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Experiment ID
45
Pathogen
Entamoeba coli
Agent Strain
From an infected human
Contains Preferred Model
Yes
Reference
Rendtorff, R. C. (1954). The experimental transmission of human intestinal protozoan parasites. I. Endamoeba coli cysts given in capsules. American Journal of Hygiene, 59, 2. https://doi.org/https://doi.org/10.1093/oxfordjournals.aje.a119633
Exposure Route
oral
Response
infection
Host type
human
# of Doses
5.00
Dose Units
Cysts
Μodel
beta-Poisson
a
1.01E-01
N50
3.41E+02
LD50/ID50
3.41E+02
Description
Humans model data 
Dose Infected Non Infected Total
1 1 7 8
10 3 7 10
100 2 2 4
1000 0 2 2
1E+04 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 27.8 22.8 4 3.84 
1.81e-06 		9.49 
 1.36e-05
Beta Poisson 5.04 3 7.81 
0.169
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 1.01E-01 1.20E-03 2.60E-02 3.61E-02 2.12E-01 2.57E-01 3.08E-01
N50 3.41E+02 5.02E+00 1.73E+01 2.61E+01 1.48E+05 2.08E+06 1.19E+10

 

 

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