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. 2017 Nov 13;114(51):13441–13446. doi: 10.1073/pnas.1708491114

Table 1.

Modified ACE variance components model

Test Grades A (additive genetic) M (SES measure) C (common environment) E (nonshared environment) A′ (genetic × SES) 95% CI for A′ n
Lower Upper
Math 3–5 0.590 0.143 0.052 0.209 −0.101 −0.120 −0.082 34,432
Reading 3–5 0.619 0.149 0.003 0.224 −0.030 −0.073 0.013
Math 6–8 0.628 0.169 0.000 0.181 −0.050 −0.110 0.010 21,653
Reading 6–8 0.594 0.166 0.017 0.197 −0.077 −0.130 −0.023

This table is based on variance components models used in Purcell (30) and Tucker-Drob and Bates (16). The first two models (grades 3–5) use a relatedness value of 0.76, whereas the latter two models (grades 6–8) use a relatedness value of 0.77. Relatedness is defined as (n − M)/n + 0.5(M/n), where n is the number of SS twins and M is the number of OS twins. The first two columns list test and test grades. Subsequent columns present variances due to additive genetic effects (A); SES measure, which in our case is years of maternal education at birth (M); shared environment (C); and nonshared environment (E). A′ is a moderator term of interest for additive genetic effects displayed together with lower and upper bounds of 95% CIs in the following two columns. The Scarr-Rowe hypothesis requires A′ to be positive and statistically significant. The last column presents sample sizes used in estimation.

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