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Experiment ID
56
Pathogen
Poliovirus
Agent Strain
type 1,attenuated
Contains Preferred Model
Yes
Reference
Koprowski, H. . (1956). Immunization against Poliomyelitis with Living Attenuated Virus. The American Journal of Tropical Medicine and Hygiene, 5, 3.
Exposure Route
oral (capsule)
Response
alimentary infection
Host type
human
# of Doses
3.00
Dose Units
PD50 (mouse paralytic doses)
Μodel
exponential
k
4.91E-01
LD50/ID50
1.41E+00
Description
Human data( Poliovirus type 1) 
Dose INFECTED NON-INFECTED Total
0.2 0 2 2
2 2 1 3
20 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 0.415 -7.99e-07 2 3.84 
1 		5.99 
0.812
Beta Poisson 0.415 1 3.84 
0.519
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 4.91E-01 1.30E-01 1.30E-01 2.25E-01 1.39E+00 1.39E+00 1.39E+00
ID50/LD50/ETC* 1.41E+00 5.00E-01 5.00E-01 5.00E-01 3.08E+00 5.33E+00 5.33E+00
*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