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Experiment ID
47
Pathogen
Giardia duodenalis
Agent Strain
From infected humans
Contains Preferred Model
No
Reference
Erlandsen, S. L., Sherlock, L. A., Januschka, M. ., Schupp, D. G., Schaefer, F. W., Jakubowski, W. ., & Bemrick, W. J. (1988). Cross-species transmission of Giardia spp.: inoculation of beavers and muskrats with cysts of human, beaver, mouse, and muskrat origin. Applied and Environmental Microbiology, 54, 11. Retrieved from http://aem.asm.org/content/54/11/2777.abstract
Exposure Route
oral
Response
infection
Host type
beaver
# of Doses
4.00
Dose Units
Cysts
Μodel
beta-Poisson
a
1.37E-01
N50
1.46E+04
LD50/ID50
1.46E+04
Description
Dose response data 
Dose Infected Non-infected Total
48 0 6 6
454 2 4 6
4460 1 2 3
550000 2 1 3

 

Goodness of fit and model selection
Model Deviance Δ Degrees 
of freedom		 χ20.95,1 
p-value 		χ20.95,m-k 
p-value
Exponential 22.5 21.3 3 3.84 
3.97e-06 		7.81 
5.14e-05
Beta Poisson 1.22 2 5.99 
0.544
Beta-Poisson fits better than exponential; cannot reject good fit for beta-Poisson.

 

Optimized parameters for the beta-Poisson model, from 10000 bootstrap iterations
Parameter MLE estimate Percentiles
0.5% 2.5% 5% 95% 97.5% 99.5%
α 1.37E-01 1.34E-02 2.24E-02 4.22E-02 3.39E+00 2.21E+02 2.14E+03
N50 1.46E+04 5.09E+02 8.20E+02 1.06E+03 1.71E+08 8.25E+11 1.62E+18

 

Parameter scatter plot for beta Poisson model ellipses signify the 0.9, 0.95 and 0.99 confidence of the parameters.

beta Poisson model plot, with confidence bounds around optimized model

References