TABLE 6.
Simulation result
| Size | Parameter | True Value | Posterior Mean | MC SE | Relative Bias | 95% Coverage Rate |
|---|---|---|---|---|---|---|
|
| ||||||
| 5 × 100 | β 0 | −2 | −1.80 | 0.68 | 0.10 | 0.97 |
| β 10 | 2.5 | 2.47 | 0.45 | 0.01 | 0.99 | |
| β 11 | −1.4 | −1.33 | 0.52 | 0.05 | 0.99 | |
| logQ0 | 2.5 | 2.39 | 0.91 | 0.04 | 0.98 | |
| α 0 | 4 | 4.01 | 0.74 | 0.00 | 0.97 | |
| δ | 2.8 | 2.80 | 0.01 | 0.00 | 0.95 | |
| 10 × 100 | β 0 | −2 | −1.94 | 0.38 | 0.03 | 0.97 |
| β 10 | 2.5 | 2.52 | 0.25 | 0.01 | 0.97 | |
| β 11 | −1.4 | −1.38 | 0.29 | 0.01 | 0.96 | |
| logQ0 | 2.5 | 2.46 | 0.43 | 0.02 | 0.97 | |
| α 0 | 4 | 4.00 | 0.38 | 0.00 | 0.96 | |
| δ | 2.8 | 2.81 | 0.01 | 0.00 | 0.94 | |
| 5 × 200 | β 0 | −2 | −1.77 | 0.68 | 0.12 | 0.97 |
| β 10 | 2.5 | 2.46 | 0.40 | 0.02 | 0.98 | |
| β 11 | −1.4 | −1.36 | 0.44 | 0.03 | 0.99 | |
| logQ0 | 2.5 | 2.47 | 0.84 | 0.01 | 0.98 | |
| α 0 | 4 | 4.00 | 0.73 | 0.00 | 0.98 | |
| δ | 2.8 | 2.81 | 0.01 | 0.00 | 0.94 | |
| 10 × 200 | β 0 | −2 | −1.92 | 0.38 | 0.04 | 0.96 |
| β 10 | 2.5 | 2.52 | 0.22 | 0.01 | 0.97 | |
| β 11 | −1.4 | −1.39 | 0.24 | 0.01 | 0.97 | |
| logQ0 | 2.5 | 2.49 | 0.42 | 0.00 | 0.96 | |
| α 0 | 4 | 3.99 | 0.38 | 0.01 | 0.96 | |
| δ | 2.8 | 2.81 | 0.00 | 0.00 | 0.92 | |
Note. Size: number of studies × number of subjects per study; MC SE: Monte Carlo standard error; Relative Bias = (estimate − true)∕true.