Table 1.
Experiment | Euclidean distance from true values at start ED0 | Species Analysis PSRF computed from sum-of-squares trace plots in data space | Parameter Analysis PSRF computed from MCMC chains in parameter space | Euclidean distance between true values and posterior mean EDm | %True parameter values lying outside 5th - 95th percentile of posterior distribution | ||||
---|---|---|---|---|---|---|---|---|---|
%Species PSRF <1.1 | Mean PSRF | MPSRF | %Parameters PSRF <1.1 | Mean PSRF | MPSRF | ||||
1. No perturbation | 0 | 100 | 1.01 | 1.81 | 99 | 1.02 | 2.69 | 0.25 | 0 |
2. Perturbed variance = 0.0052 | 0.06 | 100 | 1.01 | 1.77 | 95 | 1.03 | 3.38 | 0.30 | 0.8 |
3. Perturbed variance = 0.012 | 0.12 | 97 | 1.01 | 1.80 | 90 | 1.03 | 3.07 | 0.22 | 1.5 |
4. Perturbed variance= 0.0152 | 0.20 | 97 | 1.01 | 1.85 | 92 | 1.03 | 3.68 | 0.30 | 1.5 |
5. Perturbed variance= 0.022 | 0.24 | 97 | 1.02 | 2.12 | 96 | 1.03 | 3.47 | 0.33 | 0.8 |
6. Perturbed variance= 0.0252 | 0.30 | 93 | 1.03 | 2.11 | 68 | 1.09 | 3.37 | 0.32 | 3.0 |
7. Perturbed variance = 0.032 | 0.32 | 100 | 1.01 | 1.74 | 100 | 1.01 | 2.85 | 0.43 | 3.8 |
8. Perturbed variance = 0.0352 | 0.38 | 87 | 1.05 | 2.50 | 62 | 1.11 | 3.82 | 0.37 | 6.8 |
9. Perturbed variance = 0.052 | 0.51 | 57 | 1.10 | 2.26 | 45 | 1.21 | 3.48 | 0.49 | 10.5 |
10. Perturbed variance = 0.12 | 0.98 | 33 | 1.35 | 4.47 | 24 | 1.41 | 5.79 | 0.59 | 11.3 |
11. Gamma(1,2) | 87.66 | 7 | 1.98 | 8.47 | 18 | 2.14 | 10.29 | 0.70 | 21.1 |
12. Gamma(2,4) | 39.86 | 7 | 2.31 | 9.14 | 5 | 2.04 | 10.73 | 16.03 | 21.1 |
13. Gamma(2,4) | 88.12 | 3 | 2.36 | 5.81 | 2 | 1.82 | 6.89 | 40.90 | 15.8 |