February 2007
Beginner to intermediate
464 pages
16h
English
book
Pharmaceutical Statistics Using SAS
by Ph. D. Alex Dmitrienko, Ph. D. Christy Chuang-Stein, Sr. Ralph B. D'Agostino
Content preview from Pharmaceutical Statistics Using SAS
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7.4. Regression Models with Unknown Parameters in the Variance Function
In various pharmaceutical applications it is often assumed that the variance of the error term, σ2, depends not only on the control variable x, but also on the unknown parameter θ, i.e., σi2 = S(xi,θ).
Consider, for instance, the four-parameter logistic model introduced in Section 7.2. The variance of the response variable, Y, may depend on its mean, as in the following power model (Finney, 1976; Karpinski, 1990; Hedayat et al, 1997):
In cell-based assay studies, the response variable is a cell count and is often assumed to follow a Poisson distribution. Under this assumption, ...
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