mice/Naegleria fowleri LEE strain data [1]
Dose |
Dead |
Survived |
Total |
2.5E+06 |
4 |
6 |
10 |
5E+06 |
19 |
1 |
20 |
1E+07 |
10 |
0 |
10 |
|
Goodness of fit and model selection
Model |
Deviance |
Δ |
Degrees
of freedom |
χ20.95,1
p-value |
χ20.95,m-k
p-value |
Exponential |
4.11 |
-9.67 |
2 |
3.84
1 |
5.99
0.128 |
Beta Poisson |
13.8 |
1 |
3.84
0.000206 |
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 |
4.21E-07 |
2.77E-07 |
3.04E-07 |
3.25E-07 |
5.95E-07 |
6.79E-07 |
8.02E-07 |
ID50/LD50/ETC* |
1.64E+06 |
8.65E+05 |
1.02E+06 |
1.16E+06 |
2.13E+06 |
2.28E+06 |
2.50E+06 |
*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