Table 4 Summary of simulation with pairwise fitting (MeanP) and full multivariate joint model (MeanF)
From: Joint modelling of longitudinal lipids and time to coronary heart disease in the Jackson Heart Study
Response 1 (Y1) | Response 2 (Y2) | Response 3 (Y3) | |||||||
|---|---|---|---|---|---|---|---|---|---|
Parameter | True | MeanP | MeanF | True | MeanP | MeanF | True | MeanP | MeanF |
β0 | 3.7 | 3.7000 | 3.7011 | 4 | 3.9998 | 3.9999 | 5 | 4.9987 | 5.0004 |
β1 | -1 | -1.0000 | -1.0000 | 1 | 1.0000 | 0.9999 | 1 | 1.0002 | 1.0002 |
β2 | 0.5 | 0.5003 | 0.4980 | -0.5 | -0.4985 | -0.4990 | -0.5 | -0.4978 | -0.5011 |
ξ0 | 5 | 5.0137 | 5.0087 | 5 | 5.0111 | 5.0048 | 5 | 5.0096 | 4.9980 |
ξ1 | -0.5 | -0.5003 | -0.4996 | -0.5 | -0.4988 | -0.5006 | -0.5 | -0.5064 | -0.4920 |
σ | 0.8 | 0.8000 | 0.8001 | 1 | 1.0000 | 0.9997 | 1 | 1.0002 | 1.0002 |
d | 0.7 | 0.6987 | 0.6985 | 0.5 | 0.4995 | 0.4995 | 0.5 | 0.4987 | 0.4988 |
α | 0.5 | 0.5005 | 0.5009 | 0.5 | 0.5005 | 0.5012 | 0.5 | 0.5011 | 0.5014 |
θ | -0.8 | -0.8046 | -0.8333 | 0.6 | 0.6182 | 0.6054 | -0.5 | -0.4936 | -0.5031 |
ρ12 | -0.5 | -0.5005 | -0.5002 | ||||||
ρ13 | 0.6 | 0.6020 | 0.6018 | ||||||
ρ23 | 0.3 | 0.2999 | 0.3000 |