Table 1.

Parameters of marginal true effect for the 15 simulated sub-cases

Situations	Case 1 α1 = 0.004, ω1 = 0.004 Strong confounding for A2	Case 2 α1 = 0.004, ω1 = 0.001 Weak confounding for A2	Case 3 α1 = 0.004, ω1 = 0.000 No confounding for A2
A	β1 = 0.5, β2 = 0.5, β3 = 0	β1 = 0.5, β2 = 0.5, β3 = 0	β1 = 0.5, β2 = 0.5, β3 = 0
B	β1 = 0.5, β2 = 0.5, β3 = 0.5	β1 = 0.5, β2 = 0.5, β3 = 0.5	β1 = 0.5, β2 = 0.5, β3 = 0.5
C	β1 = 0, β2 = 0.5, β3 = 0	β1 = 0, β2 = 0.5, β3 = 0	β1 = 0, β2 = 0.5, β3 = 0
D	β1 = 0, β2 = 0, β3 = 0.5	β1 = 0, β2 = 0, β3 = 0.5	β1 = 0, β2 = 0, β3 = 0.5
E	β1 = 0, β2 = 0, β3 = 0	β1 = 0, β2 = 0, β3 = 0	β1 = 0, β2 = 0, β3 = 0

α₁ and ω₁ are the coefficients of the time-dependent confounder in the functions of prediction for treatment A₁ and A₂, respectively