Mouse/ CO92 model data [1]
| Dose |
Dead |
Survived |
Total |
| 2 |
0 |
20 |
20 |
| 8 |
5 |
15 |
20 |
| 26 |
13 |
7 |
20 |
| 74 |
9 |
1 |
10 |
| 257 |
10 |
0 |
10 |
|
Goodness of fit and model selection
| Model |
Deviance |
Δ |
Degrees
of freedom |
χ20.95,1
p-value |
χ20.95,m-k
p-value |
| Exponential |
3.12 |
-9.43e-05 |
4 |
3.84
1 |
9.49
0.539 |
| Beta Poisson |
3.12 |
3 |
7.81
0.374 |
| 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 |
3.45E-02 |
2.01E-02 |
2.28E-02 |
2.44E-02 |
4.89E-02 |
5.18E-02 |
5.79E-02 |
| ID50/LD50/ETC* |
2.01E+01 |
1.20E+01 |
1.34E+01 |
1.42E+01 |
2.84E+01 |
3.04E+01 |
3.44E+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