Abstract #300638


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JSM 2002 Abstract #300638
Activity Number: 365
Type: Invited
Date/Time: Wednesday, August 14, 2002 : 4:00 PM to 5:50 PM
Sponsor: ASA
Abstract - #300638
Title: Variability is Not Always a Nuisance Parameter
Author(s): Raymond Carroll*+
Affiliation(s): Texas A&M University
Address: 447 Blocker Building, College Station, Texas, 77843-3143, USA
Keywords:
Abstract:

In classical problems, e.g., comparing two populations, fitting a regression surface, etc., variability is a nuisance parameter. The term "nuisance parameter" is meant here in both the technical and the practical sense. In my career, however, I have encountered many problems where understanding the structure of variability is just as central as understanding the mean structure. I will review a few of these problems, among which are the following list: a.) determining the validity of an immunoassay; b.) managing the Atlantic menhaden fishery; c.) understanding whether food frequency questionnaires have ability to detect meaningful fat intake/breast cancer relationships; and d.) radiation dose-response in the presence of dose uncertainty. In these and other problems, treating variance structure as a nuisance. instead of a central part of the modeling effort, not only leads to inefficient estimation of means, but also to misleading conclusions.


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