On: Study links brain anatomy, academic achievement, and family income

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There are a number of natural experiments that researchers have used to examine this question:

[1]A study looking at the performance of Korean-American adopted children relative to their siblings: http://www.nber.org/papers/w10894

[2]The impact of various welfare programs on student achievement: http://www.ncbi.nlm.nih.gov/pmc/articles/PMC3208322/