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Experiment ID
262
Pathogen
Mycobacterium avium
Agent Strain
sub sp. Paratuberculosis Bovine
Contains Preferred Model
Yes
Reference
Nisbet, D. I., Gilmour, N. J., & Brotherston, J. G. (1962). Quantitative studies of Mycobacterium johnei in tissues of sheep. III. Intestinal histopathology. Journal of Comparative Pathology, 72, 80.
Exposure Route
oral
Response
infection
Host type
deer
# of Doses
3.00
Dose Units
CFU
Μodel
exponential
k
6.93E-04
LD50/ID50
1000
Description
Dose response data
Dose Infected Non-infected Total
1000 8 8 16
1E+07 16 0 16
1E+09 16 0 16

 

Goodness of fit and model selection
Model Deviance Δ Degrees 
of freedom		 χ20.95,1 
p-value 		χ20.95,m-k 
p-value
Exponential 3.07e-05 7.15e-06 2 3.84 
0.998 		5.99 
1
Beta Poisson 2.36e-05 1 3.84 
0.996
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 6.93E-04 2.08E-04 2.88E-04 3.75E-04 1.16E-03 1.39E-03 1.67E-03
ID50/LD50/ETC* 1E+03 4.14E+02 5.00E+02 5.96E+02 1.85E+03 2.41E+03 3.34E+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

References