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Chunk #10 — Materials and Methods — Statistical Methods — Robustness and Sensitivity Analyses.

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Sibling comparisons elucidate the associations between educational attainment polygenic scores and alcohol, nicotine and cannabis.
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We conducted robustness analyses to examine whether findings changed when statistically controlling for educational attainment in both the association and sibling comparison analyses. Sibling differences and family means for phenotypic educational attainment (i.e., EduYears-deviation and EduYears-mean) were calculated using the same procedure described above for EduYears-GPS-deviation and EduYears-GPS-mean.