Abstract #301629

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JSM 2002 Abstract #301629
Activity Number: 363
Type: Contributed
Date/Time: Wednesday, August 14, 2002 : 2:00 PM to 3:50 PM
Sponsor: Biometrics Section*
Abstract - #301629
Title: Analysis of Controlled Experiments in Which the Response is a Curve.
Author(s): Naomi Altman*+
Affiliation(s): Pennsylvania State University
Address: 312 Thomas Building, University Park, Pennsylvania, 16802-2111, USA
Keywords: self-modeling regression ; mixed model ; curve data ; experimental design ; semi-parametric regression ; growth curve
Abstract:

In this talk, I discuss the use of self-modeling regression to analyze experiments in which the response is a curve. Differences among treatments and covariate effects are summarized by a parametric model, while the shape of the curve is modeled nonparametrically. Tests based on linear and nonlinear mixed models are discussed along with a simulation study of the null distribution for the test statistics. An example using data on a bird growth experiment will be presented. The experiment includes fixed and random factors and a covariate. There are several response variables, each of which has a different growth curve--however, because the parametric part of the model has an interpretation which is free of the shape of the growth curves, comparisons among responses are simplified.

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Revised March 2002