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 |
15 |
0 |
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 |
2.17
|
-0.000196
|
5 |
3.84
1 |
11.1
0.825 |
| Beta Poisson |
2.17
|
4 |
9.49
0.704 |
| 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 |
1.39E-04 |
8.87E-05 |
9.90E-05 |
9.90E-05 |
2.05E-04 |
2.36E-04 |
2.73E-04 |
| ID50/LD50/ETC* |
4.98E+03 |
2.54E+03 |
2.94E+03 |
3.38E+03 |
7.00E+03 |
7.00E+03 |
7.82E+03 |
| *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