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Table 1 Population and Sampling Frequencies of Case-Parent Trios. "F, M, C" refers to Father, Mother, Child.

From: Analysis of case-parent trios at a locus with a deletion allele: association of GSTM1 with autism

Actual

Observable

F, M, C Genotype

Population Frequencya

Case Frequencyb

F, M, C Genotype

Population Frequencya

Case Frequencyb

Label

2, 2, 2

p 4

p4/M

P, P, P

p2(3 - 2p)

p2(1 + 2r1(1 - p))/M

a

2, 1, 2

p3(1 - p)

p3(1 - p)/M

    

2, 1, 1

p3(1 - p)

r1p3(1 - p)/M

    

1, 2, 2

p3(1 - p)

p3(1 - p)/M

    

1, 2, 1

p3(1 - p)

r1p3(1 - p)/M

    

1, 1, 2

p2(1 - p)2

p2(1 - p)2/M

    

1, 1, 1

2p2(1 - p)2

2r1p2(1 - p)2/M

    

1, 1, 0

p2(1 - p)2

r0p2(1 - p)2/M

P, P, D

p2(1 - p)2

r0p2(1 - p)2/M

b

2, 0, 1

p2(1 - p)2

r1p2(1 - p)2/M

P, D, P

p(1 - p)2

r1p(1 - p)2/M

c

1, 0, 1

p(1 - p)3

r1p(1 - p)3/M

    

1, 0, 0

p(1 - p)3

r0p(1 - p)3/M

P, D, D

p(1 - p)3

r0p(1 - p)3/M

d

0, 2, 1

p2(1 - p)2

r1p2(1 - p)2/M

D, P, P

p(1 - p)2

r1p(1 - p)2/M

e

0, 1, 1

p(1 - p)3

r1p(1 - p)3/M

    

0, 1, 0

p(1 - p)3

r0p(1 - p)3/M

D, P, D

p(1 - p)3

r0p(1 - p)3/M

f

0, 0, 0

(1 - p)4

r0(1 - p)4/M

D, D, D

(1 - p)4

r0(1 - p)4/M

g

  1. Note: M = p2 + 2r1p(1 - p) + r0(1 - p)2. The allele frequency of the full allele is denoted by p.
  2. aUnder the assumption of Hardy-Weinberg equilibrium.
  3. bUnder the assumption of Hardy-Weinberg equilibrium, and a risk of r0 (r1) for a child with zero copies (one copy) of full allele relative to the risk to a child with two copies of the full allele.