Swiss webster mice / Pseudomonas aeruginosa [1]
| Dose |
Infection (keratitis) |
Not Infection (keratitis)
|
Total |
| 1E+04 |
0 |
8 |
8 |
| 1E+05 |
1 |
9 |
10 |
| 1E+06 |
1 |
7 |
8 |
| 1E+07 |
5 |
5 |
10 |
| 1E+08 |
10 |
0 |
10 |
|
Goodness of fit and model selection
| Model |
Deviance |
Δ |
Degrees
of freedom |
χ20.95,1
p-value |
χ20.95,m-k
p-value |
| Exponential |
3.6
|
0.134 |
4 |
3.84
0.715 |
9.49
0.464 |
| Beta Poisson |
3.46
|
3 |
7.81
0.326 |
| 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 |
8.8E-08 |
3.31E-08 |
3.89E-08 |
4.53E-08 |
1.58E-07 |
1.94E-07 |
2.47E-07 |
| ID50/LD50/ETC* |
7.88E+06 |
2.81E+06 |
3.57E+06 |
4.38E+06 |
1.53E+07 |
1.78E+07 |
2.09E+07 |
| *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