualising the geometry, that it will correlate worse with the IQ tests than they do with each other.

But my intuition may be faulty. Do you have a concrete example of the phenomenon?

Comment author: gwern 07 February 2014 06:02:05PM *  1 point [-]

Thinking about the geometry of that, it seems to me that any two things that correlate positively with all of a "vast battery of non-IQ-tests" are likely to correlate positively with each other, and the more diverse (i.e. less correlated with each other) that battery is, the tighter the constraint it places on the set of things that correlate with all of them.

Indeed. To the extent that existing IQ tests are not terrible & crappy (and, y'know, they aren't), any better IQ test is still going to correlate heavily with the old ones.