A DAG-based comparison of interventional effect underestimation between composite endpoint and multi-state analysis in cardiovascular trials

Jahn-Eimermacher, Antje; Ingel, Katharina; Preussler, Stella; Bayes-Genis, Antoni; Binder, Harald

doi:10.1186/s12874-017-0366-9

Table 3 Simulation results for λ ₁=0.14 and λ ₂=1.17

From: A DAG-based comparison of interventional effect underestimation between composite endpoint and multi-state analysis in cardiovascular trials

Simulation parameters				Results of 1st-event-analyses						Results of all-events-analyses
exp(β ₁)	exp(β ₂)	θ	ρ	\(\exp (\widehat {\beta _{CE}})\)	\(\widehat {SE}(\beta _{CE})\)	\(\exp (\widehat {\beta _{1}})\)	\(\widehat {SE}(\beta _{1})\)	\(\exp (\widehat {\beta _{2}})\)	\(\widehat {SE}(\beta _{2})\)	\(\exp (\widehat {\beta _{CE}})\)	\(\widehat {SE}(\beta _{CE})\)	\(\exp (\widehat {\beta _{1}})\)	\(\widehat {SE}(\beta _{1})\)	\(\exp (\widehat {\beta _{2}})\)	\(\widehat {SE}(\beta _{2})\)
0.75	0.75	0.00	1.00	0.75	0.11	0.75	0.37	0.75	0.12	0.75	0.08	0.75	0.26	0.75	0.09
0.75	0.75	0.00	1.05	0.75	0.11	0.74	0.37	0.75	0.12	0.74	0.08	0.73	0.25	0.74	0.09
0.75	0.75	0.00	1.10	0.75	0.12	0.75	0.37	0.75	0.12	0.73	0.09	0.73	0.25	0.73	0.09
0.75	0.75	0.00	1.15	0.75	0.12	0.76	0.37	0.75	0.12	0.72	0.09	0.72	0.24	0.72	0.10
0.75	0.75	0.00	1.20	0.75	0.12	0.75	0.37	0.75	0.12	0.70	0.09	0.70	0.24	0.70	0.10
0.75	0.75	0.00	1.25	0.75	0.11	0.74	0.37	0.75	0.12	0.68	0.10	0.68	0.23	0.68	0.11
0.75	0.75	0.00	1.30	0.75	0.12	0.74	0.37	0.75	0.12	0.65	0.12	0.65	0.22	0.65	0.13
0.75	0.75	0.60	1.00	0.80	0.13	0.80	0.40	0.80	0.13	0.76	0.12	0.76	0.26	0.76	0.12
0.75	0.75	0.60	1.05	0.80	0.13	0.80	0.40	0.80	0.13	0.75	0.12	0.75	0.26	0.75	0.13
0.75	0.75	0.60	1.10	0.80	0.13	0.80	0.41	0.80	0.13	0.74	0.13	0.74	0.26	0.74	0.13
0.75	0.75	0.60	1.15	0.80	0.12	0.80	0.40	0.80	0.13	0.73	0.13	0.72	0.24	0.73	0.14
0.75	0.75	0.60	1.20	0.80	0.13	0.80	0.41	0.81	0.13	0.73	0.14	0.71	0.24	0.73	0.15
0.75	0.75	0.60	1.25	0.81	0.13	0.80	0.40	0.81	0.13	0.72	0.15	0.70	0.23	0.73	0.15
0.75	0.75	0.60	1.30	0.81	0.13	0.80	0.41	0.81	0.13	0.72	0.15	0.69	0.22	0.72	0.16
0.92	0.75	0.00	1.00	0.77	0.12	0.92	0.35	0.75	0.13	0.77	0.08	0.92	0.24	0.75	0.09
0.92	0.75	0.00	1.05	0.77	0.11	0.92	0.35	0.75	0.12	0.76	0.08	0.90	0.24	0.74	0.09
0.92	0.75	0.00	1.10	0.77	0.12	0.92	0.35	0.75	0.12	0.75	0.09	0.90	0.23	0.73	0.09
0.92	0.75	0.00	1.15	0.77	0.12	0.93	0.34	0.75	0.12	0.74	0.09	0.88	0.23	0.72	0.10
0.92	0.75	0.00	1.20	0.77	0.11	0.92	0.35	0.75	0.12	0.72	0.09	0.86	0.22	0.70	0.10
0.92	0.75	0.00	1.25	0.77	0.12	0.93	0.35	0.75	0.12	0.70	0.11	0.83	0.22	0.68	0.11
0.92	0.75	0.00	1.30	0.77	0.12	0.92	0.35	0.75	0.12	0.66	0.12	0.79	0.21	0.65	0.12
0.92	0.75	0.60	1.00	0.82	0.12	0.98	0.38	0.80	0.13	0.77	0.11	0.92	0.25	0.75	0.12
0.92	0.75	0.60	1.05	0.82	0.12	0.98	0.38	0.80	0.13	0.76	0.12	0.91	0.24	0.74	0.13
0.92	0.75	0.60	1.10	0.82	0.13	0.98	0.38	0.80	0.13	0.75	0.12	0.89	0.24	0.73	0.13
0.92	0.75	0.60	1.15	0.82	0.12	0.98	0.39	0.80	0.13	0.74	0.13	0.87	0.23	0.72	0.14
0.92	0.75	0.60	1.20	0.82	0.13	0.98	0.38	0.80	0.13	0.73	0.14	0.85	0.22	0.71	0.15
0.92	0.75	0.60	1.25	0.82	0.12	0.97	0.38	0.80	0.13	0.72	0.15	0.82	0.21	0.71	0.15
0.92	0.75	0.60	1.30	0.82	0.13	0.98	0.38	0.80	0.14	0.72	0.15	0.81	0.21	0.70	0.16

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