Escherichia coli (EIEC 1624) in the human model data[1]
Dose |
Positive stool isolation |
No positive stool isolation |
Total |
1E+04 |
0 |
5 |
5 |
1E+06 |
5 |
4 |
9 |
1E+08 |
3 |
2 |
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 |
28.6 |
27.2 |
2 |
3.84
1.82e-07 |
5.99
6.18e-07 |
Beta Poisson |
1.38 |
1 |
3.84
0.24 |
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 |
1.55E-01 |
1.26E-03 |
1.26E-03 |
2.84E-02 |
1.84E+01 |
1.29E+02 |
1.90E+02 |
N50 |
2.11E+06 |
1.73E+05 |
2.95E+05 |
2.95E+05 |
7.85E+08 |
9.22E+140 |
9.22E+140 |
|
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 mode
References