Experiment ID
260, 261
Pathogen
Contains Preferred Model
1
Host type
# of Doses
0.00
Μodel
k
2.46E-03
LD50/ID50
2.82E+02
Dose Units
Response
Agent Strain
rSARS-CoV
Exposure Route
Experiment Dataset
Description: 
Pooled dose response model data [1]
Dose Dead Survived Total
5 0 5 5
50 1 4 5
240 1 2 3
500 3 2 5
800 3 0 3
2400 2 0 2
5000 5 0 5
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 1.75 -0.00181 7 3.84 
1
14.1 
0.972
Beta Poisson 1.75 6 12.6 
0.941
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 2.46E-03 1.07E-03 1.28E-03 1.35E-03 4.59E-03 5.27E-03 6.80E-03
ID50/LD50/ETC* 2.82E+02 1.02E+02 1.32E+02 1.51E+02 5.13E+02 5.43E+02 6.47E+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