Experiment ID
39, 40
Pathogen
Contains Preferred Model
0
Reference
Host type
# of Doses
6.00
Μodel
k
1.07E-08
LD50/ID50
6.5E+07
Dose Units
Response
Agent Strain
EIEC 4608
Exposure Route
Experiment Dataset
Description: 
EIEC disease, unbuffered, in the human model data
Dose Mild to severe diarrhea No mild to severe diarrhea Total
1E+04 0 5 5
1E+04 0 5 5
1E+06 0 5 5
1E+06 1 8 9
1E+08 5 3 8
1E+08 3 2 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 3.19 2.24 5 3.84 
0.134
11.1 
0.67
Beta Poisson 0.951 4 9.49 
0.917
Exponential is preferred to beta-Poisson; cannot reject good fit for exponential.

 

Optimized k parameter for the exponential model, from 10000 bootstrap iterations
Parameter MLE estimate Percentiles
0.5% 2.5% 5% 95% 97.5% 99.5%
k 1.07E-08 3.63E-09 4.79E-09 5.77E-09 2.04E-08 2.28E-08 3.21E-08
ID50/LD50/ETC* 6.5E+07 2.16E+07 3.04E+07 3.40E+07 1.20E+08 1.45E+08 1.91E+08
*Not a parameter of the exponential model; however, it facilitates comparison with other models.

Parameter histogram for exponential model (uncertainty of the parameter)

Exponential model plot, with confidence bounds around optimized model