Pharmaceutical Statistics Using SAS

7.3. Nonlinear Regression Models with a Continuous Response

In this section we first formulate the optimal design problem for general nonlinear regression models and then consider a popular dose-response model with a continuous response variable (four-parameter logistic, or E_max, model).

7.3.1. General Nonlinear Regression Model

Consider a general nonlinear regression model that is used in the analysis of concentration- or dose-response curves in a large number of clinical and pre-clinical studies. The model describes the relationship between a continuous response variable, Y, and design variable x (dose or concentration level):

Here y_ij's ...