Description
Mouse/ CO92 model data 
Dose Dead Survived Total
2 0 20 20
8 5 15 20
26 13 7 20
74 9 1 10
257 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 3.12 -9.43e-05 4 3.84 
1
9.49 
0.539
Beta Poisson 3.12 3 7.81 
0.374
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 3.45E-02 2.01E-02 2.28E-02 2.44E-02 4.89E-02 5.18E-02 5.79E-02
ID50/LD50/ETC* 2.01E+01 1.20E+01 1.34E+01 1.42E+01 2.84E+01 3.04E+01 3.44E+01
*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
5.00
Μodel
LD50/ID50
2.01E+01
Dose Units
Response
Exposure Route
Contains Preferred Model
k
3.45E-02
Agent Strain
CO92
Experiment ID
3
Host type
Description
Mice/ Aa strain model data
Dose Dead Survived Total
1E+04 0 22 22
1E+05 1 21 22
1E+06 1 10 11
1E+07 16 6 22
1E+08 22 0 22

 

Goodness of fit and model selection
Model Deviance Δ Degrees 
of freedom
χ20.95,1 
p-value
χ20.95,m-k 
p-value
Exponential 1.27 0.0341 4 3.84 
0.854
9.49 
0.867
Beta Poisson 1.23 3 7.81 
0.745
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 1.33E-07 6.86E-08 7.91E-08 8.83E-08 2.06E-07 2.24E-07 2.75E-07
ID50/LD50/ETC* 5.22E+06 2.52E+06 3.10E+06 3.37E+06 7.85E+06 8.76E+06 1.01E+07
*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
5.00
Μodel
LD50/ID50
5.22E+06
Dose Units
Response
Exposure Route
Contains Preferred Model
k
1.33E-07
Agent Strain
Aa strain
Experiment ID
275
Host type
Description
mice/ H5N1,DKGX/35 strain model data [4]
Dose Dead Survived Total
10 1 4 5
100 3 2 5
1000 5 0 5
1E+04 5 0 5
1E+05 5 0 5
1E+06 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 0.498 0.0917 5 3.84 
0.762
11.1 
0.992
Beta Poisson 0.406 4 9.49 
0.982
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 1.09E-02 3.14E-03 3.29E-03 4.56E-03 2.78E-02 3.48E-02 5.42E-02
ID50/LD50/ETC* 6.38E+01 1.28E+01 1.99E+01 2.49E+01 1.52E+02 2.11E+02 2.21E+02
*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
6.00
Μodel
LD50/ID50
6.38E+01
Dose Units
Response
Exposure Route
Contains Preferred Model
k
1.09E-02
Agent Strain
H5N1, DKGX/35 strain
Experiment ID
259
Host type
Description
Mice/Naegleria fowleri LEE strain data 
Dose Dead Survived Total
1E+06 4 16 20
2.5E+06 12 8 20
5E+06 14 6 20
1E+07 20 0 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 3.47 -0.000862 3 3.84 
1
7.81 
0.325
Beta Poisson 3.47 2 5.99 
0.177
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 3.07E-07 2.11E-07 2.31E-07 2.41E-07 3.98E-07 4.21E-07 4.68E-07
ID50/LD50/ETC* 2.26E+06 1.48E+06 1.65E+06 1.74E+06 2.88E+06 3.01E+06 3.28E+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

# of Doses
4.00
Μodel
LD50/ID50
2.26E+06
Dose Units
Response
Exposure Route
Contains Preferred Model
k
3.07E-07
Agent Strain
LEE strain
Experiment ID
254
Host type
Description
mice/ Naegleria fowleri LEE strain model data 
Dose Dead Survived Total
1E+06 4 16 20
2.5E+06 4 6 10
2.5E+06 12 8 20
5E+06 19 1 20
5E+06 14 6 20
1E+07 10 0 10
1E+07 20 0 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 8.85 -0.000501 6 3.84 
1
12.6 
0.182
Beta Poisson 8.85 5 11.1 
0.115
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 3.42E-07 2.57E-07 2.75E-07 2.84E-07 4.15E-07 4.34E-07 4.67E-07
ID50/LD50/ETC* 2.03E+06 1.48E+06 1.60E+06 1.67E+06 2.44E+06 2.52E+06 2.70E+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

# of Doses
7.00
Μodel
LD50/ID50
2.03E+06
Dose Units
Response
Exposure Route
Contains Preferred Model
k
3.42E-07
Agent Strain
LEE strain
Experiment ID
253, 254
Host type
Description
mice/Naegleria fowleri LEE strain data 
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

# of Doses
3.00
Μodel
LD50/ID50
1.64E+06
Dose Units
Response
Exposure Route
Contains Preferred Model
k
4.21E-07
Agent Strain
LEE strain
Experiment ID
253
Host type
Description
mice/BSE agent model data 
Dose Infected Non-infected Total
0.0186 0 13 13
0.186 4 12 16
1.86 9 5 14
18.6 13 0 13

 

Goodness of fit and model selection
Model Deviance Δ Degrees 
of freedom
χ20.95,1 
p-value
χ20.95,m-k 
p-value
Exponential 2.78 0.763 3 3.84 
0.382
7.81 
0.427
Beta Poisson 2.01 2 5.99 
0.365
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 6.93E-01 3.03E-01 3.69E-01 4.16E-01 1.14E+00 1.32E+00 1.70E+00
ID50/LD50/ETC* 1E+00 4.08E-01 5.27E-01 6.08E-01 1.67E+00 1.88E+00 2.29E+00
*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
LD50/ID50
1
Dose Units
Response
Exposure Route
Contains Preferred Model
k
6.93E-01
Agent Strain
BSE agent
Experiment ID
252
Host type
Description
mice/ scrapie strain C506M3 model data 
Dose Dead Survived Total
125 0 11 11
1250 1 9 10
12500 2 8 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 1.34 0.99 2 3.84 
0.32
5.99 
0.512
Beta Poisson 0.35 1 3.84 
0.554
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 2.4E-05 1.00E-13 1.00E-13 7.23E-06 5.47E-05 5.81E-05 7.44E-05
ID50/LD50/ETC* 2.89E+04 9.32E+03 1.19E+04 1.27E+04 9.58E+04 6.92E+12 6.92E+12
*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
3.00
Μodel
LD50/ID50
2.89E+04
Dose Units
Response
Exposure Route
Contains Preferred Model
k
2.4E-05
Agent Strain
scrapie strain C506M3
Experiment ID
251
Host type
Description
Mice/ Salmonella strain 533 data 
Dose Dead Survived Total
1E+04 20 180 200
1E+05 17 153 170
1E+06 11 29 40
3160000 6 24 30
1E+07 12 8 20
3.16E+07 17 3 20
1E+08 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 214 165 6 3.84 
0
12.6 
0
Beta Poisson 48.7 5 11.1 
2.56e-09
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 1.08E-01 6.19E-02 7.06E-02 7.52E-02 1.79E-01 1.98E-01 2.44E-01
N50 9.66E+06 1.93E+06 2.43E+06 2.82E+06 5.38E+07 8.11E+07 2.13E+08

 

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
7.00
Μodel
N50
9.66E+06
LD50/ID50
9.66E+06
Dose Units
Response
Exposure Route
Contains Preferred Model
a
1.08E-01
Agent Strain
strain 533
Experiment ID
248
Host type
Description
Mice/ Salmonella strain 533 data 
Dose Dead Survived Total
603 6 36 42
1910 3 39 42
6030 7 35 42
19100 5 42 47
60300 6 34 40
191000 3 29 32
603000 6 20 26
1910000 7 7 14
6030000 7 5 12
1.91E+07 10 2 12
6.03E+07 13 0 13

 

Goodness of fit and model selection
Model Deviance Δ Degrees 
of freedom
χ20.95,1 
p-value
χ20.95,m-k 
p-value
Exponential 193 146 10 3.84 
0
18.3 
0
Beta Poisson 47.5 9 16.9 
3.22e-07
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 6.21E-02 3.53E-02 4.06E-02 4.32E-02 1.09E-01 1.25E-01 1.80E-01
N50 3.46E+07 9.76E+05 1.69E+06 2.40E+06 9.41E+08 2.13E+09 1.34E+10

 

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
11.00
Μodel
N50
3.46E+07
LD50/ID50
3.46E+07
Dose Units
Response
Exposure Route
Contains Preferred Model
a
6.21E-02
Agent Strain
strain 533
Experiment ID
247
Host type