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Experiment ID
98
Pathogen
Escherichia coli
Agent Strain
EIEC 1624
Contains Preferred Model
Yes
Reference
DuPont, H. L., Formal, S. B., Hornick, R. B., Snyder, M. J., Libonati, J. P., Sheahan, D. G., … Kalas, J. P. (1971). Pathogenesis of Escherichia coli diarrhea. The New England Journal of Medicine, 285, 1.
Exposure Route
oral (in milk)
Response
positive stool isolation
Host type
human
# of Doses
3.00
Dose Units
CFU
Μodel
beta-Poisson
a
1.55E-01
N50
2.11E+06
LD50/ID50
2.11E+06
Experiment Dataset
Description
Escherichia coli (EIEC 1624) in the human model data
Dose Positive stool isolation No positive stool isolation Total
1E+04 0 5 5
1E+06 5 4 9
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 28.6 27.2 2 3.84 
1.82e-07 		5.99 
6.18e-07
Beta Poisson 1.38 1 3.84 
0.24
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 1.55E-01 1.26E-03 1.26E-03 2.84E-02 1.84E+01 1.29E+02 1.90E+02
N50 2.11E+06 1.73E+05 2.95E+05 2.95E+05 7.85E+08 9.22E+140 9.22E+140
Parameter scatter plot for beta Poisson model ellipses signify the 0.9, 0.95 and 0.99 confidence of the parameters.
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 mode
beta Poisson model plot, with confidence bounds around optimized mode

References