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Table 2 Partition of degrees of freedom for two loci with number of alleles n1 and n2 (a simplified case without distinguishing the paternal and maternal origins)

From: Models and partition of variance for quantitative trait loci with epistasis and linkage disequilibrium

Source

Degrees of Freedom

additive (α)

n1 - 1

dominance (δ)

n1(n1 - 1)/2

additive (β)

n2 - 1

dominance (γ)

n2(n2 - 1)/2

additive × additive (αβ)

(n1 - 1)(n2 - 1)

additive × dominance (αγ)

(n1 - 1)n2(n2 - 1)/2

dominance × additive (δβ)

n1(n1 - 1)(n2 - 1)/2

dominance × dominance (δγ)

n1(n1 - 1)n2(n2 - l)/4

total

n 1 ( n 1 + 1 ) 2 ⋅ n 2 ( n 2 + 1 ) 2 − 1 MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacH8akY=wiFfYdH8Gipec8Eeeu0xXdbba9frFj0=OqFfea0dXdd9vqai=hGuQ8kuc9pgc9s8qqaq=dirpe0xb9q8qiLsFr0=vr0=vr0dc8meaabaqaciaacaGaaeqabaqabeGadaaakeaadaWcaaqaaiabd6gaUnaaBaaaleaacqaIXaqmaeqaaOGaeiikaGIaemOBa42aaSbaaSqaaiabigdaXaqabaGccqGHRaWkcqaIXaqmcqGGPaqkaeaacqaIYaGmaaGaeyyXIC9aaSaaaeaacqWGUbGBdaWgaaWcbaGaeGOmaidabeaakiabcIcaOiabd6gaUnaaBaaaleaacqaIYaGmaeqaaOGaey4kaSIaeGymaeJaeiykaKcabaGaeGOmaidaaiabgkHiTiabigdaXaaa@440F@