C57BL/6 Mice KHW Strain Data [1]
| Dose |
Infected |
Non-infected |
Total |
| 5 |
0 |
3 |
3 |
| 45 |
1 |
5 |
6 |
| 450 |
6 |
2 |
8 |
| 4500 |
7 |
0 |
7 |
| 45000 |
7 |
0 |
7 |
|
Goodness of fit and model selection
| Model |
Deviance |
Δ |
Degrees
of freedom |
χ20.95,1
p-value |
χ20.95,m-k
p-value |
| Exponential |
0.155 |
0.0201 |
4 |
3.84
0.887 |
9.49
0.997 |
| Beta Poisson |
0.135 |
3 |
7.81
0.987 |
| 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 |
3.18E-03 |
1.05E-03 |
1.41E-03 |
1.63E-03 |
7.50E-03 |
7.54E-03 |
1.46E-02 |
| ID50/LD50/ETC* |
2.18E+02 |
4.74E+01 |
9.19E+01 |
9.25E+01 |
4.25E+02 |
4.91E+02 |
6.63E+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