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Experiment ID
45
Pathogen
Entamoeba coli
Contains Preferred Model
1
Reference
The experimental transmission of human intestinal protozoan parasites. I. Endamoeba coli cysts given in capsules
Host type
human
# of Doses
5.00
Μodel
beta-Poisson
a
1.01E-01
N50
3.41E+02
LD50/ID50
3.41E+02
Dose Units
Cysts
Response
infection
Agent Strain
From an infected human
Exposure Route
oral
Experiment Dataset
Description: 
Humans model data [1]
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

  1. 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.