Table 3.
Summary characteristics from MCMC-based posterior distributions of the Benchmark Dose (BMD) at BMR = 0.10 for four dose-response models referenced in Section 3. The benchmark dose lower bound (BMDL) is the lower 5% percentile from the generated MCMC posterior. Results are stratified by type of priors used in the analysis: (i) Informative Priors from Table 1 or (ii) Vague Uniform (‘Flat’) priors as described in the text.
| Model (no.) | Mean | Sth. Dev. | IQR | BMDL | Mean/BMDL |
|---|---|---|---|---|---|
| Informative Priors |
|||||
| Weibull (3) | 0.68 | 0.49 | 0.58 | 0.11 | 6.18 |
| Gamma (4) | 0.55 | 0.45 | 0.53 | 0.06 | 9.17 |
| Log-Logistic (6) | 0.94 | 0.55 | 0.67 | 0.23 | 4.09 |
| Log-Probit (8) | 1.05 | 0.56 | 0.68 | 0.32 | 3.28 |
| Flat Priors |
|||||
| Weibull (3) | 0.99 | 0.68 | 0.77 | 0.20 | 4.95 |
| Gamma (4) | 1.09 | 0.83 | 0.90 | 0.20 | 5.45 |
| Log-Logistic (6) | 1.19 | 0.73 | 0.83 | 0.31 | 3.84 |
| Log-Probit (8) | 1.35 | 1.79 | 0.83 | 0.35 | 3.86 |
Abbreviations: IQR = lower limit. interquartile range; BMDL = (95%) benchmark dose