Table 1 Classification of all 15 genetically feasible family types for nuclear families each with a single affected child, together with the conditional probability of each trio, given that the child is a case

From: A simple method for detection of imprinting effects based on case–parents trios

Family type

FMC a

Mating type

Family number

Conditional probability b

1

100

1

N 100

(φD/Dw3w6+φD/dw4w6+φd/Dw3w8+φd/dw4w8)/φ

2

101

1

N 101

(φD/Dw3w5+φD/dw4w5+φd/Dw3w7+φd/dw4w7)/φ

3

201

1

N 201

(φD/Dw1w3+φD/dw1w4+φd/Dw2w3+φd/dw2w4)/φ

4

211

1

N 211

(φD/Dw1w10+φD/dw1w12+φd/Dw2w10+φd/dw2w12)/φ

5

212

1

N 212

(φD/Dw1w9+φD/dw1w11+φd/Dw2w9+φd/dw2w11)/φ

6

010

2

N 010

(φD/Dw3w10+φD/dw3w12+φd/Dw4w10+φd/dw4w12)/φ

7

011

2

N 011

(φD/Dw3w9+φD/dw3w11+φd/Dw4w9+φd/dw4w11)/φ

8

021

2

N 021

(φD/Dw1w3+φD/dw2w3+φd/Dw1w4+φd/dw2w4)/φ

9

121

2

N 121

(φD/Dw1w6+φD/dw2w6+φd/Dw1w8+φd/dw2w8)/φ

10

122

2

N 122

(φD/Dw1w5+φD/dw2w5+φd/Dw1w7+φd/dw2w7)/φ

11

000

3

N 000

(φD/Dw32+φD/dw3w4+φd/Dw3w4+φd/dw42)/φ

12

110

3

N 110

(φD/Dw6w10+φD/dw6w12+φd/Dw8w10+φd/dw8w12)/φ

13

111

3

N 111

(φD/Dw5w10+φD/dw5w12+φd/Dw7w10+φd/dw7w12)/φ+

    

(φD/Dw6w9+φD/dw6w11+φd/Dw8w9+φd/dw8w11)/φ

14

112

3

N 112

(φD/Dw5w9+φD/dw5w11+φd/Dw7w9+φd/dw7w11)/φ

15

222

3

N 222

(φD/Dw12+φD/dw1w2+φd/Dw1w2+φd/dw22)/φ

  1. aF, M and C denote the genotypes of the father, mother and child, respectively.
  2. bw1=(pg+δ)g, w2=(qg−δ)g, w3=(pg′−δ)g′, w4=(qg′+δ)g′, w5=pgg′+g′δ−δθm, w6=pgg′−gδ+δθm, w7=qgg′−g′δ+δθm, w8=qgg′+gδ−δθm, w9=pgg′+g′δ−δθf, w10=pgg′−gδ+δθf, w11=qgg′−g′δ+δθf, w12=qgg′+gδ−δθf, φ=p2φD/D+pqφD/d+pqφd/D+q2φd/d.