Host type
# of Doses
8.00
Μodel
a
2.3E-01
N50
4.91E+03
LD50/ID50
4.91E+03
Dose Units
Response
Agent Strain
strain II
Exposure Route
Experiment Dataset
Description: 
Human/ Salmonella anatum strain II data [4]
Dose Positive stool culture No positive stool culture Total
89000 5 1 6
448000 4 2 6
1040000 6 0 6
3.9E+06 4 2 6
1E+07 6 0 6
2.39E+07 5 1 6
4.45E+07 6 0 6
6.73E+07 8 0 8

 

Goodness of fit and model selection
Model Deviance Δ Degrees 
of freedom
χ20.95,1 
p-value
χ20.95,m-k 
p-value
Exponential 62.8 54.2 7 3.84 
1.84e-13
14.1 
4.22e-11
Beta Poisson 8.6 6 12.6 
0.198
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 2.3E-01 3.63E-02 5.29E-02 6.00E-02 5.51E-01 6.70E-01 1.40E+00
N50 4.91E+03 2.59E-10 2.73E-08 4.91E-06 8.72E+04 1.23E+05 2.29E+05

 

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