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Table 1 Parameters of marginal true effect for the 15 simulated sub-cases

From: Performance of the marginal structural cox model for estimating individual and joined effects of treatments given in combination

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

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