White rabbit / Pseudomonas aeruginosa [1]
| Dose |
Corneal Ulceration |
Not Corneal Ulceration
|
Total |
| 63.2 |
0 |
5 |
5 |
| 2220 |
2 |
3 |
5 |
| 13200 |
3 |
2 |
5 |
| 78000 |
3 |
2 |
5 |
| 462000 |
5 |
0 |
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 |
9.41
|
7.02 |
4 |
3.84
0.00807 |
9.49
0.0516 |
| Beta Poisson |
2.39
|
3 |
7.81
0.495 |
| 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 |
3.55E-01 |
1.53E-01 |
1.76E-01 |
1.91E-01 |
4.52E+00 |
1.73E+07 |
1.35E+11 |
| N50 |
6.57E+03 |
7.71E+02 |
1.44E+03 |
1.70E+03 |
2.55E+04 |
4.30E+04 |
8.32E+04 |
|
Parameter histogram for exponential model (uncertainty of the parameter)
Exponential model plot, with confidence bounds around optimized model
References
QMRA