Table 3.
P* | Method | β1 = 0.8 | β1 =0 | ||||
---|---|---|---|---|---|---|---|
Bias† | ESE‡ | ASE§ | RMSE¶ | CP(%)** | Err(%)†† | ||
0.1 | Full | 0.022 | 0.149 | 0.144 | 0.151 | 0.95 | 5.4 |
Half DL | 0.022 | 0.149 | 0.144 | 0.151 | 0.95 | 5.4 | |
Deletion | 0.025 | 0.155 | 0.149 | 0.157 | 0.94 | 5.6 | |
MI | 0.003 | 0.153 | 0.163 | 0.153 | 0.96 | 4.6 | |
ROS | −0.034 | 0.144 | 0.144 | 0.148 | 0.95 | 4.0 | |
Bayesian | −0.024 | 0.147 | 0.144 | 0.149 | 0.95 | 5.6 | |
0.3 | Full | 0.020 | 0.147 | 0.143 | 0.148 | 0.95 | 4.5 |
Half DL | 0.023 | 0.147 | 0.143 | 0.149 | 0.95 | 4.6 | |
Deletion | 0.026 | 0.164 | 0.163 | 0.166 | 0.96 | 4.5 | |
MI | −0.042 | 0.162 | 0.194 | 0.168 | 0.97 | 2.4 | |
ROS | −0.185 | 0.131 | 0.139 | 0.226 | 0.73 | 2.4 | |
Bayesian | −0.107 | 0.139 | 0.136 | 0.175 | 0.87 | 4.6 | |
0.5 | Full | 0.021 | 0.143 | 0.143 | 0.144 | 0.95 | 5.2 |
Half DL | 0.034 | 0.145 | 0.144 | 0.149 | 0.95 | 4.7 | |
Deletion | 0.034 | 0.197 | 0.188 | 0.200 | 0.95 | 5.3 | |
MI | −0.102 | 0.192 | 0.230 | 0.217 | 0.96 | 2.7 | |
ROS | −0.348 | 0.101 | 0.125 | 0.362 | 0.18 | 1.7 | |
Bayesian | −0.189 | 0.121 | 0.127 | 0.225 | 0.68 | 5.5 |
P is the proportion of DL
Bias is defined as β-β
ESE is the empirical standard error
ASE is the average standard error
RMSE is the root mean square error
CP is the coverage probability for 95% HPD
Err is the type I error rate under null hypothesis.