Escherichia coli (EIEC 1624) in the human model data [1]
Dose |
Mild to severe diarrhea |
No mild to severe diarrhea |
Total |
1E+04 |
0 |
5 |
5 |
1E+06 |
1 |
8 |
9 |
1E+08 |
3 |
2 |
5 |
|
Goodness of fit and model selection
Model |
Deviance |
Δ |
Degrees
of freedom |
χ20.95,1
p-value |
χ20.95,m-k
p-value |
Exponential |
2.99 |
2.98 |
2 |
3.84
0.0845 |
5.99
0.224 |
Beta Poisson |
0.0156 |
1 |
3.84
0.901 |
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 |
1.22E-08 |
1.97E-09 |
2.19E-09 |
4.40E-09 |
4.03E-08 |
1.17E-07 |
2.50E-07 |
ID50/LD50/ETC* |
5.7E+07 |
2.77E+06 |
5.92E+06 |
1.72E+07 |
1.58E+08 |
3.17E+08 |
3.52E+08 |
*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