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Activity Number: 521
Type: Invited
Date/Time: Thursday, August 10, 2006 : 10:30 AM to 12:20 PM
Sponsor: WNAR
Abstract - #305307
Title: Consistent Model Selection and Goodness-of-Fit Test for Marginal Regression Analysis of Longitudinal Data
Author(s): Lan Wang*+ and Annie Qu
Companies: University of Minnesota and Oregon State University
Address: 385 Ford Hall, Minneapolis, MN, 55347,
Keywords: GEE ; marginal model ; lack-of-fit ; model selection
Abstract:

An important approach to analyze longitudinal data is to model the marginal expectation and treat the correlation as a nuisance, such as the method of GEE. The validity of this approach depends on the correct specification of the marginal regression model. We proposes a BIC type procedure to select a marginal regression model from a group of candidate models. The procedure uses the quadratic inference function (QIF) recently proposed by Qu, Lindsay and Li (2000) and does not need to specify the full likelihood. We establish that with probability approaching to one the proposed procedure selects the most parsimonious correct model. Furthermore, a data-driven smooth test is constructed to check the adequacy of a proposed marginal model. Simulation results and data analysis are provided.


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