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Table 1 Odds tables and ideal HLO-matrices for five interaction models

From: Modified entropy-based procedure detects gene-gene-interactions in unconventional genetic models

 

Odds

HLO

Multiplicative model

bb

bB

BB

bb

bB

BB

aa

α

α

α

H

L

L

aA

α

α(1+θ)

α(1+θ)2

L

H

H

AA

α

α(1+θ)2

α(1+θ)4

L

H

H

Epistasis model

bb

bB

BB

 

aa

α

α(1+θ)

α(1+θ)

L

H

H

aA

α(1+θ)

α

α

H

L

L

AA

α(1+θ)

α

α

H

L

L

Two allele interaction-model

bb

bB

BB

bb

bB

BB

aa

α

α

α(1+θ)

L

L

H

aA

α

α(1+θ)

α

L

H

L

AA

α(1+θ)

α

α

H

L

L

XOR model

bb

bB

BB

bb

bB

BB

aa

α

α(1+θ)

α

L

H

L

aA

α(1+θ)

α

α(1+θ)

H

L

H

AA

α

α(1+θ)

α

L

H

L

No margin-model with MAF=0.25

bb

bB

BB

bb

bB

BB

aa

0.03

0.10

0.08

L

H

H

aA

0.09

0.01

0.04

H

L

L

AA

0.10

0.01

0.00

H

L

O

  1. α, prevalence parameter, and θ, multiplicative interaction parameter. High (H), low (L), and undetermined (O) risk genotype combinations in the interaction models