mice (5day old) / Pseudomonas aeruginosa [1]
| Dose |
Dead |
Survived |
Total |
| 2.5 |
0 |
13 |
13 |
| 25 |
0 |
14 |
14 |
| 250 |
0 |
12 |
12 |
| 2500 |
4 |
13 |
17 |
| 25000 |
13 |
2 |
15 |
| 250000 |
17 |
0 |
17 |
|
Goodness of fit and model selection
| Model |
Deviance |
Δ |
Degrees
of freedom |
χ20.95,1
p-value |
χ20.95,m-k
p-value |
| Exponential |
0.802
|
0.0885 |
5 |
3.84
0.766 |
11.1
0.977 |
| Beta Poisson |
0.713
|
4 |
9.49
0.95 |
| 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 |
8.52E-05 |
4.21E-05 |
4.99E-05 |
5.50E-05 |
1.53E-04 |
1.57E-04 |
2.05E-04 |
| ID50/LD50/ETC* |
8.13E+03 |
3.38E+03 |
4.40E+03 |
4.54E+03 |
1.26E+04 |
1.39E+04 |
1.65E+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