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Bayesian model of univariate linear regression for QTL detection
See Servin & Stephens (PLoS Genetics, 2007).
where β1 is in fact the additive effect of the SNP, noted a from now on, and β2 is the dominance effect of the SNP, d = ak.
Let's now write in matrix notation:
Y = XB + E
which gives the following conditional distribution for the phenotypes: