Table 2 Parameters of the four models

Model I

$\log \frac{p}{1-p}={\beta }_0+{\beta }_1{x}_1+{\beta }_{123}{x}_1{x}_2{x}_3$

β₁ = log(2), β₁₂₃ = log(5)

Model II

$\log \frac{p}{1-p}={\beta }_0+{\beta }_1{x}_1+{\beta }_2{x}_2+{\beta }_3{x}_3$

β₁ = β₂ = β₃ = log(2)

Model III

$\log \frac{p}{1-p}={\beta }_0+{\displaystyle \sum _{i=1}^6{\beta }_i{x}_i}+{\beta }_7{x}_7{x}_8+{\beta }_8{x}_9{x}_{10}$

β _i = log(2), i = 1,..., 6; β₇ = β₈ = log(3)

Model IV

$\log \frac{p}{1-p}={\beta }_0+{\displaystyle \sum _{i=1}^{10}{\beta }_i{x}_i}$

β _i = log(2), i = 1,..., 10