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Experiment ID
21,23
Pathogen
Burkholderia mallei
Agent Strain
W294, 316c
Contains Preferred Model
No
Reference
Miller, W. R., Pannell, L. ., Cravitz, L. ., Tanner, W. A., & Rosebury, T. . (1948). Studies on Certain Biological Characteristics of Malleomyces mallei and Malleomyces pseudomallei. Journal of Bacteriology, 55, 1.
Exposure Route
intraperitoneal
Response
death
Host type
guinea pig and diabetic rat
# of Doses
11.00
Dose Units
CFU
Μodel
beta-Poisson
a
2.13E-01
N50
4.77E+02
LD50/ID50
4.77E+02
Experiment Dataset
Description
Pooled data of guinea pig and diabetic rat  
Dose DEATH NOT DEATH Total
44 1 4 5
440 3 2 5
3000 6 4 10
4400 4 1 5
3E+04 7 3 10
44000 5 0 5
3E+05 7 3 10
440000 5 0 5
3E+06 10 0 10
4.4E+06 4 1 5
3E+07 10 0 10

 

Goodness of fit and model selection
Model Deviance Δ Degrees 
of freedom		 χ20.95,1 
p-value 		χ20.95,m-k 
p-value
Exponential 163 152 10 3.84 
0 		18.3 
0
Beta Poisson 10.1 9 16.9 
0.343
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 2.13E-01 9.14E-02 1.26E-01 1.39E-01 3.38E-01 3.76E-01 5.60E-01
N50 4.77E+02 3.04E+00 1.63E+01 7.19E+01 2.16E+03 2.75E+03 4.44E+03
Parameter scatter plot for beta Poisson model ellipses signify the 0.9, 0.95 and 0.99 confidence of the parameters.
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
beta Poisson model plot, with confidence bounds around optimized model

References