Human Inaba Strain 569 B [1]
| Dose |
Cholera diarrhea |
No cholera diarrhea |
Total |
| 10 |
0 |
2 |
2 |
| 1000 |
0 |
4 |
4 |
| 1E+04 |
0 |
13 |
13 |
| 1E+05 |
1 |
7 |
8 |
| 1E+06 |
6 |
17 |
23 |
| 1E+08 |
1 |
1 |
2 |
|
Goodness of fit and model selection
| Model |
Deviance |
Δ |
Degrees
of freedom |
χ20.95,1
p-value |
χ20.95,m-k
p-value |
| Exponential |
23.3 |
22.8 |
5 |
3.84
1.81e-06 |
11.1
0.000297 |
| Beta Poisson |
0.504 |
4 |
9.49
0.973 |
| 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 |
1.1E-01 |
1.94E-02 |
3.52E-02 |
3.83E-02 |
6.23E+01 |
4.54E+02 |
1.10E+03 |
| N50 |
3.88E+07 |
1.13E+06 |
1.47E+06 |
1.71E+06 |
7.30E+11 |
4.70E+12 |
6.70E+18 |
|

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
References