7.2. Quantal Dose-Response Models
Quantal, or binary, models arise in various pharmaceutical applications, such as clinical trials with a binary outcome, toxicology studies and quantal bioassays.
7.2.1. General Model
In a quantal model, a binary response variable Y depends on the dose x,
and the probability of observing a response is modeled as
where 0 ≤ η(x,θ) ≤ 1 is a given function and θ is a vector of m unknown parameters. It is often assumed that
where z is a linear combination of pre-defined functions of the dose x, i.e.,
In many ...
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