11.3. Detection of Dose-Response Trends
It is commonly agreed that the first step in analyzing dose-response trends and more complex problems related to dose-finding is the assessment of the overall effect of an experimental drug. This step is essentially a screening test to determine whether or not the drug effect exists at all.
Mathematically, the goal of the overall drug effect assessment is to test the null hypothesis of no treatment effect. For example, in the diabetes trial example, clinical researchers were interested in testing whether or not there was any drug-related improvement in the response variable as the infusion rate increased. The corresponding null hypothesis of no treatment effect is given by
where μP is the mean glucose ...
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