Host type
# of Doses
5.00
Μodel
k
1.51E-02
LD50/ID50
4.59E+01
Dose Units
Response
Agent Strain
type 4
Exposure Route
Experiment Dataset
Description: 
Humans/ type 4 Strain model data [1]
Dose Infected Non-infected Total
3 0 6 6
10 0 2 2
14 1 1 2
79 2 1 3
400 3 0 3

 

Goodness of fit and model selection
Model Deviance Δ Degrees 
of freedom
χ20.95,1 
p-value
χ20.95,m-k 
p-value
Exponential 2.14 -0.00118 4 3.84 
1
9.49 
0.71
Beta Poisson 2.14 3 7.81 
0.544
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 1.51E-02 4.00E-03 5.88E-03 6.35E-03 4.56E-02 4.56E-02 4.56E-02
ID50/LD50/ETC* 4.59E+01 1.52E+01 1.52E+01 1.52E+01 1.09E+02 1.18E+02 1.73E+02
*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