Dose response data [1]
| Dose |
Infected |
Non-infected |
Total |
| 1 |
0 |
5 |
5 |
| 10 |
2 |
0 |
2 |
| 25 |
6 |
14 |
20 |
| 100 |
2 |
0 |
2 |
| 1E+04 |
3 |
0 |
3 |
| 1E+05 |
3 |
0 |
3 |
| 3E+05 |
3 |
0 |
3 |
| 1E+06 |
2 |
0 |
2 |
|
Goodness of fit and model selection
| Model |
Deviance |
Δ |
Degrees
of freedom |
χ20.95,1
p-value |
χ20.95,m-k
p-value |
| Exponential |
8.37 |
-0.000469 |
7 |
3.84
1 |
14.1
0.301 |
| Beta Poisson |
8.37 |
6 |
12.6
0.212 |
| 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 |
1.99E-02 |
8.50E-03 |
1.05E-02 |
1.26E-02 |
2.92E-02 |
3.29E-02 |
3.71E-02 |
| ID50/LD50/ETC* |
3.48E+01 |
1.87E+01 |
2.11E+01 |
2.38E+01 |
5.49E+01 |
6.60E+01 |
8.15E+01 |
| *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