Table 5.
Bias and standard deviation (sd) for the estimated variance components , 0 ≤ j ≤ 3 and in the simulation study. n denotes sample size; T denotes total number of observations for each individual; GM denotes generative model. For GM 1 and GM 3, the model doesn’t include bi1 and bi3, so the corresponding entries in the table are left blank. The result is based on 1,000 replicates for each setting.
| n | T | GM | bias | sd | bias | sd | bias | sd | bias | sd | bias | sd |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 30 | 0.024 | 0.400 | - | - | −0.008 | 1.137 | - | - | −0.003 | 0.049 | ||
| 50 | 0.013 | 0.300 | - | - | −0.020 | 0.868 | - | - | −0.002 | 0.035 | ||
| 1 | 10 | 100 | 0.017 | 0.210 | - | - | −0.031 | 0.614 | - | - | −0.001 | 0.024 |
| 200 | 0.004 | 0.151 | - | - | −0.021 | 0.431 | - | - | −0.000 | 0.017 | ||
| 30 | 0.012 | 0.319 | - | - | −0.025 | 1.067 | - | - | −0.003 | 0.032 | ||
| 50 | 0.010 | 0.246 | - | - | −0.026 | 0.822 | - | - | −0.001 | 0.023 | ||
| 1 | 20 | 100 | 0.008 | 0.174 | - | - | −0.041 | 0.579 | - | - | −0.001 | 0.016 |
| 200 | 0.004 | 0.126 | - | - | −0.021 | 0.403 | - | - | −0.000 | 0.011 | ||
| 30 | 0.003 | 0.293 | - | - | −0.036 | 1.036 | - | - | −0.002 | 0.025 | ||
| 50 | 0.001 | 0.232 | - | - | −0.037 | 0.809 | - | - | −0.001 | 0.018 | ||
| 1 | 30 | 100 | 0.008 | 0.163 | - | - | −0.040 | 0.569 | - | - | −0.001 | 0.013 |
| 200 | 0.000 | 0.116 | - | - | −0.023 | 0.399 | - | - | −0.000 | 0.009 | ||
| 30 | 0.047 | 0.498 | −0.001 | 0.058 | −0.003 | 1.238 | −0.003 | 0.040 | −0.003 | 0.048 | ||
| 50 | 0.048 | 0.392 | −0.005 | 0.046 | −0.057 | 0.935 | −0.004 | 0.033 | −0.001 | 0.038 | ||
| 2 | 10 | 100 | 0.000 | 0.260 | −0.003 | 0.033 | −0.019 | 0.646 | −0.001 | 0.022 | 0.000 | 0.027 |
| 200 | 0.005 | 0.184 | −0.003 | 0.021 | −0.043 | 0.451 | −0.001 | 0.015 | −0.001 | 0.019 | ||
| 30 | 0.009 | 0.367 | −0.003 | 0.043 | −0.029 | 1.094 | −0.003 | 0.032 | −0.000 | 0.031 | ||
| 50 | 0.022 | 0.302 | −0.003 | 0.033 | −0.045 | 0.854 | −0.002 | 0.025 | 0.000 | 0.025 | ||
| 2 | 20 | 100 | 0.002 | 0.200 | −0.002 | 0.021 | −0.016 | 0.597 | −0.000 | 0.017 | 0.001 | 0.017 |
| 200 | −0.001 | 0.142 | −0.001 | 0.015 | −0.029 | 0.418 | −0.001 | 0.012 | −0.001 | 0.012 | ||
| 30 | 0.001 | 0.334 | −0.002 | 0.036 | −0.045 | 1.065 | −0.003 | 0.029 | 0.000 | 0.025 | ||
| 50 | 0.012 | 0.268 | −0.003 | 0.027 | −0.049 | 0.826 | −0.002 | 0.022 | 0.000 | 0.019 | ||
| 2 | 30 | 100 | 0.002 | 0.183 | −0.001 | 0.019 | −0.028 | 0.584 | 0.000 | 0.016 | 0.000 | 0.013 |
| 200 | −0.003 | 0.127 | −0.001 | 0.013 | −0.029 | 0.409 | −0.001 | 0.011 | −0.000 | 0.009 | ||
| 30 | 0.126 | 0.434 | - | - | −0.710 | 1.159 | - | - | 0.004 | 0.046 | ||
| 50 | 0.105 | 0.329 | - | - | −0.771 | 0.860 | - | - | 0.005 | 0.034 | ||
| 3 | 10 | 100 | 0.094 | 0.228 | - | - | −0.810 | 0.604 | - | - | 0.005 | 0.025 |
| 200 | 0.080 | 0.159 | - | - | −0.796 | 0.429 | - | - | 0.006 | 0.018 | ||
| 30 | 0.059 | 0.329 | - | - | −0.380 | 1.056 | - | - | 0.000 | 0.029 | ||
| 50 | 0.053 | 0.262 | - | - | −0.428 | 0.800 | - | - | 0.001 | 0.023 | ||
| 3 | 20 | 100 | 0.040 | 0.174 | - | - | −0.429 | 0.575 | - | - | 0.001 | 0.017 |
| 200 | 0.038 | 0.125 | - | - | −0.430 | 0.406 | - | - | 0.002 | 0.011 | ||
| 30 | 0.040 | 0.304 | - | - | −0.268 | 1.029 | - | - | −0.000 | 0.024 | ||
| 50 | 0.030 | 0.237 | - | - | −0.296 | 0.782 | - | - | −0.001 | 0.018 | ||
| 3 | 30 | 100 | 0.027 | 0.162 | - | - | −0.306 | 0.569 | - | - | 0.000 | 0.013 |
| 200 | 0.023 | 0.115 | - | - | −0.299 | 0.395 | - | - | 0.001 | 0.009 | ||