Description
Mice/Salmonella strain 216 and 219 data 
Dose Dead Survived Total
5 7 8 15
25 4 11 15
125 7 8 15
630 9 6 15
3160 8 7 15
16000 13 2 15
8E+04 15 0 15
4E+05 15 0 15
2E+06 15 0 15
1E+07 15 0 15

 

Goodness of fit and model selection
Model Deviance Δ Degrees 
of freedom		 χ20.95,1 
p-value 		χ20.95,m-k 
p-value
Exponential 133 113 9 3.84 
0 		16.9 
0
Beta Poisson 20.5 8 15.5 
0.00846
Neither the exponential nor beta-Poisson fits well; beta-Poisson is less bad.

 

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 2.1E-01 1.45E-01 1.58E-01 1.65E-01 2.92E-01 3.14E-01 3.63E-01
N50 4.98E+01 8.10E+00 1.40E+01 1.72E+01 1.31E+02 1.62E+02 2.34E+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

# of Doses
10.00
Μodel
beta-Poisson
N50
4.98E+01
LD50/ID50
4.98E+01
Dose Units
CFU
Response
death
Exposure Route
intraperitoneal
Contains Preferred Model
a
2.1E-01
Agent Strain
strain 216 and 219
Experiment ID
246
Host type
mice
Description
Dose response data
Dose Dead Survived Total
200 0 10 10
4000 1 9 10
1E+04 1 4 5
15000 0 3 3
2E+04 5 2 7
5E+04 12 0 12
5E+04 3 0 3
1E+05 5 0 5
4E+05 16 0 16

 

Goodness of fit and model selection
Model Deviance Δ Degrees 
of freedom		 χ20.95,1 
p-value 		χ20.95,m-k 
p-value
Exponential 8.92 -0.000282 8 3.84 
1 		15.5 
0.349
Beta Poisson 8.92 7 14.1 
0.258
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 4.99E-05 3.55E-05 3.87E-05 3.95E-05 6.48E-05 6.76E-05 7.46E-05
ID50/LD50/ETC* 1.39E+04 9.29E+03 1.03E+04 1.07E+04 1.75E+04 1.79E+04 1.95E+04
*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

# of Doses
9.00
Μodel
exponential
LD50/ID50
1.39E+04
Dose Units
CFU
Response
death
Exposure Route
inhalation
Contains Preferred Model
k
4.99E-05
Agent Strain
strain 74/81
Experiment ID
242, 243
Host type
mice
Description
mice/ Strain 74/81 data
Dose Dead Survived Total
200 0 10 10
4000 1 9 10
5E+04 12 0 12
4E+05 16 0 16

 

Goodness of fit and model selection
Model Deviance Δ Degrees 
of freedom		 χ20.95,1 
p-value 		χ20.95,m-k 
p-value
Exponential 2.34 -0.00145 3 3.84 
1 		7.81 
0.506
Beta Poisson 2.34 2 5.99 
0.311
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 6.48E-05 5.45E-05 5.45E-05 5.45E-05 9.71E-05 9.71E-05 1.24E-04
ID50/LD50/ETC* 1.07E+04 5.57E+03 7.14E+03 7.14E+03 1.27E+04 1.27E+04 1.27E+04
*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

# of Doses
4.00
Μodel
exponential
LD50/ID50
1.07E+04
Dose Units
CFU
Response
death
Exposure Route
inhalation
Contains Preferred Model
k
6.48E-05
Agent Strain
strain 74/81
Experiment ID
242
Host type
mice
Description
Mouse/ KIM D27 model data 
Dose Dead Survived Total
100 0 10 10
1000 2 8 10
1E+04 6 4 10
1E+05 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 1.21 0.138 3 3.84 
0.711 		7.81 
0.75
Beta Poisson 1.07 2 5.99 
0.585
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 1.07E-04 3.85E-05 4.70E-05 5.57E-05 1.93E-04 2.22E-04 3.29E-04
ID50/LD50/ETC* 6.47E+03 2.11E+03 3.12E+03 3.59E+03 1.24E+04 1.48E+04 1.80E+04
*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

# of Doses
4.00
Μodel
exponential
LD50/ID50
6.47E+03
Dose Units
CFU
Response
death
Exposure Route
intranasal
Contains Preferred Model
k
1.07E-04
Agent Strain
KIM D27
Experiment ID
2
Host type
mice
Description
Mouse/ CO92 model data 
Dose Dead Survived Total
100 1 3 4
1000 3 1 4
1E+04 4 0 4
1E+05 4 0 4

 

Goodness of fit and model selection
Model Deviance Δ Degrees 
of freedom		 χ20.95,1 
p-value 		χ20.95,m-k 
p-value
Exponential 0.338 0.195 3 3.84 
0.658 		7.81 
0.953
Beta Poisson 0.142 2 5.99 
0.931
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 1.63E-03 3.62E-04 5.50E-04 6.22E-04 7.02E-03 7.02E-03 7.02E-03
ID50/LD50/ETC* 4.26E+02 9.87E+01 9.87E+01 9.87E+01 1.11E+03 1.26E+03 1.92E+03
*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

# of Doses
4.00
Μodel
exponential
LD50/ID50
4.26E+02
Dose Units
CFU
Response
death
Exposure Route
intranasal
Contains Preferred Model
k
1.63E-03
Agent Strain
CO92
Experiment ID
1
Host type
mice
Experiment Dataset
Dose Dead Survived Total
100 1 3 4
1000 3 1 4
1E+04 4 0 4
1E+05 4 0 4
Subscribe to mice