Mice/MHV-1 strains model data [3]
Dose |
Dead |
Survived |
Total |
5 |
0 |
5 |
5 |
50 |
1 |
4 |
5 |
500 |
3 |
2 |
5 |
5000 |
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 |
0.606 |
0.0689 |
3 |
3.84
0.793 |
7.81
0.895 |
Beta Poisson |
0.537 |
2 |
5.99
0.765 |
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 |
2.14E-03 |
6.25E-04 |
6.55E-04 |
9.06E-04 |
6.58E-03 |
6.58E-03 |
9.86E-03 |
ID50/LD50/ETC* |
3.24E+02 |
7.03E+01 |
1.05E+02 |
1.05E+02 |
7.65E+02 |
1.06E+03 |
1.11E+03 |
*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