mice (5day old, day 1-21 pooled) / Pseudomonas aeruginosa [1]
| Dose |
Dead |
Survived |
Total |
| 2.5 |
0 |
13 |
13 |
| 2.5 |
0 |
13 |
13 |
| 25 |
0 |
14 |
14 |
| 25 |
0 |
14 |
14 |
| 250 |
0 |
12 |
12 |
| 250 |
0 |
12 |
12 |
| 2500 |
4 |
13 |
17 |
| 2500 |
4 |
13 |
17 |
| 25000 |
13 |
2 |
15 |
| 25000 |
15 |
0 |
15 |
| 250000 |
17 |
0 |
17 |
| 250000 |
17 |
0 |
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 |
4.36
|
-0.000549
|
|
3.84
1 |
19.7
0.958 |
| Beta Poisson |
4.36
|
10 |
18.3
0.93 |
| Exponential is preferred to beta-Poisson; cannot reject good fit for exponential. |
|
Optimized k parameter for the exponential model, from 500 bootstrap iterations
| Parameter |
MLE estimate |
Percentiles |
| 0.5% |
2.5% |
5% |
95% |
97.5% |
99.5% |
| k |
1.05E-04 |
6.84E-05 |
7.49E-05 |
7.84E-05 |
1.48E-04 |
1.57E-04 |
1.73E-04 |
| ID50/LD50/ETC* |
6.61E+03 |
4.01E+03 |
4.40E+03 |
4.68E+03 |
8.84E+03 |
9.26E+03 |
1.01E+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
QMRA