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Chunk #10 — Methods and results — Delineation of the problem

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Testing for measured gene-environment interaction: problems with the use of cross-product terms and a regression model reparameterization solution.
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If the interaction term has a significant nonzero β3 coefficient, then by substituting G = 0 and G = 1 in (1) we obtain: P∣(G=0)=β0+β2E,P∣(G=1)=(β0+β1)+(β2+β3)E.