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Table 2 Simulations results: relative bias of model parameters for low separation setting according to the number of individuals, n, and to the censoring rate, τ

From: Joint latent class model: Simulation study of model properties and application to amyotrophic lateral sclerosis disease

   Longitudinal sub-model Survival sub-model
n τ \(\hat {\sigma }_{b} \) \(\hat {\sigma }_{\epsilon } \) \(\hat {\beta }_{0g}\) \(\hat {\beta }_{1g}\) \(\hat {\zeta }_{1g}\) \(\hat {\zeta }_{2g}\)
     g=1 g=2 g=1 g=2 g=1 g=2 g=1 g=2
100 5 0.2157 22.3405 0.9001 1.1061 0.6187 77.4912 0.1821 5.5733 2.6803 14.4064
  10 3.3939 22.1855 1.1485 0.5399 0.2169 129.4999 0.7945 5.9039 2.4429 14.9468
  15 0.2315 22.2708 1.3985 0.0946 0.4619 175.0008 1.4886 6.5439 2.4417 16.5623
  25 1.5321 22.1504 1.8233 1.7052 1.6413 273.7677 3.1293 6.4496 3.1511 20.3027
  50 1.3699 21.7546 3.6344 5.3290 4.6976 532.4839 8.3763 9.3616 7.9156 30.6630
500 5 0.2556 21.5565 0.2726 0.0707 0.6062 36.0688 0.4649 0.1000 0.0440 0.5662
  10 1.9185 21.3569 0.4126 0.8612 1.1048 79.5267 1.1380 0.1392 0.0640 0.9334
  15 3.4729 21.2975 0.6091 1.3911 1.5773 120.2866 1.6905 0.6533 0.1375 1.3348
  25 0.1728 20.9193 0.9847 3.0168 2.8914 212.8892 3.0037 1.7108 0.1707 2.2996
  50 1.7796 19.8756 2.3534 7.4185 7.8224 444.8984 8.3268 2.8825 0.9417 4.7449
1000 5 0.0184 20.1206 0.5111 0.9550 0.8944 44.8903 0.6416 0.3375 0.6727 0.2864
  10 0.0302 20.0392 0.6927 1.5469 1.3819 87.2876 1.2630 0.2644 0.8368 0.0338
  15 0.0424 19.8918 0.8955 2.1650 1.8632 139.1406 1.8765 0.0905 0.9058 0.2346
  25 0.0763 19.6487 1.3465 3.5027 3.2279 240.5047 3.3728 0.7920 1.0379 0.6998
  50 0.2146 18.4371 2.7442 8.0212 7.5645 482.3023 8.8312 2.2757 1.4414 3.6641
5000 5 1.6360 19.8545 0.0630 0.8358 0.6849 48.0499 0.6231 0.9167 0.0643 0.5431
  10 0.0529 19.7483 0.2447 1.4861 1.2312 95.3766 1.2469 1.1418 0.1531 0.6085
  15 1.5950 19.6407 0.4366 2.1381 1.7922 142.7663 1.9299 1.3603 0.2632 0.9193
  25 0.1003 19.3803 0.8741 3.5248 3.0292 240.2600 3.4624 1.9415 0.5656 1.3986
  50 0.2294 18.2465 2.2807 7.9142 7.5368 487.8892 8.8603 3.0965 0.9679 3.1725
  1. The estimations of the error and the random intercept standard deviations (\(\hat {\sigma }_{\epsilon }\) and \(\hat {\sigma }_{b} \) respectively), of the intercept and the slope (\(\hat {\beta }_{0g}, \hat {\beta }_{1g}\) respectively) from the longitudinal sub-model and of Weibull scale and shape from the survival sub-model (\(\hat {\zeta }_{1g}\) and \(\hat {\zeta }_{2g}\) respectively) are presented. g: class membership identification