Experiment ID
312
Pathogen
Agent Strain
type 14
Contains Preferred Model
No
Reference
Hendley, J. O., Edmondson, W. P., & Gwaltney, J. M. (1972). Relation between Naturally Acquired Immunity and Infectivity of Two Rhinoviruses in Volunteers. Journal of Infectious Diseases, 125, 3.
Exposure Route
intranasal
Response
infection
Host type
human
# of Doses
6.00
Dose Units
TCID50
Μodel
beta-Poisson
a
1.81E-01
N50
2.22E+01
LD50/ID50
2.22E+01
Description
TITLE 
Dose INFECTION NOT

INFECTION || Total

0.5 0 4 4
1.5 2 3 5
5 1 4 5
15 4 3 7
150 13 8 21
300 5 2 7
Goodness of fit and model selection
Model Deviance Δ Degrees 
of freedom
χ20.95,1 
p-value
χ20.95,m-k 
p-value
Exponential 24.3 21.5 5 3.84 
{{{pbPbetter}}}
11.1 
0.000194
Beta Poisson 2.77 4 9.49 
0

selection

Beta-Poisson fits better than exponential; cannot reject good fit for beta-Poisson.
Optimized parameters for the beta-Poisson model, from 10000 bootstrapiterations
Parameter MLE estimate Percentiles
0.5% 2.5% 5% 95% 97.5% 99.5%
α 1.81E-01 3.92E-02 7.30E-02 9.02E-02 4.00E-01 4.79E-01 7.28E-01
N50 2.22E+01 3.12E+00 5.01E+00 6.38E+00 1.22E+02 2.06E+02 1.26E+03

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