Description
Model data for rotavirus (OSU (ATCC VR892)) in the pig 
Dose Infected Non-infected Total
0.9 0 3 3
9 0 3 3
90 5 1 6
900 3 0 3
2800 2 0 2
9000 3 0 3
56000 2 0 2
1.1E+07 2 0 2
2.2E+08 2 0 2
4.5E+09 2 0 2

 

Goodness of fit and model selection
Model Deviance Δ Degrees 
of freedom		 χ20.95,1 
p-value 		χ20.95,m-k 
p-value
Exponential 1.1 -0.0019 9 3.84 
1 		16.9 
0.999
Beta Poisson 1.1 8 15.5 
0.998
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 1.73E-02 4.64E-03 7.21E-03 7.21E-03 3.28E-02 3.28E-02 3.28E-02
ID50/LD50/ETC* 4E+01 2.11E+01 2.11E+01 2.11E+01 9.61E+01 9.61E+01 1.49E+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

# of Doses
10.00
Μodel
exponential
LD50/ID50
4E+01
Dose Units
particles
Response
infection
Exposure Route
intragastric
Contains Preferred Model
k
1.73E-02
Agent Strain
OSU (ATCC VR892)
Experiment ID
68
Host type
pig
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