Optimization Output for Exp. 96, 100, 166

Dose response data Dose Positive stool isolation No positive stool isolation Total 1E+06 3 1 4 1E+08 4 1 5 1E+08 5 0 5 1E+08 5 0 5 1E+10 5 0 5 1E+10 5 0 5 1E+10 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 64.1 61.4 6 3.84  4.77e-15 12.6  6.67e-12 Beta Poisson 2.71 5 11.1  0.745 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 3.75E-01 1.29E-01 1.34E-01 1.34E-01 9.97E+00 9.97E+00 1.07E+01 N50 1.78E+05 3.63E-01 3.63E-01 3.63E-01 2.46E+06 3.48E+06 6.09E+06