Pooled data of White rabbit / Pseudomonas aeruginosa [1]
| Dose |
Corneal Ulceration |
Not Corneal Ulceration
|
Total |
| 63.2 |
0 |
5 |
5 |
| 63.2 |
0 |
5 |
5 |
| 2220 |
2 |
3 |
5 |
| 2220 |
2 |
3 |
5 |
| 13200 |
3 |
2 |
5 |
| 13200 |
1 |
4 |
5 |
| 78000 |
3 |
2 |
5 |
| 78000 |
1 |
4 |
5 |
| 462000 |
5 |
0 |
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 |
30.9
|
20.8 |
9 |
3.84
5.11e-06 |
16.9
0.000312 |
| Beta Poisson |
10.1
|
8 |
15.5
0.26 |
| 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 |
1.9E-01 |
9.63E-02 |
1.15E-01 |
1.24E-01 |
3.86E-01 |
5.51E-01 |
2.50E+00 |
| N50 |
1.85E+04 |
3.18E+03 |
4.73E+03 |
6.01E+03 |
7.05E+04 |
8.98E+04 |
1.97E+05 |
|
Parameter histogram for exponential model (uncertainty of the parameter)
Exponential model plot, with confidence bounds around optimized model
References
QMRA