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Table 4 Conditional distribution of genotype frequencies of the QTL for an inbred individual originated from the cross of sibs under the given genotypes of parents of sibs

From: Quantitative trait locus analysis of hybrid pedigrees: variance-components model, inbreeding parameter, and power

p(g5/g1,g2)

g1 × g2

pinb(g5)

 

AA × AA

BB × BB

AB × AB

BB × AA, AA × BB

AB × AA, AA × AB

BB × AB, AB × BB

 

p(AA5/g1,g2)

1

0

1/4

1/4

9/16

1/16

1/4[p(A1) + p(A2) - 1/4p(AB1) - 1/4p(AB2)+ 2p(A1) p(A2)]

p(AB5/g1,g2)

0

0

1/2

1/2

3/8

3/8

1/2[p(B1)p(A2) + p(A1)p(B2) + 1/4p(AB1) + 1/4p(AB2)]

p(BB5/g1,g2)

0

1

1/4

1/4

1/16

9/16

1/4[p(B1)+ p(B2)- 1/4p(AB1) - 1/4p(AB2) + 2p(B1) p(B2)]