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Experiment ID
251
Pathogen
Prion
Contains Preferred Model
0
Reference
Inactivation of the bovine spongiform encephalopathy agent by rendering procedures
Host type
mice
# of Doses
3.00
Μodel
exponential
k
2.4E-05
LD50/ID50
2.89E+04
Dose Units
LD50 i.c.
Response
death
Agent Strain
scrapie strain C506M3
Exposure Route
intraperitoneal
Experiment Dataset
Description: 
mice/ scrapie strain C506M3 model data [1]
Dose Dead Survived Total
125 0 11 11
1250 1 9 10
12500 2 8 10

 

Goodness of fit and model selection
Model Deviance Δ Degrees 
of freedom		 χ20.95,1 
p-value		 χ20.95,m-k 
p-value
Exponential 1.34 0.99 2 3.84 
0.32		 5.99 
0.512
Beta Poisson 0.35 1 3.84 
0.554
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 2.4E-05 1.00E-13 1.00E-13 7.23E-06 5.47E-05 5.81E-05 7.44E-05
ID50/LD50/ETC* 2.89E+04 9.32E+03 1.19E+04 1.27E+04 9.58E+04 6.92E+12 6.92E+12
*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