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Table 6 Conditional probabilities of parent-child dyad genotypes given the sampling scheme of using the affected child as a proband

From: Association analysis of complex diseases using triads, parent-child dyads and singleton monads

Genotype P(G, C D), G = M or F, P(G, C D), # Obs
ParentG CaseC complex version simplified version  
AA AA p4ψ 2 /R + 2p3q ψ 2 /(2R) p3ψ 2 /R m 1
Aa 2p3q ψ 1 /(2R) + p2q2ψ 1 /R p2q ψ 1 /R m 2
  AA 2p3q ψ 2 /(2R) + 4p2q2ψ 2 /(4R) p2q ψ 2 /R m 3
Aa Aa 2p3q ψ 1 /(2R) + 4p2q2(2ψ 1 )/(4R) + 2p q3ψ 1 /(2R) p q ψ 1 /R m 4
  aa 4p2q2/(4R) + 2p q3/(2R) p q2/R m 5
aa Aa p2q2ψ 1 /R + 2p q3ψ 1 /(2R) p q2ψ 1 /R m 6
aa 2p q3/(2R) + q4/R q3/R m 7
Total   1 1 m
  1. Abbreviation: Obs = Observation.