Pooled dose response data [1]
Dose |
Infected |
Non-infected |
Total |
63095.73 |
0 |
15 |
15 |
1E+05 |
2 |
10 |
12 |
630957.3 |
4 |
7 |
11 |
1E+06 |
8 |
5 |
13 |
6309573 |
19 |
3 |
22 |
1E+07 |
16 |
3 |
19 |
31622777 |
16 |
4 |
20 |
63095734 |
24 |
1 |
25 |
1E+08 |
19 |
0 |
19 |
|
Goodness of fit and model selection
Model |
Deviance |
Δ |
Degrees
of freedom |
χ20.95,1
p-value
|
χ20.95,m-k
p-value
|
Exponential |
64 |
55.4 |
8 |
3.84
9.68e-14
|
15.5
7.63e-11
|
Beta Poisson |
8.56 |
7 |
14.1
0.285
|
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 |
5.81E-01 |
3.61E-01 |
3.98E-01 |
4.24E-01 |
9.15E-01 |
1.02E+00 |
1.36E+00 |
N50
|
9.45E+05 |
4.38E+05 |
5.28E+05 |
5.72E+05 |
1.62E+06 |
1.79E+06 |
2.23E+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