| 
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