joineRML: a joint model and software package for time-to-event and multivariate longitudinal outcomes

Table 3 Results of simulation study

Parameter	True value	Mean estimated value	Empirical SE	Mean SE	Bias	MSE	Coverage
D ₁₁	0.2500	0.2411	0.0435	—	−0.0089	0.0020	—
D ₂₁	0.0000	0.0010	0.0136	—	0.0010	0.0002	—
D ₃₁	−0.1250	−0.1212	0.0295	—	0.0038	0.0009	—
D ₄₁	0.0000	−0.0006	0.0127	—	−0.0006	0.0002	—
D ₂₂	0.0400	0.0396	0.0072	—	−0.0004	0.0001	—
D ₃₂	0.0000	−0.0002	0.0138	—	−0.0002	0.0002	—
D ₄₂	0.0000	−0.0001	0.0055	—	−0.0001	0.0000	—
D ₃₃	0.2500	0.2420	0.0400	—	−0.0080	0.0017	—
D ₄₃	0.0000	0.0007	0.0134	—	0.0007	0.0002	—
D ₄₄	0.0400	0.0399	0.0075	—	−0.0001	0.0001	—
β _0,1	0.0000	0.0028	0.0612	0.0660	0.0028	0.0038	0.9660
β _1,1	1.0000	1.0012	0.0218	0.0229	0.0012	0.0005	0.9500
β _2,1	1.0000	1.0010	0.0449	0.0470	0.0010	0.0020	0.9540
β _3,1	1.0000	0.9932	0.0897	0.0925	−0.0068	0.0081	0.9440
\(\sigma _{1}^{2}\)	0.2500	0.2506	0.0165	0.0171	0.0006	0.0003	0.9560
β _0,2	0.0000	−0.0026	0.0637	0.0655	−0.0026	0.0041	0.9660
β _1,2	−1.0000	−1.0011	0.0229	0.0223	−0.0011	0.0005	0.9480
β _2,2	0.0000	0.0008	0.0399	0.0472	0.0008	0.0016	0.9700
β _3,2	0.5000	0.5061	0.0894	0.0923	0.0061	0.0080	0.9540
\(\sigma _{2}^{2}\)	0.2500	0.2501	0.0162	0.0171	0.0001	0.0003	0.9540
γ _v1	0.0000	0.0011	0.1243	0.1392	0.0011	0.0155	0.9720
γ _v2	1.0000	1.0487	0.2837	0.2750	0.0487	0.0829	0.9340
γ _y1	−0.5000	−0.5121	0.1936	0.2084	−0.0121	0.0376	0.9560
γ _y2	1.0000	1.0311	0.2220	0.2145	0.0311	0.0502	0.9400

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