mice/ Strain 74/81 data [1]
Dose |
Dead |
Survived |
Total |
200 |
0 |
10 |
10 |
4000 |
1 |
9 |
10 |
5E+04 |
12 |
0 |
12 |
4E+05 |
16 |
0 |
16 |
|
Goodness of fit and model selection
Model |
Deviance |
Δ |
Degrees
of freedom |
χ20.95,1
p-value |
χ20.95,m-k
p-value |
Exponential |
2.34 |
-0.00145 |
3 |
3.84
1 |
7.81
0.506 |
Beta Poisson |
2.34 |
2 |
5.99
0.311 |
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 |
6.48E-05 |
5.45E-05 |
5.45E-05 |
5.45E-05 |
9.71E-05 |
9.71E-05 |
1.24E-04 |
ID50/LD50/ETC* |
1.07E+04 |
5.57E+03 |
7.14E+03 |
7.14E+03 |
1.27E+04 |
1.27E+04 |
1.27E+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