Experiment ID
313
Pathogen
Agent Strain
type 39
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
2,00E-01
N50
1.05E+01
LD50/ID50
1.05E+01
Description
TITLE 
Dose INFECTION NOT

INFECTION || Total

0.05 0 4 4
0.15 1 4 5
0.5 3 14 17
1.5 4 10 14
5 4 11 15
50 28 14 42
Goodness of fit and model selection
Model Deviance Δ Degrees 
of freedom
χ20.95,1 
p-value
χ20.95,m-k 
p-value
Exponential 29.2 26.2 5 3.84 
{{{pbPbetter}}}
11.1 
2.16e-05
Beta Poisson 2.93 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 2E-01 7.86E-02 9.79E-02 1.11E-01 4.65E-01 5.58E-01 8.66E-01
N50 1.05E+01 3.00E+00 3.98E+00 4.65E+00 3.67E+01 5.32E+01 1.22E+02

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

  • Hendley, O. ., Edmondson, W. P. , Jr, & Gwaltney, J. M. , Jr. (1972). Relation between naturally acquired immunity and infectivity of two rhinoviruses in volunteers. Journal of Infectious Diseases, 125, 243–248.