White rabbit / Pseudomonas aeruginosa [1]
| Dose |
Severe Stromal Ulceration |
Not Corneal Ulceration
|
Total |
| 63.2 |
0 |
5 |
5 |
| 2220 |
2 |
3 |
5 |
| 13200 |
1 |
4 |
5 |
| 78000 |
1 |
4 |
5 |
| 462000 |
4 |
1 |
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 |
13.2
|
8.73 |
4 |
3.84
0.00313 |
9.49
0.0105 |
| Beta Poisson |
4.43
|
3 |
7.81
0.219 |
| 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 |
1.09E-01 |
4.05E-02 |
5.23E-02 |
5.72E-02 |
9.05E+06 |
4.82E+07 |
2.53E+12 |
| N50 |
1.52E+05 |
4.66E+03 |
1.13E+04 |
1.55E+04 |
1.55E+07 |
6.25E+07 |
1.96E+09 |
|
Parameter histogram for exponential model (uncertainty of the parameter)
Exponential model plot, with confidence bounds around optimized model
References
QMRA