Human Inaba 569B [1]
| Dose |
Diarrhea and culture positive |
No diarrhea and culture positive |
Total |
| 1E+04 |
0 |
2 |
2 |
| 1E+06 |
0 |
4 |
4 |
| 1E+07 |
0 |
4 |
4 |
| 1E+08 |
2 |
2 |
4 |
| 1E+09 |
0 |
2 |
2 |
| 1E+10 |
0 |
1 |
1 |
| 1E+11 |
2 |
0 |
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 |
14.9 |
7.58 |
6 |
3.84
0.00589 |
12.6
0.0207 |
| Beta Poisson |
7.36 |
5 |
11.1
0.195 |
| 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 |
1.31E-01 |
1.04E-03 |
1.04E-03 |
1.04E-03 |
1.67E-01 |
1.67E-01 |
1.67E-01 |
| N50 |
2.91E+09 |
3.23E+08 |
3.23E+08 |
3.23E+08 |
8.87E+254 |
8.87E+254 |
8.87E+254 |
|
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
QMRA