Abstract #301117

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JSM 2003 Abstract #301117
Activity Number: 211
Type: Contributed
Date/Time: Tuesday, August 5, 2003 : 8:30 AM to 10:20 AM
Sponsor: Biopharmaceutical Section
Abstract - #301117
Title: Estimating Pharmaceutical Conditions Under Which a Mean is Large
Author(s): Jennifer L. S. Gauvin*+ and Roger L. Berger
Companies: North Carolina State University & Roche Palo Alto and North Carolina State University & NSF
Address: 3431 Hillview Ave. S1-101, Palo Alto, CA, 94304,
Keywords: intersection-union principle ; Bonferroni's inequality ; stepwise hypothesis testing ; threshold ; confidence set
Abstract:

In some studies, researchers seek to identify conditions under which a mean response exceeds a specified threshold. We consider the case in which such conditions are defined in terms of two quantitative independent variables. For example, a pharmaceutical researcher might want to identify what values of dose and postdose time yield an average blood concentration above a certain threshold. We will describe a new method of specifying a rectangular set of (dose, time) values for which the researcher can assert that the mean response exceeds the threshold. By using intersection-union tests applied in a stepwise fashion, the method maintains a specified high probability that the rectangular set contains no (dose, time) values for which the mean response is lower than the threshold. The method does not require independent observations at different (dose, time) values. For example, correlated observations might consist of concentrations measured on a subject at different points in time.

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