On coding genotypes for genetic markers with multiple alleles in genetic association study of quantitative traits

BMC Genomic Data

Table 2 Parameterization of one-locus models (4), (5), (6) when m = 2.

Codings	Models	Relationships
Allele	$\begin{gathered} G_{A A} = μ + 2 α_{1} + δ_{11} \\ G_{A a} = μ + α_{1} \\ G_{a a} = μ \end{gathered}$	$\begin{gathered} μ = G_{a a} \\ α_{1} = G_{A a} - G_{a a} \\ δ_{11} = G_{A A} + G_{a a} - 2 G_{A a} \end{gathered}$
F_∞	$\begin{gathered} G_{A A} = τ + a_{1} \\ G_{A a} = τ + d_{11} \\ G_{a a} = τ - a_{1} \end{gathered}$	$\begin{gathered} τ = \frac{G_{A A} + G_{a a}}{2} \\ a_{1} = \frac{G_{A A} - G_{a a}}{2} \\ d_{11} = G_{A a} - \frac{G_{A A} + G_{a a}}{2} \end{gathered}$
Allele-count	$\begin{gathered} G_{A A} = π_{0} + η_{11} \\ G_{A a} = π_{0} + π_{1} \\ G_{a a} = π_{0} \end{gathered}$	$\begin{gathered} π_{0} = G_{a a} \\ π_{1} = G_{A a} - G_{a a} \\ η_{11} = G_{A A} - G_{a a} \end{gathered}$

ISSN: 2730-6844