ETEC disease, unbuffered, in the human model data
Dose |
Mild to severe diarrhea |
No mild to severe diarrhea |
Total |
1E+06 |
0 |
4 |
4 |
1E+08 |
1 |
4 |
5 |
1E+08 |
2 |
3 |
5 |
1E+08 |
3 |
2 |
5 |
1.43E+08 |
6 |
2 |
8 |
1.73E+09 |
5 |
2 |
7 |
5.33E+09 |
6 |
2 |
8 |
1E+10 |
4 |
1 |
5 |
1E+10 |
3 |
2 |
5 |
1E+10 |
4 |
1 |
5 |
1.6E+10 |
7 |
1 |
8 |
|
Goodness of fit and model selection
Model |
Deviance |
Δ |
Degrees
of freedom |
χ20.95,1
p-value |
χ20.95,m-k
p-value |
Exponential |
68.4 |
62.9 |
10 |
3.84
2.22e-15 |
18.3
8.97e-11 |
Beta Poisson |
5.53 |
9 |
16.9
0.786 |
Beta-Poisson fits better than exponential; cannot reject good fit for beta-Poisson. |
|
Optimized parameters for the beta-Poisson model, from 10000 bootstrap iterations
Parameter |
MLE estimate |
Percentiles |
0.5% |
2.5% |
5% |
95% |
97.5% |
99.5% |
α |
2.06E-01 |
1.75E-02 |
1.17E-01 |
1.32E-01 |
3.79E-01 |
4.29E-01 |
5.57E-01 |
N50 |
1.28E+08 |
3.53E+05 |
3.17E+07 |
4.09E+07 |
3.83E+08 |
4.65E+08 |
6.86E+08 |
|
Parameter scatter plot for beta Poisson model ellipses signify the 0.9, 0.95 and 0.99 confidence of the parameters.
beta Poisson model plot, with confidence bounds around optimized model