Guinea pig/Vollum Strain model data [1]
| Dose |
Dead |
Survived |
Total |
| 19800 |
8 |
24 |
32 |
| 40800 |
18 |
14 |
32 |
| 76200 |
21 |
11 |
32 |
| 118000 |
28 |
4 |
32 |
|
Goodness of fit and model selection
| Model |
Deviance |
Δ |
Degrees
of freedom |
χ20.95,1
p-value |
χ20.95,m-k
p-value |
| Exponential |
1.43 |
-0.000184 |
3 |
3.84
1 |
7.81
0.699 |
| Beta Poisson |
1.43 |
2 |
5.99
0.49 |
| Exponential is preferred to beta-Poisson; cannot reject good fit for exponential. |
|
Optimized parameters for the exponential model, from 10000 bootstrap iterations
| Parameter |
MLE estimate |
Percentiles |
| 0.5% |
2.5% |
5% |
95% |
97.5% |
99.5% |
| k |
1.65E-05 |
1.20E-05 |
1.30E-05 |
1.35E-05 |
2.03E-05 |
2.12E-05 |
2.28E-05 |
| ID50/LD50/ETC* |
4.2E+04 |
3.04E+04 |
3.27E+04 |
3.41E+04 |
5.14E+04 |
5.35E+04 |
5.80E+04 |
| *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