Exposure Route:
intranasal
Optimized parameters:
a = 2.52E01
N_{50} = 3.83E+00
TITLE
Dose 
INFECTION 
NOT
INFECTION  Total

0.5 
1 
4 
5 
1.5 
2 
3 
5 
5 
3 
2 
5 
15 
2 
1 
3 
150 
14 
5 
19 
300 
5 
0 
5 

Goodness of fit and model selection
Model 
Deviance 
Δ 
Degrees
of freedom 
χ^{2}_{0.95,1}
pvalue

χ^{2}_{0.95,mk}
pvalue

Exponential 
29.7 
27.3 
5 
3.84
{{{pbPbetter}}}

11.1
1.71e05

Beta Poisson 
2.42 
4 
9.49
0
selection

BetaPoisson fits better than exponential; cannot reject good fit for betaPoisson. 

Optimized parameters for the betaPoisson model, from 10000 bootstrapiterations
Parameter 
MLE estimate 
Percentiles 
0.5% 
2.5% 
5% 
95% 
97.5% 
99.5% 
α 
2.52E01 
9.79E04 
9.14E02 
1.16E01 
5.50E01 
6.41E01 
1.06E+00 
N_{50}

3.83E+00 
9.08E03 
3.23E01 
6.41E01 
1.48E+01 
2.04E+01 
8.86E+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
Exposure Route:
intranasal
Optimized parameters:
a = 7.01E01
N_{50} = 1.9E01
Optimization Output for experiment 311
TITLE
Dose 
INFECTION 
NOT
INFECTION  Total

0.05 
0 
2 
2 
0.15 
1 
3 
4 
0.5 
5 
2 
7 
1.5 
18 
1 
19 
5 
1 
0 
1 
50 
19 
1 
20 

Goodness of fit and model selection
Model 
Deviance 
Δ 
Degrees
of freedom 
χ^{2}_{0.95,1}
pvalue

χ^{2}_{0.95,mk}
pvalue

Exponential 
61.7 
56.8 
5 
3.84
{{{pbPbetter}}}

11.1
5.32e12

Beta Poisson 
4.95 
4 
9.49
0
selection

BetaPoisson fits better than exponential; cannot reject good fit for betaPoisson. 

Optimized parameters for the betaPoisson model, from 10000 bootstrapiterations
Parameter 
MLE estimate 
Percentiles 
0.5% 
2.5% 
5% 
95% 
97.5% 
99.5% 
α 
7.01E01 
2.29E01 
3.14E01 
3.63E01 
1.81E+06 
3.82E+06 
1.41E+07 
N_{50}

1.9E01 
2.27E02 
5.85E02 
7.93E02 
4.20E01 
4.52E01 
5.56E01 

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
Exposure Route:
intranasal
Optimized parameters:
a = 1.81E01
N_{50} = 2.22E+01
TITLE
Dose 
INFECTION 
NOT
INFECTION  Total

0.5 
0 
4 
4 
1.5 
2 
3 
5 
5 
1 
4 
5 
15 
4 
3 
7 
150 
13 
8 
21 
300 
5 
2 
7 

Goodness of fit and model selection
Model 
Deviance 
Δ 
Degrees
of freedom 
χ^{2}_{0.95,1}
pvalue

χ^{2}_{0.95,mk}
pvalue

Exponential 
24.3 
21.5 
5 
3.84
{{{pbPbetter}}}

11.1
0.000194

Beta Poisson 
2.77 
4 
9.49
0
selection

BetaPoisson fits better than exponential; cannot reject good fit for betaPoisson. 

Optimized parameters for the betaPoisson model, from 10000 bootstrapiterations
Parameter 
MLE estimate 
Percentiles 
0.5% 
2.5% 
5% 
95% 
97.5% 
99.5% 
α 
1.81E01 
3.92E02 
7.30E02 
9.02E02 
4.00E01 
4.79E01 
7.28E01 
N_{50}

2.22E+01 
3.12E+00 
5.01E+00 
6.38E+00 
1.22E+02 
2.06E+02 
1.26E+03 

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
Exposure Route:
intranasal
Optimized parameters:
a = 1.82E01
N_{50} = 1.38E+01
TITLE
Dose 
INFECTION 
NOT
INFECTION  Total

0.05 
0 
4 
4 
0.15 
1 
4 
5 
0.5 
0 
4 
4 
0.5 
3 
14 
17 
1.5 
2 
3 
5 
1.5 
4 
10 
14 
5 
1 
4 
5 
5 
4 
11 
15 
15 
4 
3 
7 
50 
28 
14 
42 
150 
13 
8 
21 
300 
5 
2 
7 

"
Goodness of fit and model selection
Model 
Deviance 
Δ 
Degrees
of freedom 
χ^{2}_{0.95,1}
pvalue

χ^{2}_{0.95,mk}
pvalue

Exponential 
78.6 
72.3 
11 
3.84
{{{pbPbetter}}}

19.7
2.8e12

Beta Poisson 
6.22 
10 
18.3
0.796

{{{interpretation}}} 

"
Optimized parameters for the betaPoisson model, from 10000 bootstrapiterations
Parameter 
MLE estimate 
Percentiles 
0.5% 
2.5% 
5% 
95% 
97.5% 
99.5% 
α 
1.82E01 
1.04E03 
1.03E01 
1.14E01 
3.04E01 
3.38E01 
4.09E01 
N_{50}

1.38E+01 
2.98E+00 
5.64E+00 
6.67E+00 
3.77E+01 
4.98E+01 
1.32E+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
Exposure Route:
intranasal
Optimized parameters:
a = 2,00E01
N_{50} = 1.05E+01
TITLE
Dose 
INFECTION 
NOT
INFECTION  Total

0.05 
0 
4 
4 
0.15 
1 
4 
5 
0.5 
3 
14 
17 
1.5 
4 
10 
14 
5 
4 
11 
15 
50 
28 
14 
42 

Goodness of fit and model selection
Model 
Deviance 
Δ 
Degrees
of freedom 
χ^{2}_{0.95,1}
pvalue

χ^{2}_{0.95,mk}
pvalue

Exponential 
29.2 
26.2 
5 
3.84
{{{pbPbetter}}}

11.1
2.16e05

Beta Poisson 
2.93 
4 
9.49
0
selection

BetaPoisson fits better than exponential; cannot reject good fit for betaPoisson. 

Optimized parameters for the betaPoisson model, from 10000 bootstrapiterations
Parameter 
MLE estimate 
Percentiles 
0.5% 
2.5% 
5% 
95% 
97.5% 
99.5% 
α 
2E01 
7.86E02 
9.79E02 
1.11E01 
4.65E01 
5.58E01 
8.66E01 
N_{50}

1.05E+01 
3.00E+00 
3.98E+00 
4.65E+00 
3.67E+01 
5.32E+01 
1.22E+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
Exposure Route:
intranasal
Optimized parameters:
a = 2.01E01
N_{50} = 9.22E+00
human/type 14 strain SF 765model data
Dose 
Infected 
Noninfected 
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 
χ^{2}_{0.95,1}
pvalue

χ^{2}_{0.95,mk}
pvalue

Exponential 
51.8 
50.2 
5 
3.84
1.42e12

11.1
5.8e10

Beta Poisson 
1.68 
4 
9.49
0.794

BetaPoisson fits better than exponential; cannot reject good fit for betaPoisson. 

Optimized parameters for the betaPoisson model, from 10000 bootstrap iterations
Parameter 
MLE estimate 
Percentiles 
0.5% 
2.5% 
5% 
95% 
97.5% 
99.5% 
α 
2.01E01 
7.76E02 
1.07E01 
1.22E01 
3.36E01 
3.69E01 
4.61E01 
N_{50}

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
Exposure Route:
intranasal
Optimized parameters:
a = 2.21E01
N_{50} = 1.81E+00
human/type 39 strain SF 299 model data
Dose 
Infected 
Noninfected 
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 
χ^{2}_{0.95,1}
pvalue

χ^{2}_{0.95,mk}
pvalue

Exponential 
50.3 
44.3 
4 
3.84
2.76e11

9.49
3.06e10

Beta Poisson 
6.01 
3 
7.81
0.111

BetaPoisson fits better than exponential; cannot reject good fit for betaPoisson. 

Optimized parameters for the betaPoisson model, from 10000 bootstrap iterations
Parameter 
MLE estimate 
Percentiles 
0.5% 
2.5% 
5% 
95% 
97.5% 
99.5% 
α 
2.24E01 
9.88E04 
1.40E01 
1.53E01 
3.71E01 
4.27E01 
7.63E01 
N_{50}

3.29E+00 
1.90E02 
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