Description
Model data for S. Typhi (Quailes) in humans
Dose Disease No disease Total
1000 0 14 14
1E+05 28 76 104
1E+05 32 84 116
1E+07 15 15 30
1E+07 16 16 32
1E+08 8 1 9
1E+09 4 0 4
1E+09 40 2 42

 

Goodness of fit and model selection
Model Deviance Δ Degrees 
of freedom		 χ20.95,1 
p-value 		χ20.95,m-k 
p-value
Exponential 419 406 7 3.84 
0 		14.1 
0
Beta Poisson 13.8 6 12.6 
0.0321
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 1.75E-01 1.21E-01 1.32E-01 1.39E-01 2.23E-01 2.34E-01 2.58E-01
N50 1.11E+06 5.13E+05 6.10E+05 6.72E+05 2.00E+06 2.28E+06 2.95E+06

 

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
8.00
Μodel
beta-Poisson
N50
1.11E+06
LD50/ID50
1.11E+06
Dose Units
CFU
Response
disease
Exposure Route
oral (in milk)
Contains Preferred Model
a
1.75E-01
Agent Strain
Quailes
Experiment ID
79, 80
Host type
human
Description
Model data for S. Typhi (Quailes) in humans
Dose Disease No disease Total
1E+05 28 76 104
1E+07 15 15 30
1E+09 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 124 121 2 3.84 
0 		5.99 
0
Beta Poisson 2.87 1 3.84 
0.0905
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 1.11E-01 3.19E-02 4.80E-02 5.49E-02 1.96E-01 2.17E-01 2.59E-01
N50 3.45E+06 4.81E+05 6.95E+05 8.50E+05 9.53E+07 2.24E+08 4.19E+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
3.00
Μodel
beta-Poisson
N50
3.45E+06
LD50/ID50
3.45E+06"
Dose Units
CFU
Response
disease
Exposure Route
oral (in milk)
Contains Preferred Model
a
1.11E-01
Agent Strain
Quailes
Experiment ID
79
Host type
human
Description
human/type 39 strain SF 299 model data 
Dose Infected Non-infected Total
0.05 0 11 11
0.15 2 7 9
0.5 8 16 24
5 5 11 16
50 47 15 62

 

Goodness of fit and model selection
Model Deviance Δ Degrees 
of freedom		 χ20.95,1 
p-value 		χ20.95,m-k 
p-value
Exponential 50.3 44.3 4 3.84 
2.76e-11 		9.49 
3.06e-10
Beta Poisson 6.01 3 7.81 
0.111
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 2.24E-01 9.88E-04 1.40E-01 1.53E-01 3.71E-01 4.27E-01 7.63E-01
N50 3.29E+00 1.90E-02 1.34E+00 1.59E+00 7.67E+00 9.27E+00 1.59E+01

 

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
6.00
Μodel
beta-Poisson
N50
1.81E+00
LD50/ID50
1.81E+00
Dose Units
TCID50
Response
infection
Exposure Route
intranasal
Contains Preferred Model
a
2.21E-01
Agent Strain
type 39
Experiment ID
65
Host type
human
Description
human/type 14 strain SF 765model data 
Dose Infected Non-infected Total
0.5 1 8 9
1.5 4 6 10
5 4 6 10
15 6 4 10
150 27 13 40
300 10 2 12

 

Goodness of fit and model selection
Model Deviance Δ Degrees 
of freedom		 χ20.95,1 
p-value 		χ20.95,m-k 
p-value
Exponential 51.8 50.2 5 3.84 
1.42e-12 		11.1 
5.8e-10
Beta Poisson 1.68 4 9.49 
0.794
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 2.01E-01 7.76E-02 1.07E-01 1.22E-01 3.36E-01 3.69E-01 4.61E-01
N50 9.22E+00 1.41E+00 2.57E+00 3.40E+00 2.47E+01 3.14E+01 5.26E+01

 

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
6.00
Μodel
beta-Poisson
N50
9.22E+00
LD50/ID50
9.22E+00
Dose Units
TCID50
Response
infection
Exposure Route
intranasal
Contains Preferred Model
a
2.01E-01
Agent Strain
type 14
Experiment ID
64
Host type
human
Description
pigs/ Porcine enterovirus type 7 
Dose infected Non-infected Total
250 4 2 6
250 3 3 6
1000 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 0.614 -5.49e-05 2 3.84 
1 		5.99 
0.736
Beta Poisson 0.614 1 3.84 
0.433
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 3.74E-03 1.83E-03 2.19E-03 2.19E-03 5.62E-03 5.62E-03 5.62E-03
ID50/LD50/ETC* 1.85E+02 1.23E+02 1.23E+02 1.23E+02 3.16E+02 3.16E+02 3.79E+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
3.00
Μodel
exponential
LD50/ID50
1.85E+02
Dose Units
PFU
Response
infection
Exposure Route
oral
Contains Preferred Model
k
3.74E-03
Agent Strain
porcine, PE7-05i
Experiment ID
63
Host type
pig
Description
Pigs/ Porcine enterovirus type 3 Strain model data 
Dose infected Non-infected Total
100 0 3 3
250 0 6 6
1000 2 4 6

 

Goodness of fit and model selection
Model Deviance Δ Degrees 
of freedom		 χ20.95,1 
p-value 		χ20.95,m-k 
p-value
Exponential 1.24 -0.000314 2 3.84 
1 		5.99 
0.537
Beta Poisson 1.24 1 3.84 
0.265
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 2.96E-04 2.40E-17 2.40E-17 2.40E-17 7.19E-04 7.19E-04 1.02E-03
ID50/LD50/ETC* 2.34E+03 6.77E+02 9.64E+02 9.64E+02 2.89E+16 2.89E+16 2.89E+16
*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
exponential
LD50/ID50
2.34E+03
Dose Units
PFU
Response
infection
Exposure Route
oral
Contains Preferred Model
k
2.96E-04
Agent Strain
porcine, PE3-ECPO-6
Experiment ID
62
Host type
pig
Description
Chimpanzee data(Poliovirus type2) 
Dose INFECTED NON-INFECTED Total
15800 0 2 2
1580000 1 2 3
1.58E+07 5 3 8

 

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 1.17 2 3.84 
0.279 		5.99 
0.547
Beta Poisson 0.0337 1 3.84 
0.854
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 7.18E-08 1.75E-08 2.65E-08 2.84E-08 1.75E-07 2.12E-07 6.87E-07
ID50/LD50/ETC* 9.66E+06 1.01E+06 3.28E+06 3.97E+06 2.44E+07 2.62E+07 3.96E+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
3.00
Μodel
exponential
LD50/ID50
9.66E+06
Dose Units
TCID50
Response
alimentary infection
Exposure Route
oral (liquid)
Contains Preferred Model
k
7.18E-08
Agent Strain
type 2,attenuated
Experiment ID
59
Host type
Chimpanzee
Description
Human data( Poliovirus type 1) 
Dose INFECTED NON-INFECTED Total
0.2 0 2 2
2 2 1 3
20 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 0.415 -7.99e-07 2 3.84 
1 		5.99 
0.812
Beta Poisson 0.415 1 3.84 
0.519
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 4.91E-01 1.30E-01 1.30E-01 2.25E-01 1.39E+00 1.39E+00 1.39E+00
ID50/LD50/ETC* 1.41E+00 5.00E-01 5.00E-01 5.00E-01 3.08E+00 5.33E+00 5.33E+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
3.00
Μodel
exponential
LD50/ID50
1.41E+00
Dose Units
PD50 (mouse paralytic doses)
Response
alimentary infection
Exposure Route
oral (capsule)
Contains Preferred Model
k
4.91E-01
Agent Strain
type 1,attenuated
Experiment ID
56
Host type
human
Description
Dose response data 
Dose Infected Non-infected Total
30 0 8 8
300 0 7 7
3E+04 0 6 6
125000 2 1 3
5E+05 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 2.49 0.0417 4 3.84 
0.838 		9.49 
0.646
Beta Poisson 2.45 3 7.81 
0.484
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 3.68E-06 1.13E-06 1.35E-06 1.88E-06 9.60E-06 9.60E-06 9.60E-06
ID50/LD50/ETC* 1.89E+05 7.22E+04 7.22E+04 7.22E+04 3.68E+05 5.14E+05 6.14E+05
*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
exponential
LD50/ID50
1.89E+05
Dose Units
Cysts
Response
infection
Exposure Route
stomach tube
Contains Preferred Model
k
3.68E-06
Agent Strain
From infected humans
Experiment ID
48
Host type
muskrat
Description
Dose response data 
Dose Infected Non-infected Total
48 0 6 6
454 2 4 6
4460 1 2 3
550000 2 1 3

 

Goodness of fit and model selection
Model Deviance Δ Degrees 
of freedom		 χ20.95,1 
p-value 		χ20.95,m-k 
p-value
Exponential 22.5 21.3 3 3.84 
3.97e-06 		7.81 
5.14e-05
Beta Poisson 1.22 2 5.99 
0.544
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 1.37E-01 1.34E-02 2.24E-02 4.22E-02 3.39E+00 2.21E+02 2.14E+03
N50 1.46E+04 5.09E+02 8.20E+02 1.06E+03 1.71E+08 8.25E+11 1.62E+18

 

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
4.00
Μodel
beta-Poisson
N50
1.46E+04
LD50/ID50
1.46E+04
Dose Units
Cysts
Response
infection
Exposure Route
oral
Contains Preferred Model
a
1.37E-01
Agent Strain
From infected humans
Experiment ID
47
Host type
beaver
Subscribe to