BMC Medical Research Methodology

Table 1 Simulation Scenarios

From: Systematic comparison of approaches to analyze clustered competing risks data

Scen.	\(\lambda _{0,PE}(t)\)	\(\lambda _{0,CE}(t)\)	\(HR_{PE}\)	\(HR_{CE}\)	\(log(HR_{PE})\)	\(log(HR_{CE})\)	\(\theta\)	cluster count
1a	\(4\cdot t\)	\(4\cdot t\)	0.5	0.7	\(-0.69\)	\(-0.36\)	0	5
1b								10
1c								25
2a	\(4\cdot t\)	\(4\cdot t\)	0.5	0.7	\(-0.69\)	\(-0.36\)	0.5	5
2b								10
2c								25
3a	\(4\cdot t\)	\(4\cdot t\)	0.7	1	\(-0.36\)	0	0.5	5
3b								10
3c								25
4a	\(4\cdot t\)	\(4\cdot t\)	0.5	0.7	\(-0.69\)	\(-0.36\)	1	5
4b								10
4c								25
5a	\(4\cdot t\)	\(4\cdot t\)	0.7	1	\(-0.36\)	0	1	5
5b								10
5c								25
6a	\(t^{-0.5}\)	\(4\cdot t\)	0.5	0.7	\(-0.69\)	\(-0.36\)	0.5	5
6b								10
6c								25
7a	\(t^{-0.5}\)	\(4\cdot t\)	0.7	1	\(-0.36\)	0	0.5	5
7b								10
7c								25
8a	\(t^{-0.5}\)	\(4\cdot t\)	0.5	0.7	\(-0.69\)	\(-0.36\)	1	5
8b								10
8c								25
9a	\(t^{-0.5}\)	\(4\cdot t\)	0.7	1	\(-0.36\)	0	1	5
9b								10
9c								25
10a	\(4\cdot t\)	\(t^{-0.5}\)	0.5	0.7	\(-0.69\)	\(-0.36\)	0.5	5
10b								10
10c								25
11a	\(4\cdot t\)	\(t^{-0.5}\)	0.7	1	\(-0.36\)	0	0.5	5
11b								10
11c								25
12a	\(4\cdot t\)	\(t^{-0.5}\)	0.5	0.7	\(-0.69\)	\(-0.36\)	1	5
12b								10
12c								25
13a	\(4\cdot t\)	\(t^{-0.5}\)	0.7	1	\(-0.36\)	0	1	5
13b								10
13c								25

Scen. =Scenario; log=natural logarithm; \(\lambda _{0,PE}(t)\), \(\lambda _{0,CE}(t)\), \(HR_{PE}\), and \(HR_{CE}\) are the baseline hazards and hazard ratios for the primary endpoint (PE) and competing event (CE), respectively

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