Longitudinal data analysis based on generalized linear partially varying-coefficient models

In this article, we consider a generalized linear partially varying-coefficient model for longitudinal data analysis. A local quasi-likelihood method is proposed to estimate the constant-coefficient and varying-coefficient functions simultaneously based on the local polynomial kernel regression. The...

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Bibliographic Details
Published in:Communications in statistics. Theory and methods 2017-02, Vol.46 (4), p.1983-2001
Main Authors: Rong, Yaohua, Tang, Manlai, Tian, Maozai
Format: Article
Language:English
Subjects:
Data analysis
Economic models
Estimates
Generalized estimating equations
local polynomial kernel regression
Polynomials
Regression
Samples
Standard error
Statistical methods
Statistics
varying-coefficient models
working correlation matrix
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Summary:In this article, we consider a generalized linear partially varying-coefficient model for longitudinal data analysis. A local quasi-likelihood method is proposed to estimate the constant-coefficient and varying-coefficient functions simultaneously based on the local polynomial kernel regression. The corresponding standard error estimates are derived. Large sample properties are investigated. The proposed methodologies are demonstrated by extensive simulation studies and a real example.
ISSN:0361-0926
1532-415X
DOI:10.1080/03610926.2015.1032421