Host type
# of Doses
10.00
Μodel
a
3.57E-01
N50
4.93E+08
LD50/ID50
4.93E+08
Dose Units
Response
Agent Strain
phase I Ohio
Exposure Route
Experiment Dataset
Description: 
Mice/phase I Ohio strain model data [2]
Dose Dead Survived Total
0.7 0 30 30
7 0 20 20
70 0 30 30
7000 0 30 30
7E+05 0 30 30
7E+06 1 19 20
7E+07 6 24 30
7E+08 16 14 30
7E+09 23 7 30
7E+10 19 1 20

 

Goodness of fit and model selection
Model Deviance Δ Degrees 
of freedom
χ20.95,1 
p-value
χ20.95,m-k 
p-value
Exponential 73.9 72.8 9 3.84 
0
16.9 
2.65e-12
Beta Poisson 1.11 8 15.5 
0.997
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 3.57E-01 1.91E-01 2.20E-01 2.38E-01 6.34E-01 7.08E-01 9.84E-01
N50 4.93E+08 1.89E+08 2.41E+08 2.73E+08 9.34E+08 1.06E+09 1.36E+09

 

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