Optimization Output for experiment 274
Monkeys / SCHU S-4 model data [1]
| Dose |
Dead |
Survived |
Total |
| 5 |
1 |
5 |
6 |
| 11 |
3 |
3 |
6 |
| 32 |
4 |
2 |
6 |
| 65 |
6 |
0 |
6 |
|
Goodness of fit and model selection
| Model |
Deviance |
Δ |
Degrees
of freedom |
χ20.95,1
p-value |
χ20.95,m-k
p-value |
| Exponential |
1.26 |
-0.000367 |
3 |
3.84
1 |
7.81
0.738 |
| Beta Poisson |
1.26 |
2 |
5.99
0.531 |
| 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 |
4.73E-02 |
2.28E-02 |
2.72E-02 |
2.98E-02 |
7.81E-02 |
9.03E-02 |
1.11E-01 |
| ID50/LD50/ETC* |
1.46E+01 |
6.27E+00 |
7.67E+00 |
8.88E+00 |
2.33E+01 |
2.55E+01 |
3.04E+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
QMRA