7.6. Models with a Bounded Response (Logit Link)
The Beta regression model takes care of the bounded variable naturally (by definition). In this section we introduce an alternative way to model the dose-response trial example from Section 7.5, using the linear regression model framework. After a simple transformation, the responses are not bounded and can be treated as normally distributed variables. Furthermore, to address the relationship between variance and dose level, one can model the variance as a function of the dose.
7.6.1. One-Dimensional Case
The model with a single drug can be written as
where the variance function is defined as ...
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