Host type
# of Doses
6.00
Μodel
a
1.10E-01
N50
3.88E+07
LD50/ID50
3.88E+07
Dose Units
Response
Agent Strain
Inaba 569B
Exposure Route
Experiment Dataset
Description: 
Human Inaba Strain 569 B [1]
Dose Cholera diarrhea No cholera diarrhea Total
10 0 2 2
1000 0 4 4
1E+04 0 13 13
1E+05 1 7 8
1E+06 6 17 23
1E+08 1 1 2

 

Goodness of fit and model selection
Model Deviance Δ Degrees 
of freedom
χ20.95,1 
p-value
χ20.95,m-k 
p-value
Exponential 23.3 22.8 5 3.84 
1.81e-06
11.1 
0.000297
Beta Poisson 0.504 4 9.49 
0.973
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 1.1E-01 1.94E-02 3.52E-02 3.83E-02 6.23E+01 4.54E+02 1.10E+03
N50 3.88E+07 1.13E+06 1.47E+06 1.71E+06 7.30E+11 4.70E+12 6.70E+18

 

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


References