Host type
# of Doses
7.00
Μodel
a
1.31E-01
N50
2.91E+09
LD50/ID50
2.91E+09
Dose Units
Response
Agent Strain
Inaba 569B (classical)
Exposure Route
Experiment Dataset
Description: 
Human Inaba 569B [1]
Dose Diarrhea and culture positive No diarrhea and culture positive Total
1E+04 0 2 2
1E+06 0 4 4
1E+07 0 4 4
1E+08 2 2 4
1E+09 0 2 2
1E+10 0 1 1
1E+11 2 0 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 14.9 7.58 6 3.84 
0.00589
12.6 
0.0207
Beta Poisson 7.36 5 11.1 
0.195
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 1.31E-01 1.04E-03 1.04E-03 1.04E-03 1.67E-01 1.67E-01 1.67E-01
N50 2.91E+09 3.23E+08 3.23E+08 3.23E+08 8.87E+254 8.87E+254 8.87E+254

 

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