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

BMC Genomic Data

Table 1 Parameterization of fully parameterized one-locus models (4), (5), (6).

Codings	Relationships
Allele	$\begin{gathered} μ = G_{m m}, α_{j} = G_{j m} - G_{m m} \\ δ_{j j} = G_{j j} + G_{m m} - 2 G_{j m}, j = 1, \dots, m - 1 \\ δ_{j k} = (G_{j k} - G_{j m}) - (G_{k m} - G_{m m}), j, k = 1, \dots, m - 1; j < k \end{gathered}$
F_∞	$\begin{gathered} τ = G_{m m} + \frac{1}{2} \sum_{j = 1}^{m - 1} (G_{j j} - G_{m m}) \\ a_{j} = \frac{G_{j j} - G_{m m}}{2}, d_{j j} = G_{j m} - \frac{G_{j j} + G_{m m}}{2}, j = 1, \dots, m - 1 \\ d_{j k} = (G_{j k} - G_{j m}) - (G_{k m} - G_{m m}), j, k = 1, \dots, m - 1; j < k \end{gathered}$
Allele-count	$\begin{gathered} π_{0} = G_{m m}, π_{j} = G_{j m} - G_{m m} \\ η_{j j} = G_{j j} - G_{m m}, j = 1, \dots, m - 1 \\ η_{j k} = (G_{j k} - G_{j m}) - (G_{k m} - G_{m m}), j, k = 1, \dots, m - 1; j < k \end{gathered}$

ISSN: 2730-6844