Host type
# of Doses
3.00
Μodel
k
7.18E-08
LD50/ID50
9.66E+06
Dose Units
Response
Agent Strain
type 2,attenuated
Exposure Route
Experiment Dataset
Description: 
Chimpanzee data(Poliovirus type2) [1]
Dose INFECTED NON-INFECTED Total
15800 0 2 2
1580000 1 2 3
1.58E+07 5 3 8

 

Goodness of fit and model selection
Model Deviance Δ Degrees 
of freedom
χ20.95,1 
p-value
χ20.95,m-k 
p-value
Exponential 1.21 1.17 2 3.84 
0.279
5.99 
0.547
Beta Poisson 0.0337 1 3.84 
0.854
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 7.18E-08 1.75E-08 2.65E-08 2.84E-08 1.75E-07 2.12E-07 6.87E-07
ID50/LD50/ETC* 9.66E+06 1.01E+06 3.28E+06 3.97E+06 2.44E+07 2.62E+07 3.96E+07
*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