Description
Intraperitoneal2.png
Host
Balb/c Mice
# of Doses
4.00
Μodel
LD50/ID50
4.23E+08
Dose Units
Response
Exposure Route
Contains Preferred Model
Status
fitted
k
1.64E-09
Agent Strain
E. anopheles
Experiment ID
ek_ intraperitoneal2
Experiment Dataset
Description
intraperitoneal
Host
Spiny Frogs
# of Doses
4.00
Μodel
N50
4.23E+08 (β = 137,348)
LD50/ID50
4.23E+08
Dose Units
Response
Exposure Route
Contains Preferred Model
Status
fitted
a
0.72
Agent Strain
E. miricola
Experiment ID
ek_intraperitoneal
Experiment Dataset
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/phase I Ohio strain model data 
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

 

# of Doses
10.00
Μodel
N50
4.93E+08
LD50/ID50
4.93E+08
Dose Units
Response
Exposure Route
Contains Preferred Model
a
3.57E-01
Agent Strain
phase I Ohio
Experiment ID
28
Host type
Description
Mice/Nine mile phase I model data 
Dose Dead Survived Total
0.05 0 10 10
0.5 0 10 10
5 0 10 10
50 0 10 10
501 0 10 10
5010 0 10 10
50100 0 10 10
501000 0 10 10
5010000 0 10 10
5.01E+07 0 10 10
5.01E+08 1 9 10
5.01E+09 3 7 10
5.01E+10 9 1 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 1.63 0.936 12 3.84 
0.333
21 
1
Beta Poisson 0.693 11 19.7 
1
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 5.7E-11 2.31E-11 2.94E-11 3.33E-11 1.38E-10 1.61E-10 2.13E-10
ID50/LD50/ETC* 1.22E+10 3.25E+09 4.30E+09 5.02E+09 2.08E+10 2.36E+10 2.99E+10
*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
13.00
Μodel
LD50/ID50
1.22E+10
Dose Units
Response
Exposure Route
Contains Preferred Model
k
5.7E-11
Agent Strain
Nine mile phase I
Experiment ID
26
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
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
N50
4.98E+01
LD50/ID50
4.98E+01
Dose Units
Response
Exposure Route
Contains Preferred Model
a
2.1E-01
Agent Strain
strain 216 and 219
Experiment ID
246
Host type