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Experiment ID
300 and 301
Pathogen
Rickettsia rickettsi
Contains Preferred Model
1
Reference
Aerosol infection of monkeys with Rickettsia rickettsii
Host type
pooled
# of Doses
27.00
Μodel
beta-Poisson
a
7.77E-01
N50
2.13E+01
LD50/ID50
2.13E+01
Dose Units
CFU
Response
morbidity
Agent Strain
R1 and Sheila Smith
Experiment Dataset
Description: 
Pooled data (experiment no. 300 and 301) [1]
Dose MORBIDITY NOT MORBIDITY Total
13 2 4 6
25 1 3 4
66 2 0 2
83 2 0 2
99 2 0 2
126 6 1 7
182 7 0 7
1110 1 1 2
1260 17 1 18
1770 2 0 2
2290 2 0 2
2590 2 0 2
3170 2 0 2
5060 7 0 7
5520 2 0 2
5650 2 0 2
5670 1 0 1
7460 2 0 2
9200 2 0 2
10800 2 0 2
16800 2 0 2
41000 2 0 2
45500 3 0 3
53200 2 0 2
55200 2 0 2
132000 2 0 2
149000 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 42.2 30.5 26 3.84 
3.41e-08		 38.9 
0.0235
Beta Poisson 11.7 25 37.7 
0.989
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 7.77E-01 3.82E-01 4.41E-01 4.90E-01 4.24E+00 3.59E+03 3.25E+04
N50 2.13E+01 5.70E+00 8.34E+00 1.01E+01 4.00E+01 4.16E+01 5.10E+01

 

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. Saslaw, S., & Carlisle H. N. (1966).  Aerosol infection of monkeys with Rickettsia rickettsii. Bacteriological Reviews. 30, 3.