Experiment ID
310
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
2.52E-01
N50
3.83E+00
LD50/ID50
3.83E+00
Description
TITLE 
Dose INFECTION NOT

INFECTION || Total

0.5 1 4 5
1.5 2 3 5
5 3 2 5
15 2 1 3
150 14 5 19
300 5 0 5
Goodness of fit and model selection
Model Deviance Δ Degrees 
of freedom
χ20.95,1 
p-value
χ20.95,m-k 
p-value
Exponential 29.7 27.3 5 3.84 
{{{pbPbetter}}}
11.1 
1.71e-05
Beta Poisson 2.42 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 2.52E-01 9.79E-04 9.14E-02 1.16E-01 5.50E-01 6.41E-01 1.06E+00
N50 3.83E+00 9.08E-03 3.23E-01 6.41E-01 1.48E+01 2.04E+01 8.86E+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

  • 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.