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Table 5 Parameterization of one-locus models (9), (10), (11), (12) when m = 3.

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

Codings

Restrictions

Relationships

Allele

α 3 * =0

μ = G 1 3 + G 2 3 - G 1 2 α 1 = G 1 2 - G 2 3 , α 2 = G 1 2 - G 1 3 δ 1 = ( G 1 1 - G 1 3 ) - ( G 1 2 - G 2 3 ) δ 2 = ( G 2 2 - G 2 3 ) - ( G 1 2 - G 1 3 ) δ 3 = G 3 3 + G 1 2 - G 1 3 - G 2 3

F

2 α 3 * + δ 3 * =0

τ = G 1 1 + G 2 2 2 a 1 = G 1 1 - G 3 3 2 , a 2 = G 2 2 - G 3 3 2 d 1 = ( G 1 2 + G 1 3 ) - ( G 2 3 + G 1 1 ) 2 d 2 = ( G 1 2 + G 2 3 ) - ( G 1 3 + G 2 2 ) 2 d 3 = ( G 1 3 + G 2 3 ) - ( G 1 2 + G 3 3 ) 2

Allele-count

α 3 * =0

π 0 = G 1 3 + G 2 3 - G 1 2 π 1 = G 1 2 - G 2 3 , π 2 = G 1 2 - G 1 3 η 1 = ( G 1 1 - G 1 3 ) + ( G 1 2 - G 2 3 ) η 2 = ( G 2 2 - G 2 3 ) + ( G 1 2 - G 1 3 ) η 3 = G 3 3 + G 1 2 - G 1 3 - G 2 3

Allele-count

2 α 3 * + δ 3 * =0

π 0 = G 3 3 π 1 = ( G 1 2 + G 1 3 ) - ( G 2 3 + G 3 3 ) 2 π 2 = ( G 1 2 + G 2 3 ) - ( G 1 3 + G 3 3 ) 2 π 3 = ( G 1 3 + G 2 3 ) - ( G 1 2 + G 3 3 ) 2 η 1 = G 1 1 - G 3 3 , η 2 = G 2 2 - G 3 3