Pigs/ Porcine enterovirus type 3 Strain model data [1]
| Dose |
infected |
Non-infected |
Total |
| 100 |
0 |
3 |
3 |
| 250 |
0 |
6 |
6 |
| 1000 |
2 |
4 |
6 |
|
Goodness of fit and model selection
| Model |
Deviance |
Δ |
Degrees
of freedom |
χ20.95,1
p-value |
χ20.95,m-k
p-value |
| Exponential |
1.24 |
-0.000314 |
2 |
3.84
1 |
5.99
0.537 |
| Beta Poisson |
1.24 |
1 |
3.84
0.265 |
| 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 |
2.96E-04 |
2.40E-17 |
2.40E-17 |
2.40E-17 |
7.19E-04 |
7.19E-04 |
1.02E-03 |
| ID50/LD50/ETC* |
2.34E+03 |
6.77E+02 |
9.64E+02 |
9.64E+02 |
2.89E+16 |
2.89E+16 |
2.89E+16 |
| *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