Host type
# of Doses
5.00
Μodel
a
3.55E-01
N50
6.57E+03
LD50/ID50
6.57E+03
Dose Units
Response
Exposure Route
Experiment Dataset
Description: 
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