Human/Staphylococcus aureus [1]
| Dose |
Infected |
Non-infected |
Total |
| 2430000 |
4 |
16 |
20 |
| 6270000 |
8 |
12 |
20 |
| 1.27E+07 |
13 |
7 |
20 |
| 2.5E+07 |
14 |
6 |
20 |
| 3.34E+07 |
19 |
1 |
20 |
| 3.91E+07 |
20 |
0 |
20 |
|
Goodness of fit and model selection
| Model |
Deviance |
Δ |
Degrees
of freedom |
χ20.95,1
p-value |
χ20.95,m-k
p-value |
| Exponential |
5.52 |
5.36e-05 |
5 |
3.84
0.994 |
11.1
0.356 |
| Beta Poisson |
5.52 |
4 |
9.49
0.238 |
| 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 |
7.64E-08 |
5.67E-08 |
6.19E-08 |
6.41E-08 |
1.00E-07 |
1.02E-07 |
1.35E-06 |
| ID50/LD50/ETC* |
9.08E+06 |
2.70E+06 |
6.79E+06 |
6.93E+06 |
1.08E+07 |
1.12E+07 |
1.22E+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