Dose response data [1]
Dose |
Infected |
Non-infected |
Total |
1 |
0 |
5 |
5 |
10 |
2 |
0 |
2 |
25 |
6 |
14 |
20 |
100 |
2 |
0 |
2 |
1E+04 |
3 |
0 |
3 |
1E+05 |
3 |
0 |
3 |
3E+05 |
3 |
0 |
3 |
1E+06 |
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 |
8.37 |
-0.000469 |
7 |
3.84
1 |
14.1
0.301 |
Beta Poisson |
8.37 |
6 |
12.6
0.212 |
Exponential is preferred to beta-Poisson; cannot reject good fit for exponential. |
|
Optimized k parameter for the exponential model, from 10000 bootstrap iterations
Parameter |
MLE estimate |
Percentiles |
0.5% |
2.5% |
5% |
95% |
97.5% |
99.5% |
k |
1.99E-02 |
8.50E-03 |
1.05E-02 |
1.26E-02 |
2.92E-02 |
3.29E-02 |
3.71E-02 |
ID50/LD50/ETC* |
3.48E+01 |
1.87E+01 |
2.11E+01 |
2.38E+01 |
5.49E+01 |
6.60E+01 |
8.15E+01 |
*Not a parameter of the exponential model; however, it facilitates comparison with other models. |
|

Parameter histogram for exponential model (uncertainty of the parameter)

Exponential model plot, with confidence bounds around optimized model
References