Host type
# of Doses
4.00
Μodel
a
2.63E-01
N50
3.56E+06
LD50/ID50
3.56E+06
Dose Units
Response
Agent Strain
ETEC O111 (in paper as "E. coli 111, B4")
Exposure Route
Experiment Dataset
Description: 
Escherichia coli (ETEC O111 (in paper as “E. coli 111, B4”)) in the human model data [1]
Dose Slight to severe illness No slight to severe illness Total
7E+06 7 4 11
5.31E+08 8 4 12
6.5E+09 11 0 11
9E+09 12 0 12

 

Goodness of fit and model selection
Model Deviance Δ Degrees 
of freedom
χ20.95,1 
p-value
χ20.95,m-k 
p-value
Exponential 39.8 33.4 3 3.84 
7.5e-09
7.81 
1.19e-08
Beta Poisson 6.38 2 5.99 
0.0412
Neither the exponential nor beta-Poisson fits well; beta-Poisson is less bad.

 

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 2.63E-01 9.92E-04 7.95E-02 1.00E-01 4.71E-01 5.53E-01 1.48E+01
N50 3.56E+06 6.89E-01 1.15E+03 2.08E+03 1.85E+07 2.49E+07 4.18E+07

 

beta Poisson model plot, with confidence bounds around optimized model

Parameter scatter plot for beta Poisson model ellipses signify the 0.9, 0.95 and 0.99 confidence of the parameters.

 


References