gwern comments on Information theory and FOOM - Less Wrong

6 Post author: PhilGoetz 14 October 2009 04:52PM

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Comment author: gwern 09 August 2011 06:48:42PM 1 point [-]

Because of the construction of the tests. As you go to higher points, each point represents fewer and fewer correctly answered questions. Matrix IQ tests can be mechanically generated by combining simple rules, and they show the same bell curve norms despite what look only like linear increases in number of rules or complexity.

And the Benbow and Terman studies and others do show practical impact, but they don't show a linear impact where each IQ point is as valuable as the previous, and they certainly do not show an increasing marginal returns where the next IQ point gives greater benefits than before!

Comment author: Vladimir_Nesov 09 August 2011 07:11:40PM *  0 points [-]

Do you mean "at higher IQ values each additional point corresponds to less and less additional (expected) intelligence" or "at higher IQ values each additional point corresponds to less and less total intelligence"?

Comment author: gwern 09 August 2011 08:03:51PM 1 point [-]

I mean the former - diminishing returns in measured intelligence (IQ) versus actual intelligence.

(I definitely am not saying that IQ points are uncorrelated with actual intelligence at some point, or inversely correlated!)

Comment author: CarlShulman 09 August 2011 07:51:00PM 0 points [-]

I didn't thus misinterpret: my prior on the latter meaning is low.

Comment author: Vladimir_Nesov 09 August 2011 07:53:44PM *  0 points [-]

(I corrected my comment before you replied, sorry for acting confused.)