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Table 1 Simulations results: relative bias of model parameters for high 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 0.1053 21.1797 0.0429 1.3974 0.0281 10.7052 0.3018 3.2362 2.5023 9.8304
  10 0.0961 21.2395 0.1421 1.6954 0.0748 38.1642 0.2923 3.1830 2.4243 10.0367
  15 0.0997 21.3986 0.2846 1.9987 0.1936 59.0676 0.4148 3.6286 2.3160 10.5283
  25 0.0824 21.3810 0.4687 3.0567 0.4054 82.7586 0.4455 3.6646 2.2878 11.9084
  50 1.7125 21.8392 1.3486 5.3694 0.8271 120.1328 1.1201 7.5050 3.5401 14.0533
500 5 0.2267 21.4488 0.1534 0.1412 0.0685 25.4826 0.0591 0.5932 0.0332 0.2021
  10 0.2230 21.3820 0.2346 0.2261 0.1317 35.8174 0.1892 0.4996 0.1561 0.0727
  15 0.2062 21.4656 0.3380 0.4738 0.2027 48.1685 0.3062 0.0501 0.1232 0.0229
  25 0.2011 21.4412 0.5670 1.3390 0.4127 74.1988 0.2546 0.6707 0.4496 0.1703
  50 0.1945 21.6664 1.3876 3.7674 0.9627 116.6916 0.7377 1.6005 0.6217 1.4936
1000 5 0.0004 20.1935 0.3260 0.7563 0.2925 8.4122 0.1684 0.1125 0.4160 0.2180
  10 0.0015 20.2002 0.4197 1.0629 0.3599 19.7922 0.3399 0.0777 0.4994 0.0130
  15 0.0117 20.1928 0.5181 1.3744 0.4324 31.9018 0.3658 0.2015 0.3471 0.1781
  25 1.6848 20.2110 0.7436 2.1019 0.6690 60.0292 0.4954 0.6364 0.1559 0.4325
  50 0.0072 20.3934 1.5776 4.6004 1.0896 102.7405 0.8822 1.3124 0.5011 1.9393
5000 5 1.6342 19.9957 0.0242 0.5270 0.2185 16.5831 0.1929 0.6064 0.0605 0.2997
  10 1.6315 19.9945 0.1226 0.8526 0.3075 31.0770 0.2985 0.7797 0.0810 0.3320
  15 0.0380 19.9728 0.2215 1.2091 0.3905 44.6046 0.4162 0.8876 0.0823 0.5370
  25 0.0449 20.0112 0.4584 1.9183 0.5515 72.0024 0.6396 1.2441 0.0648 0.8037
  50 0.0400 20.2601 1.2738 4.3253 1.0406 113.4169 1.0629 1.8816 0.5238 1.7593
  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