Table 5.
Results from simulation scenarios 9 and 10. For Bayesian inference, scenario 9, rλ,3 was fixed to its true value (rλ,3 = 1.0). Correspondingly, for scenario 10 rλ,1 was fixed to its true value (rλ,1 = 1.0). For both scenarios, all simulation replicates yielded ESS > 200 for all estimated parameters.
| Scenario | Parameter | Truth | Median | Relative error | Relative bias | Relative HPD width | 95% HPD accuracy |
|---|---|---|---|---|---|---|---|
| 9 | Rbase | 3.0 | 3.065 | 0.078 | 0.022 | 0.388 | 95 |
| rλ,1 | 0.8 | 0.802 | 0.108 | 0.002 | 0.515 | 94 | |
| rλ,2 | 0.9 | 0.903 | 0.115 | 0.003 | 0.532 | 96 | |
| rλ,3 | 1.0 | 1.0 (fixed) | – | – | – | – | |
| rλ,4 | 1.1 | 1.084 | 0.110 | −0.015 | 0.551 | 91 | |
| rλ,5 | 1.2 | 1.217 | 0.115 | 0.014 | 0.587 | 96 | |
| rλ,6 | 1.4 | 1.399 | 0.108 | −0.001 | 0.600 | 95 | |
| rλ,7 | 1.5 | 1.513 | 0.109 | 0.008 | 0.613 | 98 | |
| rλ,8 | 1.6 | 1.605 | 0.117 | 0.003 | 0.619 | 96 | |
| rλ,9 | 1.7 | 1.669 | 0.109 | −0.018 | 0.613 | 95 | |
| rλ,10 | 1.8 | 1.785 | 0.126 | −0.008 | 0.627 | 97 | |
| s1 | 0.01 | 0.01 | 0.076 | −0.009 | 1.134 | 100 | |
| s2 | 0.01 | 0.01 | 0.074 | −0.022 | 1.136 | 100 | |
| s3 | 0.01 | 0.01 | 0.074 | −0.030 | 1.137 | 100 | |
| s4 | 0.01 | 0.01 | 0.067 | −0.031 | 1.143 | 100 | |
| s5 | 0.01 | 0.01 | 0.074 | −0.035 | 1.144 | 100 | |
| s6 | 0.01 | 0.01 | 0.058 | −0.024 | 1.160 | 100 | |
| s7 | 0.01 | 0.01 | 0.067 | −0.019 | 1.166 | 100 | |
| s8 | 0.01 | 0.01 | 0.053 | −0.025 | 1.165 | 100 | |
| s9 | 0.01 | 0.01 | 0.056 | −0.026 | 1.165 | 100 | |
| s10 | 0.01 | 0.01 | 0.053 | −0.027 | 1.166 | 100 | |
| 10 | Rbase | 3.0 | 2.924 | 0.038 | −0.025 | 0.184 | 94 |
| rλ,1 | 1.0 | 1.0 (fixed) | – | – | – | – | |
| rλ,2 | 1.6 | 1.636 | 0.055 | 0.022 | 0.302 | 96 | |
| s1 | 0.01 | 0.010 | 0.131 | 0.019 | 1.010 | 100 | |
| s2 | 0.01 | 0.010 | 0.107 | −0.003 | 1.073 | 100 |