Table 2.
Results from simulation scenarios 1–3. For Bayesian inference, rλ,3 was fixed to its true value (rλ,3 = 1.0) for all scenarios. For scenario 1, out of 100 simulation replicates, 84 yielded ESS > 200 for all estimated parameters. For scenario 2, all simulation replicates yielded ESS > 200 for all the parameters, whereas for scenario 3 in total 96 replicates yielded ESS > 200 for all estimated parameters.
| Scenario | Parameter | Truth | Median | Relative error | Relative bias | Relative HPD width | 95% HPD accuracy |
|---|---|---|---|---|---|---|---|
| 1 | Rbase | 3.0 | 3.027 | 0.063 | 0.009 | 0.394 | 96 |
| rλ,1 | 1.0 | 1.013 | 0.103 | 0.013 | 0.561 | 98 | |
| rλ,2 | 1.0 | 1.014 | 0.099 | 0.014 | 0.564 | 96 | |
| rλ,3 | 1.0 | 1.0 (fixed) | – | – | – | – | |
| rλ,4 | 1.0 | 1.038 | 0.102 | 0.037 | 0.580 | 96 | |
| rλ,5 | 1.666 | 1.639 | 0.069 | −0.016 | 0.421 | 99 | |
| s1 | 0.01 | 0.010 | 0.079 | −0.035 | 1.137 | 100 | |
| s2 | 0.01 | 0.009 | 0.073 | −0.045 | 1.126 | 100 | |
| s3 | 0.01 | 0.010 | 0.076 | −0.030 | 1.137 | 100 | |
| s4 | 0.01 | 0.010 | 0.072 | −0.036 | 1.135 | 100 | |
| s5 | 0.001 | 0.001 | 0.552 | 0.404 | 2.764 | 98 | |
| 2 | Rbase | 3.0 | 3.061 | 0.080 | 0.020 | 0.402 | 97 |
| rλ,1 | 1.0 | 0.997 | 0.109 | −0.003 | 0.554 | 95 | |
| rλ,2 | 1.0 | 1.002 | 0.108 | 0.002 | 0.558 | 96 | |
| rλ,3 | 1.0 | 1.0 (fixed) | – | – | – | – | |
| rλ,4 | 1.0 | 0.991 | 0.100 | −0.009 | 0.550 | 95 | |
| rλ,5 | 1.666 | 1.574 | 0.107 | −0.055 | 0.506 | 92 | |
| s1 | 0.01 | 0.010 | 0.072 | −0.038 | 1.132 | 100 | |
| s2 | 0.01 | 0.010 | 0.083 | −0.015 | 1.147 | 100 | |
| s3 | 0.01 | 0.010 | 0.072 | −0.020 | 1.145 | 100 | |
| s4 | 0.01 | 0.010 | 0.065 | −0.010 | 1.153 | 100 | |
| s5,1 | 0.0 | 0.0 (fixed) | – | – | – | – | |
| s5,2 | 0.01 | 0.010 | 0.051 | −0.022 | 1.172 | 100 | |
| 3 | Rbase | 3.0 | 3.013 | 0.039 | 0.004 | 0.208 | 96 |
| rλ,1 | 1.0 | 1.006 | 0.054 | 0.006 | 0.294 | 99 | |
| rλ,2 | 1.0 | 1.001 | 0.053 | 7e-04 | 0.293 | 96 | |
| rλ,3 | 1.0 | 1.0 (fixed) | – | – | – | – | |
| rλ,4 | 1.0 | 1.008 | 0.057 | 0.008 | 0.295 | 97 | |
| rλ,5 | 1.666 | 1.630 | 0.050 | −0.022 | 0.299 | 98 | |
| s1 | 0.01 | 0.01 | 0.108 | −0.027 | 1.012 | 98 | |
| s2 | 0.01 | 0.01 | 0.115 | −0.014 | 1.021 | 100 | |
| s3 | 0.01 | 0.01 | 0.112 | −0.014 | 1.019 | 100 | |
| s4 | 0.01 | 0.01 | 0.117 | −0.022 | 1.015 | 100 | |
| s5,1 | 0.0 | 0.0 (fixed) | – | – | – | – | |
| s5,2 | 0.01 | 0.01 | 0.099 | −0.030 | 1.093 | 100 |