Table 1 Used values for α _g , β _g (g = 0,1,2), c , and z

Genetic model

High risk

${\alpha }_0=\frac{2}{3}·{\alpha }_1,{\alpha }_1=2.5,{\alpha }_2=\frac{4}{3}·{\alpha }_1$

z = 0.886

β₀ = β₁ = β₂ = 0

Low risk

${\alpha }_0=\frac{2}{3}·{\alpha }_1,{\alpha }_1=1.25,{\alpha }_2=\frac{4}{3}·{\alpha }_1$

z = 0.390

β₀ = β₁ = β₂ = 0

Environmental model

High risk

α₀ = α₁ = α₂ = 7.5,

z = 0.200

β₀ = β₁ = β₂ = −0.15,

Low risk

α₀ = α₁ = α₂ = 3.75,

z = 0.200

Risk models by Amato et al. [14]

β₀ = β₁ = β₂ = −0.075,

Additive model

High risk

${\alpha }_0=\frac{2}{3}·{\alpha }_1,{\alpha }_1=7.5,{\alpha }_2=\frac{4}{3}·{\alpha }_1$,

z = 0.177

β₀ = β₁ = β₂ = −0.15,

Low risk

${\alpha }_0=\frac{2}{3}·{\alpha }_1,{\alpha }_1=3.75,{\alpha }_2=\frac{4}{3}·{\alpha }_1$,

z = 0.178

β₀ = β₁ = β₂ = −0.075,

Interaction model

High risk

α₀ = α₁ = α₂ = 7.5,

z = 0.171

β₀ = 2 · β₁, β₁ = −0.15, β₂ = 0.5·β₁,

Low risk

α₀ = α₁ = α₂ = 3.75,

z = 0.169

β₀ = 2 · β₁, β₁ = −0.075, β₂ = 0.5 · β₁,

Model 1

High risk (r = 0.150)

c = 0.05, z = 0.254

Low risk (r = 0.075)

Risk model representing a masking effect of the genetic factor

Model 2

High risk (r = 0.150)

c = 0.05, z = 0.286

Low risk (r = 0.075)

Model 3

High risk (r = 0.150)

c = 0.075, z = 0.631

Low risk (r = 0.075)

Model 4

High risk (r = 0.150)

c = 0.075, z = 0.964

Low risk (r = 0.075)