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Table 1 Summary of convergence diagnostics in parameter and data space

From: A Bayesian approach for parameter estimation in the extended clock gene circuit of Arabidopsis thaliana

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