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. 2022 Feb 5;22:38. doi: 10.1186/s12874-022-01511-1

Table 2.

Simulation scenarios

Scen. λM,jI(t) λD,jI(t) λM,jC(t) λD,jC(t) Weight for fatal event Weight for non-fatal event
Wei-Lachin Rauch and Bakal Wei-Lachin Rauch and Bakal
1a 0.25·0.5 0.25·0.5 0.25 0.25 0.5263 1 0.4737 0.9
1b proportional time independent hazards for event type 0.5882 1 0.4118 0.7
1c assumptions for approaches by Wei-Lachin and Rauch fulfilled 0.6667 1 0.3333 0.5
1d 0.7692 1 0.2308 0.3
1e 0.9091 1 0.0909 0.1
2a 0.25·0.5 0.25·0.7 0.25 0.25 0.5263 1 0.4737 0.9
2b see Scenario 1 for underlying assumptions 0.5882 1 0.4118 0.7
2c 0.6667 1 0.3333 0.5
2d 0.7692 1 0.2308 0.3
2e 0.9091 1 0.0909 0.1
3a 0.25·0.7 0.25·0.5 0.25 0.25 0.5263 1 0.4737 0.9
3b see Scenario 1 for underlying assumptions 0.5882 1 0.4118 0.7
3c 0.6667 1 0.3333 0.5
3d 0.7692 1 0.2308 0.3
3e 0.9091 1 0.0909 0.1
4a 0.25·1.5 0.25·0.7 0.25 0.25 0.5263 1 0.4737 0.9
4b see Scenario 1 for underlying assumptions 0.5882 1 0.4118 0.7
4c 0.6667 1 0.3333 0.5
4d 0.7692 1 0.2308 0.3
4e 0.9091 1 0.0909 0.1
5a 0.25·0.7 0.25·1.5 0.25 0.25 0.5263 1 0.4737 0.9
5b see Scenario 1 for underlying assumptions 0.5882 1 0.4118 0.7
5c 0.6667 1 0.3333 0.5
5d 0.7692 1 0.2308 0.3
5e 0.9091 1 0.0909 0.1
6a 0.25·0.5 0.1t·0.7 0.25 0.1t 0.5263 1 0.4737 0.9
6b proportional hazards for each event type 0.5882 1 0.4118 0.7
6c time dependent hazards for one event type 0.6667 1 0.3333 0.5
6d assumptions for approaches by Wei-Lachin and Rauch fulfilled 0.7692 1 0.2308 0.3
6e 0.9091 1 0.0909 0.1
7a 0.25·0.7 0.1t·0.5 0.25 0.1t 0.5263 1 0.4737 0.9
7b see Scenario 6 for underlying assumptions 0.5882 1 0.4118 0.7
7c 0.6667 1 0.3333 0.5
7d 0.7692 1 0.2308 0.3
7e 0.9091 1 0.0909 0.1
8a 0.1t·0.5 0.25·0.7 0.1t 0.25 0.5263 1 0.4737 0.9
8b see Scenario 6 for underlying assumptions 0.5882 1 0.4118 0.7
8c 0.6667 1 0.3333 0.5
8d 0.7692 1 0.2308 0.3
8e 0.9091 1 0.0909 0.1
9a 0.1t·0.7 0.25·0.5 0.1t 0.25 0.5263 1 0.4737 0.9
9b see Scenario 6 for underlying assumptions 0.5882 1 0.4118 0.7
9c 0.6667 1 0.3333 0.5
9d 0.7692 1 0.2308 0.3
9e 0.9091 1 0.0909 0.1
10a 0.192t−0.2 0.084t−0.3 0.28t−0.3 0.32t−0.2 0.5263 1 0.4737 0.9
10b non-proportional hazards for both event types (Weibull distributions) 0.5882 1 0.4118 0.7
10c assumptions for approach by Wei-Lachin not fulfilled 0.6667 1 0.3333 0.5
10d assumptions for approach by Rauch et al. fulfilled 0.7692 1 0.2308 0.3
10e 0.9091 1 0.0909 0.1
11a 0.084t−0.3 0.192t−0.2 0.32t−0.2 0.28t−0.3 0.5263 1 0.4737 0.9
11b see Scenario 10 for underlying assumptions 0.5882 1 0.4118 0.7
11c 0.6667 1 0.3333 0.5
11d 0.7692 1 0.2308 0.3
11e 0.9091 1 0.0909 0.1

Scen. =Scenario; λM,jI(t),λD,jI(t),λM,jC(t), and λD,jC(t) are the hazards for the non-fatal (M) and fatal event (D) in the intervention (I) and control (C) group for all strata j, respectively