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Table 1 Conditional probabilities of genotype given parental mating types and offspring disease status

From: Joint analysis of case-parents trio and unrelated case-control designs in large scale association studies

Parental mating type Case genotype Count Probability of trio Conditional probability
1) MM × MM MM n 12 p4ψ2/T 1
2) MM × NM MM n 22 2p3q(ψ1 + ψ2)/T ψ2/(ψ1 + ψ2)
  NM n 21   ψ1/(ψ1 + ψ2)
3) MM × NN NM n 31 2p2q2ψ1/T 1
4) NM × NM MM n 42 2p2q2(ψ2 + 2ψ1 + 1)/T ψ2/(ψ2 + 2ψ1 + 1)
  NM n 41   2ψ1/(ψ2 + 2ψ1 + 1)
  NN n 40   1/(ψ2 + 2ψ1 + 1)
5) NM × NN NM n 51 2pq3(ψ1 + 1)/T ψ1/(ψ1 + 1)
  NN n 50   1/(ψ1 + 1)
6) NN × NN NN n 60 q41/T 1
  1. T = ψ2p2 + ψ12pq + q2