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Table 5 Conditional probabilities of parental mating type and triad 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

Parental Affected child P(MT, C | D) P(MT | D) # Obs
mating type genotype C    
1. AA × AA AA p4ψ 2 /R p4ψ 2 /R n 1
2. AA × Aa AA 4p3q ψ 2 /(2R) 4 p 3 q ψ 1 + ψ 2 2 R n 2
  Aa 4p3q ψ 1 /(2R) n 3
3. AA × aa Aa 2p2q2ψ 1 /R 2p2q2ψ 1 /R n 4
4. Aa × Aa AA 4p2q2ψ 2 /(4R) 4 p 2 q 2 ψ 2 + 2 ψ 1 + 1 4 R n 5
  Aa 4p2q2(2ψ 1 )/(4R) n 6
  aa 4p2q2/(4R) n 7
5. Aa × aa Aa 4p q3ψ 1 /(2R) 4p q 3 ψ 1 + 1 2 R n 8
  aa 4p q3/(2R)   n 9
6. aa × aa aa q4/R q4/R n 10
Total   1 1 n
  1. Abbreviation: MT = Mating type, Obs = Observation. R =p2ψ 2 + 2pq ψ 1 + q2.