Host type
# of Doses
3.00
Μodel
k
3.97E-06
LD50/ID50
1.74E+05
Dose Units
Response
Agent Strain
*Salmonella newport*
Exposure Route
Experiment Dataset
Description: 
Human/Salmonella newportmodel data [1]]
Dose Infected Non-infected Total
152000 3 3 6
385000 6 2 8
1350000 6 0 6

 

Goodness of fit and model selection
Model Deviance Δ Degrees 
of freedom
χ20.95,1 
p-value
χ20.95,m-k 
p-value
Exponential 0.16 -3.32e-05 2 3.84 
1
5.99 
0.923
Beta Poisson 0.16 1 3.84 
0.689
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 3.97E-06 1.75E-06 2.16E-06 2.32E-06 7.36E-06 9.04E-06 1.27E-05
ID50/LD50/ETC* 1.74E+05 5.45E+04 7.67E+04 9.41E+04 2.98E+05 3.20E+05 3.97E+05
*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


References