Fig. 3

Estimated treatment effects (β) and corresponding standard errors after analysis with 5 different models in scenario 1-6: 1)Null scenario: no effect of treatment, 2) RCT scenario: treatment randomly assigned, 3) Confounder-adjusted, 4) Confounder-adjusted with instrument, 5) Confounder-adjusted and subject to selection bias, 6) Confounder-adjusted and subject to selection bias with instrument