Table 1 Simulation Results: Parameter Estimates (Est) with True Value (TV), RB, RMS Error, CP, and DIC for Each Model
From: Flexible Bayesian semiparametric mixed-effects model for skewed longitudinal data
Par | TV | Method | Models | |||
|---|---|---|---|---|---|---|
MoSTST | MoNST | MoSNSN | MoNN | |||
\({\alpha }_{1}\) | 27.5 | Est | 27.505 | 27.506 | 27.456 | 29.981 |
RB | 0.000 | 0.036 | -0.002 | 0.090 | ||
RMS | 0.123 | 0.502 | 0.564 | 1.984 | ||
\({\text{CP}}\) | 94.76 | 94.91 | 93.71 | 79.34 | ||
\({\alpha }_{2}\) | -5.0 | Est | -4.870 | -4.867 | -4.891 | -4.874 |
RB | -0.026 | -0.027 | -0.022 | -0.025 | ||
RMS | 0.155 | 0.159 | 0.134 | 0.160 | ||
\({\text{CP}}\) | 67.27 | 66.80 | 72.09 | 53.44 | ||
\({\alpha }_{3}\) | -4.0 | Est | -3.945 | -3.919 | -3.939 | -3.845 |
RB | -0.014 | -0.020 | -0.015 | -0.039 | ||
RMS | 0.085 | 0.114 | 0.088 | 0.175 | ||
\({\text{CP}}\) | 86.47 | 87.13 | 84.18 | 85.24 | ||
\({\lambda }_{1}\) | -9.0 | Est | -8.933 | -8.923 | -8.972 | -8.851 |
RB | -0.007 | -0.009 | -0.003 | -0.017 | ||
RMS | 0.399 | 0.198 | 0.439 | 0.225 | ||
CP | 95.24 | 95.00 | 95.89 | 87.93 | ||
\({\lambda }_{2}\) | -25.0 | Est | -25.520 | -25.454 | -25.566 | -25.208 |
\({\text{RB}}\) | 0.021 | 0.018 | 0.023 | 0.008 | ||
RMS | 0.605 | 0.541 | 0.653 | 0.348 | ||
CP | 60.04 | 62.96 | 59.60 | 87.93 | ||
\({\lambda }_{3}\) | -5.0 | Est | -5.056 | -4.960 | -5.047 | -4.856 |
RB | 0.011 | -0.008 | 0.010 | -0.029 | ||
RMS | 0.521 | 0.140 | 0.561 | 0.193 | ||
CP | 96.62 | 94.96 | 97.58 | 79.38 | ||
\({\sigma }_{\epsilon }^{2}\) | 0.5 | Est | 0.471 | 0.487 | 0.458 | 4.783 |
RB | 0.058 | 0.026 | 0.084 | 8.565 | ||
RMS | 0.07 | 0.064 | 0.077 | 4.285 | ||
CP | 92.69 | 94.93 | 90.64 | 32.51 | ||
\({\sigma }_{{\varphi }_{1}}^{2}\) | 0.1 | Est | 0.087 | 0.113 | 0.103 | 0.197 |
RB | -0.131 | 0.130 | 0.025 | 0.969 | ||
RMS | 0.035 | 0.061 | 0.038 | 0.145 | ||
CP | 96.53 | 94.49 | 95.40 | 86.29 | ||
\({\sigma }_{{\varphi }_{2}}^{2}\) | 0.3 | Est | 0.329 | 0.397 | 0.367 | 0.499 |
RB | 0.097 | 0.323 | 0.222 | 0.662 | ||
RMS | 0.172 | 0.237 | 0.209 | 0.378 | ||
CP | 94.29 | 91.29 | 92.96 | 90.36 | ||
\({\sigma }_{{\varphi }_{3}}^{2}\) | 0.3 | Est | 0.29 | 0.391 | 0.321 | 0.67 |
RB |  − 0.032 | 0.304 | 0.07 | 1.232 | ||
RMS | 0.178 | 0.324 | 0.189 | 0.655 | ||
CP | 95.96 | 94.56 | 94.42 | 89.33 | ||
\({\sigma }_{{\varphi }_{4}}^{2}\) | 0.4 | Est | 0.4 | 0.662 | 0.476 | 0.815 |
RB | 0 | 0.655 | 0.19 | 1.038 | ||
RMS | 0.17 | 0.413 | 0.241 | 0.549 | ||
CP | 95.64 | 87.47 | 92.91 | 80.22 | ||
DIC | 13,249.70 | 11,674.80 | 12,997.80 | 14,528.40 | ||