With all due respect to David (Hi!) I think a better  reference is the
following
article published in 1915 and which provides some additional insights and
cautions:

https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4749455/

aka:

Turkheimer, E., Beam, C. E., & Davis, D. W. (2015). The Scarr-Rowe
Interaction in Complete Seven-Year WISC Data From Louisville
Twin Study: Preliminary Report. *Behavior Genetics*, *45*(6), 635–639.
http://doi.org/10.1007/s10519-015-9760-4

One comment in this article from the discussion is relevant because
Turkheimer's work has involved U.S. participants while the article I
linked to (way down below) involves Europeans:

" Whatever it is about the family or cultural environment that
suppresses heritability in lower class families, it appears to be
a factor that is more widely operative in the United States as
opposed to Europe. Unequal access to education in the United States
would appear to be a plausible explanation for the difference,
but remains speculation awaiting detailed analysis."

I wonder if this is another example of "American Exceptionalism"? ;-)

Oh, and regarding the distribution of household income or, equivalently,
SES, the authors of the above ref point out:

" Descriptive statistics are given in Table 1 for the IQ scores and SES.
IQ scores ranged from 46 to 143, with typical standard deviations close
to fifteen. SES had a mean of 47 and a standard deviation of 26.
The IQ scores were roughly normally distributed, as illustrated in Figure 1.

************
SES was more rectangularly distributed.
************
Parental SES was correlated .39, .39 and .29 with FSIQ, VIQ and PIQ,
respectively. The relationship between FSIQ and SES is illustrated in Figure
2.
Mother’s education ranged from seven to twenty years, with a mean of 13.2
years
(SD=2.4). Father’s education ranged from six to twenty years, with a
mean of 13.6 (SD=3.0). FSIQ was correlated .37 with mother’s education and .
39 with father’s education; mother’s and father’s education were
correlated .72 with each other."

So, though household income (and SES) might be highly skewewd in thee
population (damned billionaires! I bet they never let their kids participate
in these kinds of studies), it is best to examine the sample's distribution
to determine whether skew is relevant (not likely in a rectangular
distribution).
The more relevant issue is what is the effect of correlation between
two different distributions, namely between a normal and a rectangular
distribution.  The mismatch would reduce the ordinary Pearson r.
One would need a correlation coefficient that is half Pearson (for
the normal distribution) and half Spearman (for the rectangular distribution
which ranks follow).  But what do I know, right? ;-)

-Mike Palij
New York University
[email protected]



----- Original Message -----
On Wed, 25 Jul 2018 17:02:10 -070, David E wrote

The Scarr-Rowe interaction refers to heritability of IQ: very high at
the upper end of the socioeconomic scale, very low at the lower end.
You can see it in this paper, in Figure 3, for "A" (additive genetic
variance) versus shared and unshared environment:

<http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.397.9014&rep=rep1&type=pdf>

The usual interpretation is that people at the upper end of SES have
the pleasure of being able to *express* their genetic differences in
IQ, while those at the bottom do not.

Seems like a natural fit for a study of the "heritability" of
educational achievement.

--David

----- Original Message -----
On Wed, 25 Jul 2018 19:43:27 -0400, Ken Steele wrote:
Hi David:
Please explain what a Scarr-Rowe interaction is and why it may be a
rookie mistake not to take it into account.  Your link
summary/abstract does not clarify the issue.

I fear that this discussion may be headed into a descending spiral
where the label n@zi will be used.

Best regards to all.

Ken
---------------------------------------------------------------------------------------------
On Jul 25, 2018, at 7:21 PM, David <[email protected] [3]> wrote:
 More troublingly, I'm not seeing any indication that they
investigators accounted for a Scarr-Rowe interaction.  Rookie
mistake.  That interaction should've been the *first* thing they
looked for.  Otherwise, as Eric Turkheimer has argued, they might be
better off not estimating "heritability" at all
<http://psycnet.apa.org/record/2011-18633-009 [4]>.
--David Epstein  [email protected] [5]

----- Original Message -----
Chris Green opined:
Household income is incredibly highly skewed. Assuming they
obliviously used a linear coefficient to obtain the 7% figure, it is
probably a severe under-estimate of the true size of the effect.

………………………………...

On Jul 25, 2018, at 1:58 PM, Michael Palij <[email protected] [10]> wrote:

At least for White Europeans.  A masive study using genomic info as a
predictor of educational achievement showed that genes accounted for
only about 11% of the difference in years of education.

The Scientist Mag has a layperson friendly description of the study
published in the journal  "Nature Genetics".
See:https://www.the-scientist.com/news-opinion/genes-explain-about-11-percent-of-differences-in-years-of-education-64552
[11]

There are links in the article to additional sources.

So, I guess this pretty much undermines "g" or single factor theories
of intelligence (assuming intelligence drives educational achievement
as certain theorists assert).  In addition, household income accounts
for only 7% of the variance in the differences which some might
consider
a unexpected low amount.  I guess this all goes to show that your
genetic ancestry (sorry Galton) nor wealth/poverty are the most
important factors in academic acheivemnt, like getting a Ph.D.
or other advanced degree.

Now, I just hope the results are replicable. ;-)

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