Host type
# of Doses
24.00
Μodel
a
1.45E-01
N50
5.01E+01
LD50/ID50
5.01E+01
Dose Units
Response
Agent Strain
NA
Exposure Route
Experiment Dataset
Description: 
Rhesus monkey Data [1]
Dose Dead Survived Total
25 1 3 4
66 2 0 2
83 2 0 2
99 1 1 2
182 3 4 7
1111 1 1 2
1774 1 1 2
2287 1 1 2
2586 2 0 2
3166 1 1 2
5055 6 1 7
5519 2 0 2
5652 2 0 2
5669 1 0 1
7459 2 0 2
9199 1 1 2
10774 2 0 2
16790 1 1 2
41023 2 0 2
45498 1 2 3
53206 2 0 2
55195 2 0 2
131771 1 1 2
149175 2 0 2

 

Goodness of fit and model selection
Model Deviance Δ Degrees 
of freedom
χ20.95,1 
p-value
χ20.95,m-k 
p-value
Exponential 137 113 23 3.84 
0
35.2 
0
Beta Poisson 24 22 33.9 
0.345
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 1.45E-01 1.82E-02 2.72E-02 4.15E-02 2.59E-01 2.87E-01 3.49E-01
N50 5.01E+01 6.71E-12 6.31E-07 2.86E-03 2.62E+02 3.28E+02 4.87E+02

 

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