A Two-Stage Joint Model for Nonlinear Longitudinal Response and a Time-to-Event with Application in Transplantation Studies

Table 1

Parameter estimates, standard errors, and 95% confidence intervals from the nonlinear mixed model for RR.

Effect	Parameter	Estimate	SE	(95% CI)
Fixed effects
𝜙1
Constant	𝛽10	2.838	0.094	(2.654; 3.022)
Donor Age	𝛽11	0.005	0.002	(0.001; 0.009)
Donor Type (HB versus NHB)	𝛽12	−0.102	0.068	(−0.235; 0.031)
Donor Region 1 versus 3	𝛽13	−0.078	0.065	(−0.205; 0.049)
Donor Region 2 versus 3	𝛽14	−0.072	0.072	(−0.213; 0.069)
𝜙2
Constant	𝛽20	3.510	0.211	(3.096; 3.924)
Donor Age	𝛽21	0.004	0.004	(−0.004; 0.012)
Donor Type (HB versus NHB)	𝛽22	−0.064	0.154	(−0.365; 0.238)
Donor Region 1 versus 3	𝛽23	−0.107	0.147	(−0.395; 0.181)
Donor Region 2 versus 3	𝛽24	0.033	0.163	(−0.286; 0.352)
𝜙3
Constant	𝛽30	1.010	0.186	(0.645; 1.375)
Donor Age	𝛽31	0.003	0.003	(−0.003; 0.009)
Donor Type (HB versus NHB)	𝛽32	0.402	0.130	(0.147; 0.657)
Donor Region 1 versus 3	𝛽33	−0.284	0.125	(−0.529; −0.039)
Donor Region 2 versus 3	𝛽34	−0.032	0.138	(−0.302; 0.238)
Random effects
se(𝛼1)	𝑑11	0.396
se(𝛼2)	𝑑22	0.955
se(𝛼3)	𝑑33	0.572
cov(𝛼1,𝛼2)	𝑑12	0.257
cov(𝛼1,𝛼3)	𝑑13	−0.053
cov(𝛼2,𝛼3)	𝑑23	0.023
se(𝜀𝑖𝑗)	𝜎	7.507