C57BL/6 Mice KHW Strain Data [1]
| Dose |
Infected |
Non-infected |
Total |
| 150 |
0 |
6 |
6 |
| 450 |
1 |
5 |
6 |
| 1350 |
1 |
5 |
6 |
| 4050 |
3 |
3 |
6 |
| 12200 |
3 |
3 |
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 |
3.36 |
2.17 |
4 |
3.84
0.141 |
9.49
0.499 |
| Beta Poisson |
1.19 |
3 |
7.81
0.755 |
| Exponential is preferred to beta-Poisson; cannot reject good fit for exponential. |
|
Optimized parameters for the exponential model, from 10000 bootstrap iterations
| Parameter |
MLE estimate |
Percentiles |
| 0.5% |
2.5% |
5% |
95% |
97.5% |
99.5% |
| k |
1E-04 |
2.87E-05 |
4.15E-05 |
4.99E-05 |
1.89E-04 |
2.13E-04 |
2.70E-04 |
| ID50/LD50/ETC* |
6.92E+03 |
2.57E+03 |
3.26E+03 |
3.68E+03 |
1.39E+04 |
1.67E+04 |
2.41E+04 |
| *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 
