mice (10day old, day1-21) / Pseudomonas aeruginosa [1]
| Dose |
Dead |
Survived |
Total |
| 2.5 |
0 |
10 |
10 |
| 2.5 |
0 |
10 |
10 |
| 25 |
0 |
16 |
16 |
| 25 |
0 |
16 |
16 |
| 250 |
0 |
15 |
15 |
| 250 |
0 |
15 |
15 |
| 2500 |
0 |
13 |
13 |
| 2500 |
2 |
11 |
13 |
| 25000 |
12 |
4 |
16 |
| 25000 |
13 |
3 |
16 |
| 250000 |
14 |
3 |
17 |
| 250000 |
14 |
3 |
17 |
|
Goodness of fit and model selection
| Model |
Deviance |
Δ |
Degrees
of freedom |
χ20.95,1
p-value |
χ20.95,m-k
p-value |
| Exponential |
48.6
|
36.3 |
11 |
3.84
1.65e-09 |
19.7
1.09e-06 |
| Beta Poisson |
12.3
|
10 |
18.3
0.265 |
| Beta-Poisson fits better than exponential; cannot reject good fit for beta-Poisson. |
|
Optimized parameters for the beta-Poisson model, from 500 bootstrap iterations
| Parameter |
MLE estimate |
Percentiles |
| 0.5% |
2.5% |
5% |
95% |
97.5% |
99.5% |
| α |
6.01E-01 |
3.11E-01 |
3.69E-01 |
3.97E-01 |
1.04E+00 |
1.20E+00 |
2.01E+00 |
| N50 |
1.48E+04 |
8.01E+03 |
9.07E+03 |
1.00E+04 |
2.29E+04 |
2.55E+04 |
2.83E+04 |
|
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
QMRA