Are binomial GLMs better than nonlinear regression for model-fitting, and predicting ED50s and other effective dose point intercepts?
In toxicology it is typical to run an experiment with a concentration-response design. For example, various concentrations of a toxicant as the independent variable and the response (perhaps survivorship) as the dependent variable. To model the response, often nonlinear regression (such as a four-parameter logistic curve), or a binomial GLM is used. EC values (also called LD, IC, ED) can easily be extracted from any of these models, but my question is if one model produces a more reliable fit for predicting EC values. My experience with GLMs is that they sometimes don't uphold the S-shape well.