Description
White rabbit /  Pseudomonas aeruginosa 
Dose Severe Stromal Ulceration

Not Corneal Ulceration

 Total
63.2 0 5 5
2220 2 3 5
13200 1 4 5
78000 1 4 5
462000 4 1 5

 

Goodness of fit and model selection
Model Deviance Δ Degrees 
of freedom		 χ20.95,1 
p-value 		χ20.95,m-k 
p-value
Exponential

13.2

 8.73 4 3.84 
0.00313  		9.49 
0.0105
Beta Poisson

4.43

 3 7.81 
0.219
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 1.09E-01 4.05E-02 5.23E-02 5.72E-02 9.05E+06 4.82E+07 2.53E+12
N50 1.52E+05 4.66E+03 1.13E+04 1.55E+04 1.55E+07 6.25E+07 1.96E+09

 

Parameter histogram for exponential model (uncertainty of the parameter)

Exponential model plot, with confidence bounds around optimized model

# of Doses
5.00
Μodel
beta-Poisson
N50
1.52E+05
LD50/ID50
1.52E+05
Dose Units
CFU
Response
Severe stromal ulceration
Exposure Route
contact lens
Contains Preferred Model
a
1.09E-01
Experiment ID
298
Host type
white rabbit
Description
White rabbit /  Pseudomonas aeruginosa 
Dose Corneal Ulceration

Not Corneal Ulceration

 Total
63.2 0 5 5
2220 2 3 5
13200 3 2 5
78000 3 2 5
462000 5 0 5

 

Goodness of fit and model selection
Model Deviance Δ Degrees 
of freedom		 χ20.95,1 
p-value 		χ20.95,m-k 
p-value
Exponential

9.41

 7.02 4 3.84 
0.00807  		9.49 
0.0516
Beta Poisson

2.39

 3 7.81 
0.495
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 3.55E-01 1.53E-01 1.76E-01 1.91E-01 4.52E+00 1.73E+07 1.35E+11
N50 6.57E+03 7.71E+02 1.44E+03 1.70E+03 2.55E+04 4.30E+04 8.32E+04

 

Parameter histogram for exponential model (uncertainty of the parameter)

Exponential model plot, with confidence bounds around optimized model

# of Doses
5.00
Μodel
beta-Poisson
N50
6.57E+03
LD50/ID50
6.57E+03
Dose Units
CFU
Response
corneal ulceration
Exposure Route
contact lens
Contains Preferred Model
a
3.55E-01
Experiment ID
297
Host type
white rabbit
Description
Pooled data of White rabbit /  Pseudomonas aeruginosa 
Dose Corneal Ulceration

Not Corneal Ulceration

 Total
63.2 0 5 5
63.2 0 5 5
2220 2 3 5
2220 2 3 5
13200 3 2 5
13200 1 4 5
78000 3 2 5
78000 1 4 5
462000 5 0 5
462000 4 1 5

 

Goodness of fit and model selection
Model Deviance Δ Degrees 
of freedom		 χ20.95,1 
p-value 		χ20.95,m-k 
p-value
Exponential

30.9

 20.8 9 3.84 
5.11e-06  		16.9 
0.000312
Beta Poisson

10.1

 8 15.5 
0.26
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 1.9E-01 9.63E-02 1.15E-01 1.24E-01 3.86E-01 5.51E-01 2.50E+00
N50 1.85E+04 3.18E+03 4.73E+03 6.01E+03 7.05E+04 8.98E+04 1.97E+05

 

Parameter histogram for exponential model (uncertainty of the parameter)

Exponential model plot, with confidence bounds around optimized model

# of Doses
10.00
Μodel
beta-Poisson
N50
1.85E+04
LD50/ID50
1.85E+04
Dose Units
CFU
Response
corneal ulceration
Exposure Route
contact lens
Contains Preferred Model
a
1.9E-01
Experiment ID
297 & 298
Host type
white rabbit
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