Host type
# of Doses
4.00
Μodel
k
2.97E-03
LD50/ID50
2.33E+02
Dose Units
Response
Agent Strain
rSARS-CoV
Exposure Route
Experiment Dataset
Description: 
mice/rSARS-CoV strain model data [2]
Dose Dead Survived Total
240 1 2 3
800 3 0 3
2400 2 0 2
12000 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 0.968 -0.000923 3 3.84 
1
7.81 
0.809
Beta Poisson 0.969 2 5.99 
0.616
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 2.97E-03 1.90E-03 1.90E-03 1.90E-03 2.97E-03 2.97E-03 2.97E-03
ID50/LD50/ETC* 2.33E+02 2.33E+02 2.33E+02 2.33E+02 3.64E+02 3.64E+02 3.64E+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