|
joineRML (NR)
|
joineRML (GN)
|
Bootstrap
|
joineR
|
---|
|
Estimate
|
SE
|
95% CId
|
Estimate
|
SE
|
95% CId
|
SE
|
95% CIe
|
Estimate
|
SE
|
95% CIe
|
---|
β
0,1
|
0.5541
|
0.0858
|
(0.3859, 0.7223)
|
0.5549
|
0.0846
|
(0.3892, 0.7207)
|
0.0800
|
(0.4264, 0.7435)
|
0.5545
|
0.0838
|
(0.3802, 0.7031)
|
β
1,1
|
0.2009
|
0.0201
|
(0.1616, 0.2402)
|
0.2008
|
0.0201
|
(0.1614, 0.2402)
|
0.0204
|
(0.1669, 0.2468)
|
0.1808
|
0.0209
|
(0.1430, 0.2324)
|
β
0,2
|
3.5549
|
0.0356
|
(3.4850, 3.6248)
|
3.5546
|
0.0357
|
(3.4846, 3.6245)
|
0.0255
|
(3.4972, 3.5904)
|
3.5437
|
0.0333
|
(3.4418, 3.6095)
|
β
1,2
|
−0.1245
|
0.0101
|
(−0.1444, −0.1047)
|
−0.1246
|
0.0101
|
(−0.1444, −0.1047)
|
0.0120
|
(−0.1489, −0.1063)
|
−0.0997
|
0.0113
|
(−0.1256, −0.0773)
|
β
0,3
|
0.8304
|
0.0212
|
(0.7888, 0.8719)
|
0.8301
|
0.0210
|
(0.7888, 0.8713)
|
0.0196
|
(0.7953, 0.8638)
|
0.8233
|
0.0220
|
(0.7818, 0.8677)
|
β
1,3
|
−0.0577
|
0.0062
|
(−0.0699, −0.0456)
|
−0.0577
|
0.0062
|
(−0.0698, −0.0455)
|
0.0057
|
(−0.0698, −0.0486)
|
−0.0447
|
0.0052
|
(−0.0555, −0.0362)
|
γ
v
|
0.0462
|
0.0151
|
(0.0166, 0.0759)
|
0.0462
|
0.0152
|
(0.0165, 0.0759)
|
0.0173
|
(0.0198, 0.0880)
|
0.0575a
|
0.0123a
|
(0.0314, 0.0760)a
|
| | | | | | | | |
0.0413b
|
0.0150b
|
(0.0113, 0.0714)b
|
| | | | | | | | |
0.0424c
|
0.0157c
|
(0.0146, 0.0724)c
|
γ
bil
|
0.8181
|
0.2046
|
(0.4171, 1.2191)
|
0.8187
|
0.2036
|
(0.4197, 1.2177)
|
0.2153
|
(0.5172, 1.4021)
|
1.2182
|
0.1654
|
(0.9800, 1.5331)
|
γ
alb
|
−1.7060
|
0.6181
|
(−2.9173, −0.4946)
|
−1.6973
|
0.6163
|
(−2.9053, −0.4893)
|
0.7562
|
(−3.3862, −0.5188)
|
−3.0770
|
0.6052
|
(−4.7133, −2.1987)
|
γ
pro
|
−2.2085
|
1.6070
|
(−5.3582, 0.9412)
|
−2.2148
|
1.6133
|
(−5.3768, 0.9472)
|
1.6094
|
(−5.3050, 0.6723)
|
−7.2078
|
1.2640
|
(−10.5247, −5.2616)
|
- Notation: SE = standard error; CI = confidence interval; NR = one-step Newton-Raphson update for γ; GN = one-step Gauss-Newton-like update for γ
- aSeparate model fit for serBilir
- bSeparate model fit for albumin
- cSeparate model fit for prothrombin
- dSEs are calculated from the inverse profile empirical information matrix, and confidence intervals are based on normal approximations of the type \(\hat {\boldsymbol {\theta }} \pm 1.96 \text {SE}(\hat {\boldsymbol {\theta }})\), where \(\hat {\boldsymbol {\theta }}\) denote the estimated maximum likelihood estimates
- eSEs and confidence intervals are derived from B=100 bootstrap samples, with confidence intervals based on the 2.5% and 97.5% percentiles. NB. one model failed to converge using joineRML within the maximum number of MC iterations, and so SEs and CIs are based on 99 bootstrap samples only