Recently Davide Piffer and I had a disagreement on X over recent selection for IQ in Britain. The below chart someone posted on X shows British education polygenic scores expressed in standard deviation (SD) units over 1000 years :

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He then elaborated further on his substack,

His point about polling is well taken which is precisely why I asked him in the above the X thread whether Harvard students would score just as high on a five minute version of the SAT. A pollster doesn’t have time to poll hundreds of millions of Americans so they sample a few thousand. Similarly, if we don’t have time to give all two hours of the SAT, one could give a five minute sample of all the SAT questions. So if anyone knows why Piffer didn’t find this example analogous, please enlighten me.

But Piffer also says:

So here Piffer is saying that if one of the causes of a phenotype has increased by X SD, then we might correctly assume the entire phenotype has increased by the same degree, even if the correlation between the part and whole is very imperfect among individuals. Okay! There’s been no increase in British brain size (a cause of intelligence) since Medieval times (excluding post-WWII nutritional gains related to the Flynn Effect), thus there’s been no increase in genetic IQ.

If Piffer wants to analogize to polls, that’s fine with me, after all brain size can be considered a sample of the full population of neurological traits (brain folds, myelination, nerve conduction speed, reaction time etc) that cause IQ, but what do pundits do when the polls conflict? They average them.

So let’s say the polygenic poll Piffer did implies a 0.6 SD increase in IQ, but a poll of neurological properties (with brain size being the sample) suggests a 0 SD increase in IQ. Averaging them together suggests a 0.3 SD increase in genetic IQ and generously assuming an adult IQ heritability of 0.8 (Jensen, 1998), and thus a genotype-phenotype correlation of 0.89 (the square root of heritability). Thus if we cloned Medieval Brits and raised them in today’s UK, they’d probably average 0.3 SD(0.89) = 0.27 SD (about 4 IQ points) below today’s white Brits (or they might even score higher than today’s white Brits if you believe Michael Woodley’s dysgenic theories).

Previous attempts to combine Education PGS and brain size have done a good job estimating Cro-Magnon IQ and contemporary group differences.