Host type
# of Doses
4.00
Μodel
k
5.99E-02
LD50/ID50
1.16E+01
Dose Units
Response
Agent Strain
Philadelphia 1
Exposure Route
Experiment Dataset
Description: 
Guinea pigs/ Philadelphia 1 strain data [2]
Dose Infected Non-infected Total
1 0 4 4
5 4 10 14
50 17 1 18
100 8 0 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 0.582 0.000479 3 3.84 
0.983
7.81 
0.9
Beta Poisson 0.582 2 5.99 
0.748
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 5.99E-02 3.26E-02 3.90E-02 4.18E-02 1.11E-01 1.31E-01 1.57E-01
ID50/LD50/ETC* 1.16E+01 4.42E+00 5.28E+00 6.25E+00 1.66E+01 1.78E+01 2.13E+01
*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