Research Article
Bayesian Adaptive Lasso for Regression Models with Nonignorable Missing Responses
Table 8
Bayesian estimates for type iii in the example 3.
| | Parameter | True | Mean | Median | 5% | 95% | SD | RMSE |
| | (i) Empirical Bayesian scenario | | 3.0 | 2.900 | 2.982 | 0.001 | 3.606 | 0.737 | 0.740 | | 1.5 | 1.320 | 1.437 | 0.000 | 1.799 | 0.644 | 0.666 | | 0.0 | 0.103 | 0.003 | −0.085 | 0.617 | 0.287 | 0.304 | | 0.0 | 0.055 | 0.000 | −0.082 | 0.181 | 0.240 | 0.245 | | 2.0 | 1.745 | 1.964 | 0.001 | 2.128 | 0.640 | 0.686 | | 0.0 | 0.061 | 0.000 | −0.067 | 0.464 | 0.210 | 0.218 | | 0.0 | 0.007 | −0.000 | −0.013 | 0.019 | 0.042 | 0.043 | | 0.0 | −0.003 | −0.000 | −0.052 | 0.021 | 0.035 | 0.035 | | 1.0 | 1.270 | 1.033 | 0.889 | 2.305 | 0.532 | 0.594 |
| | (ii) Hierarchical model scenario | | 3.0 | 3.195 | 3.185 | 2.974 | 3.395 | 0.140 | 0.240 | | 1.5 | 1.629 | 1.606 | 1.414 | 1.881 | 0.143 | 0.192 | | 0.0 | 0.050 | 0.034 | −0.127 | 0.300 | 0.131 | 0.139 | | 0.0 | 0.068 | 0.048 | −0.164 | 0.299 | 0.126 | 0.142 | | 2.0 | 2.139 | 2.135 | 1.900 | 2.354 | 0.137 | 0.195 | | 0.0 | 0.053 | 0.040 | −0.157 | 0.270 | 0.123 | 0.133 | | 0.0 | 0.052 | 0.048 | −0.147 | 0.245 | 0.128 | 0.137 | | 0.0 | 0.063 | 0.058 | −0.097 | 0.217 | 0.099 | 0.117 | | 1.0 | 1.250 | 1.242 | 1.145 | 1.364 | 0.075 | 0.261 |
|
|