Guinea Pigs W294 Strain Data [1]
| Dose |
Dead |
Survived |
Total |
| 44 |
1 |
4 |
5 |
| 440 |
3 |
2 |
5 |
| 4400 |
4 |
1 |
5 |
| 44000 |
5 |
0 |
5 |
| 440000 |
5 |
0 |
5 |
| 4.4E+06 |
4 |
1 |
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 |
70.3 |
66.1 |
5 |
3.84
4.44e-16 |
11.1
8.93e-14 |
| Beta Poisson |
4.14 |
4 |
9.49
0.387 |
| Beta-Poisson fits better than exponential; cannot reject good fit for beta-Poisson. |
|
Optimized parameters for the beta-Poisson model, from 10000 bootstrap iterations
| Parameter |
MLE estimate |
Percentiles |
| 0.5% |
2.5% |
5% |
95% |
97.5% |
99.5% |
| α |
2.67E-01 |
3.36E-02 |
8.80E-02 |
1.16E-01 |
1.05E+01 |
3.45E+02 |
3.55E+03 |
| N50 |
2.55E+02 |
4.80E-07 |
2.49E+00 |
1.48E+01 |
1.35E+03 |
1.80E+03 |
3.22E+03 |
|
Parameter scatter plot for beta Poisson model ellipses signify the 0.9, 0.95 and 0.99 confidence of the parameters.
beta Poisson model plot, with confidence bounds around optimized model
References