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Table 2 Imposed genotype penetrance table and disease prevalence calculation in the general population with allele frequencies under assumption of Hardy-Weinberg equilibrium

From: Confounding of linkage disequilibrium patterns in large scale DNA based gene-gene interaction studies

Genotype

 

Penetrance of genotype

Marginal

  

−−−−−−−−−−−−−−−−

penetrance

  

AA

Aa

aa

 
  

(1−p)2

2p(1−p)

p 2

 

BB

(1−p)2

p(D|G1)

p(D|G2)

p(D|G3)

Mx(x=1)

Bb

2p(1−p)

p(D|G4)

p(D|G5)

p(D|G6)

Mx(x=2)

bb

p 2

p(D|G7)

p(D|G8)

p(D|G9)

Mx(x=3)

Marginal

 

My(y=1)

My(y=2)

My(y=3)

p(D)=K

penetrance

     
 

DSL 1

AA=TT

Aa=TA

aa=AA

 

DSL 2 A

 

0.9025

0.095

0.0025

 

BB=AA

0.36

0.0067

0.0911

0.0911

0.015

Bb=CA

0.48

0.0067

0.0392

0.0392

0.010

bb=CC

0.16

0.0067

0.0163

0.0163

0.008

Marginal

 

0.0067

0.054

0.054

p(D)=0.0113

penetrance

     
  

Odds ratio as compared to double homozygous CC/TT as baseline

 
  

AA=TT

Aa=TA

aa=AA

 

BB=AA

 

1.00

14.88

14.88

 

Bb=CA

 

1.00

6.05

6.05

 

bb=CC

 

1.00

2.46

2.46

 
  1. In all settings, the minor allele frequency for DSL 1 is p=0.05 and for DSL 2 is p=0.40. Upper part: probabilities of disease given the genotype, values for simulated datasets in setting A (DSL 1 and DSL 2 A) with epistasis effect size β3=0.90 (see text). Lower part : odds ratio with major homozygous (TT) as baseline in setting A with epistasis effect size β3=0.90. The prevalence in the general population with this setting is around 1%