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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