Greg Mankiw calls it “The Least Surprising Correlation of All Time“…

The NY Times Economix blog offers us the above graph [..] a good example of omitted variable bias. The key omitted variable here is parents’ IQ. Smart parents make more money and pass those good genes on to their offspring.

Suppose we were to graph average SAT scores by number of bathrooms a student has in their family home. That curve would also likely slope upward. (After all, people with more money buy larger homes with more bathrooms.) But it would be a mistake to conclude that installing an extra toilet raises yours kids’ SAT scores.

It would be interesting to see the above graph reproduced for adopted children only. I would be willing to bet that the curve would be a lot flatter.

Like your teachers said, always remember correlation does not imply causation.

Basically we have something of an inheritable meritocracy going on here: economic survival of the fittest extends beyond the first generation. This is a significant part of why I resist the notion that estate taxes should be higher than the tax for spending the same wealth for any other purpose, including charity.

It’s also why I think targeting the educational underachievement of poor students (e.g. higher dropout rates) isn’t always a good use of resources. Part of the reason poor kids do worse is cultural: they may not appreciate learning as much, e.g. what Barack Obama called out as some poor minorities’ pernicious prejudice against “acting white” and studying hard. Those who teach groups of minority students should be aware of this effect and work to discourage it by showing them why success matters to everyone. And if we can find effective ways to give poor students a better education, like providing them with vouchers for a cheaper and superior private school, so much the better. School choice and competition is essential to reforming our broken, bloated, outrageously expensive and under-performing public education system.

Yet at the same time, we should not be blind nor get into a politically correct tizzy about the fact that, overall, poor kids tend to have inferior genes and will necessarily perform worse on average.

On a related note, genes also vary by geographic origin—which, along with cultural differences, explains the bulk of minority achievement variations.

Racial intolerance and vestiges of classism still exist, of course, but they’re hardly the all-powerful boogiemen people make them out to be.

Update: I’d thought more people would be interested in this. Oh well, here’s economist Brad Delong:

IIRC, the age-adjusted correlation between log income and IQ is 0.4: take someone with a log income higher by one standard deviation than average–these days someone with a middle-age-adjusted family income of $100,000-$120,000 rather than $60,000-$80,000–and their IQ is likely to be 0.4 standard deviations (6 points) above average. The individual heritability of IQ is about 0.5: take an individual with a IQ 6 points above average and their children will be expected to have an IQ 3 points above average. SAT scores have a mean of 500, a standard deviation of 100, and a high but not a perfect (0.7) correlation with IQ.

So if we compare people whose parents have an income of $100,000-$120,000 to those with an income of $60,000-$80,000 we would expect to see 1 x 0.4 x 0.5 x 0.7 x 100 = 14 points. The actual jump in the graph Mankiw refers to is twice as large.

The rule of thumb, I think, is that half of the income-test score correlation is due to the correlation of your test scores with your parents’ IQ; and half of the income-test score correlation is coing purely from the advantages provided by that component of wealth uncorrelated with your parents’ (genetic and environmental!) IQ.

Gherald filed this under: ,  
  1. Metavirus says:

    not exactly sure where your immediate jump to "genetics" came from. out of all of a person's traits, intellectual potentiality is one of the most environmentally influenced. i'm not sure the above findings are really all too surprising, considering that parents who have achieved more — have more money to relocate to good school districts and spend money on private tutoring and SAT prep.

    • Gherald says:

      I do think school choice is important for kids from motivated families to have a better shot at success, so I mentioned that.

      Supposing tutoring and SAT prep explain a significant portion of this pattern seems awfully unlikely to me. But maybe I'm speaking too much from personal experience. My siblings are all valedictorians, and it's undoubtedly part cultural but more genetic. Extra tutoring and income had nothing to do with it (my parents could have been quite materially successful, but instead dedicated themselves to an unprofitable mission).

      Anyhow, it would be really interesting to see the above data plotted alongside parental IQ, hours of tutoring, and average SAT scores and income of those attending the same school.

      Addendum: There don't seem to be a lot of studies on this, but Marginal Revolution looked at a big one. For children with their biological parents, the transmission from a single parent is 38%. According to the second commenter, adoption studies show intergenerational transmission is 0% when the parents and children aren't related (i.e., adopted).

      If I'm interpreting this correctly, it seems to suggest that, for both biological parents combined, intergenerational IQ transmission could explain up to 76% of the resulting child IQ.

      That's a pretty big genetic effect, no? Of course, smart fathers proably tend to associate with smart mothers, so the 38% may already be accounting for some portion of the other parent's IQ.

      To guesstimate, maybe genetics are 50%, culture is 25%, and access to better schools/tutors is 25%. Does this seem feasible?

  2. M Stein says:

    Intelligence, like other behavioural traits is significantly heritable.

    “Data from more than 8000 parent-offspring pairs, 25,000 sibling pairs, 10,000 twin pairs and adoption studies provide evidence that genetic factors play a substantial role in the variation of general intelligence, with heritability estimates ranging from 40 to 80%” —Burdick et al, Cognitive variation in DTNBP1 influence general cognitive ability. Human Molecular Genetics, 2006, Vol 15, No. 10.

    “Heritability estimtes for intelligence quotient (IQ) range from 0.50 to 0.80. This makes IQ a suitable target for attempts to identify the specific genes involved.” Chorney et al, Role of the cholinergic muscarinic 2 receptor (CHRM@) gene in cognition. Molecular Psychiatry (2003) 8. 10-13.

    “A substantial body of literature from twin, family and adoption studies documents significant genetic effects on human intelligence. Heritability estimates range from 40 to 80% and meta-analyses suggest an overall heritability of around 50%” Dick et al,

    (2006) “Association of CHRM2 with IQ: Converging Evidence for Genes Influencing Intelligence.” Behavioral Genetics.

    “Multivariate genetic analyses indicate that general intelligence is highly heritable, and that the overlap in the cognitive processes is twice as great as the overall phenotypic overlap, with genetic correlations averaging around .80.”

    Plomin et al (2004) “A functional polymorphism in the succinate-semialdehyde dehydrogenase genes is associated with cognitive ability,” Molecular Psychology 9, 582-586.

    Also, the brains of more intelligent people are different in terms of cortical thickness and myelination (affects processing speed -- Einstein had a larger number of glial cells which produces this). This is significantly heredible:

    “The UCLA researchers took the study a step further by comparing the white matter architecture of identical twins, who share almost all their DNA, and fraternal twins, who share only half. Results showed that the quality of the white matter is highly genetically determined, although the influence of genetics varies by brain area. According to the findings, about 85 percent of the variation in white matter in the parietal lobe, which is involved in mathematics, logic, and visual-spatial skills, can be attributed to genetics. But only about 45 percent of the variation in the temporal lobe, which plays a central role in learning and memory, appears to be inherited.”

    (see New Scientist 9 March 2009 ‘High Speed Brains in the Genes’ and MIT Technology Review, March 24, 2009)

  3. schu says:

    I would think that common sense would indicate that wealthy families usually emphasize education, buy the books, toys, and programs that encourage development, and follow threw with there use. They also limit TV and follow up on parent teacher meetings. They expect their children to succeed, and most do try to meet these expectations. There are exceptions to this on both sides, but they are just that exceptions.

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