Figure 7.

Smoothed kernel density plots of MSE (row 1), AIC (row 2) and BIC (row 3) for data simulated based on a 2×3 contingency table under interactions of Type A (left column), Type D (middle column) and compositional epistasis (right column). These results correspond to the parametric configuration where β = log(2) = 0.6931 = δ (Type A and Type D interactions), β = 0 = δ (compositional epistasis), θ₁₁ = 2 (Type A interaction and compositional epistasis), θ₁₁ = −2 (Type D interaction), and ρ = 0.50. The smoothed kernel density estimates were obtained using the density function in the R programming language with the default settings for bandwidth. Under Type D interaction, the MSEs of the optimal additive GJ model and the additive logistic model are similar. Hence, the two curves overlap. In order to distinguish the two colors (green and red), we have shown these two curves using dashed lines for ease of visualization. Similar approach is used to show the AIC curves for the full logistic and the optimal additive GJ models under Type A interaction and compositional epistasis.