BALB/c Mice KHW Strain Data [1]
| Dose |
Infected |
Non-infected |
Total |
| 5 |
0 |
6 |
6 |
| 15 |
0 |
6 |
6 |
| 45 |
3 |
1 |
4 |
| 135 |
4 |
2 |
6 |
| 405 |
6 |
0 |
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 |
5.25 |
-0.000362 |
4 |
3.84
1 |
9.49
0.263 |
| Beta Poisson |
5.25 |
3 |
7.81
0.154 |
| 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 |
1.04E-02 |
4.94E-03 |
5.96E-03 |
6.60E-03 |
1.92E-02 |
2.45E-02 |
2.45E-02 |
| ID50/LD50/ETC* |
6.63E+01 |
2.82E+01 |
2.82E+01 |
3.61E+01 |
1.05E+02 |
1.16E+02 |
1.40E+02 |
| *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 
