Host type
# of Doses
5.00
Μodel
k
3.68E-06
LD50/ID50
1.89E+05
Dose Units
Response
Agent Strain
From infected humans
Exposure Route
Experiment Dataset
Description: 
Dose response data [1]
Dose Infected Non-infected Total
30 0 8 8
300 0 7 7
3E+04 0 6 6
125000 2 1 3
5E+05 4 1 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 2.49 0.0417 4 3.84 
0.838
9.49 
0.646
Beta Poisson 2.45 3 7.81 
0.484
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 3.68E-06 1.13E-06 1.35E-06 1.88E-06 9.60E-06 9.60E-06 9.60E-06
ID50/LD50/ETC* 1.89E+05 7.22E+04 7.22E+04 7.22E+04 3.68E+05 5.14E+05 6.14E+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