Host type
# of Doses
4.00
Μodel
k
1.63E-03
LD50/ID50
4.26E+02
Dose Units
Response
Agent Strain
CO92
Exposure Route
Experiment Dataset
Mouse/ CO92 model data
DoseDeadSurvivedTotal
100134
1000314
1E+04404
1E+05404
Description: 
Mouse/ CO92 model data [1]
Dose Dead Survived Total
100 1 3 4
1000 3 1 4
1E+04 4 0 4
1E+05 4 0 4

 

Goodness of fit and model selection
Model Deviance Δ Degrees 
of freedom
χ20.95,1 
p-value
χ20.95,m-k 
p-value
Exponential 0.338 0.195 3 3.84 
0.658
7.81 
0.953
Beta Poisson 0.142 2 5.99 
0.931
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 1.63E-03 3.62E-04 5.50E-04 6.22E-04 7.02E-03 7.02E-03 7.02E-03
ID50/LD50/ETC* 4.26E+02 9.87E+01 9.87E+01 9.87E+01 1.11E+03 1.26E+03 1.92E+03
*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