Table 3.
The mean, standard deviation and mean squared error for 1, 000 degrees of freedom estimates in each simulation setting. Results are displayed for both the lmerTest and direct-SW methods, alongside “true” mean values, which were established using the moment-matching based approach outlined in Sect. 3.1.2 and computed using 1, 000, 000 simulation instances
| Method | Truth | Direct-SW | lmerTest |
|---|---|---|---|
| Simulation 1 | |||
| Mean | 910.93 | 910.68 | 906.62 |
| Standard deviation | 0.0 | 2.36 | 2.39 |
| Mean squared error | 0.0 | 5.64 | 24.23 |
| Simulation 2 | |||
| Mean | 844.61 | 842.17 | 837.79 |
| Standard deviation | 0.0 | 7.16 | 7.26 |
| Mean squared error | 0.0 | 57.20 | 99.21 |
| Simulation 3 | |||
| Mean | 707.01 | 700.96 | 695.08 |
| Standard deviation | 0.0 | 17.19 | 17.67 |
| Mean squared error | 0.0 | 332.01 | 454.53 |