mice/BSE agent model data [1]
| Dose |
Infected |
Non-infected |
Total |
| 0.0186 |
0 |
13 |
13 |
| 0.186 |
4 |
12 |
16 |
| 1.86 |
9 |
5 |
14 |
| 18.6 |
13 |
0 |
13 |
|
Goodness of fit and model selection
| Model |
Deviance |
Δ |
Degrees
of freedom |
χ20.95,1
p-value |
χ20.95,m-k
p-value |
| Exponential |
2.78 |
0.763 |
3 |
3.84
0.382 |
7.81
0.427 |
| Beta Poisson |
2.01 |
2 |
5.99
0.365 |
| Exponential is preferred to beta-Poisson; cannot reject good fit for exponential. |
|
Optimized k parameter for the exponential model, from 10000 bootstrap iterations
| Parameter |
MLE estimate |
Percentiles |
| 0.5% |
2.5% |
5% |
95% |
97.5% |
99.5% |
| k |
6.93E-01 |
3.03E-01 |
3.69E-01 |
4.16E-01 |
1.14E+00 |
1.32E+00 |
1.70E+00 |
| ID50/LD50/ETC* |
1E+00 |
4.08E-01 |
5.27E-01 |
6.08E-01 |
1.67E+00 |
1.88E+00 |
2.29E+00 |
| *Not a parameter of the exponential model; however, it facilitates comparison with other models. |
|
Parameter histogram for exponential model (uncertainty of the parameter)
Exponential model plot, with confidence bounds around optimized model
References
QMRA