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Applied Longitudinal Data AnalysisModeling Change and Event Occurrence$
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Judith D. Singer and John B. Willett

Print publication date: 2003

Print ISBN-13: 9780195152968

Published to Oxford Scholarship Online: September 2009

DOI: 10.1093/acprof:oso/9780195152968.001.0001

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Examining the Multilevel Model’s Error Covariance Structure

Examining the Multilevel Model’s Error Covariance Structure

Chapter:
(p.243) 7 Examining the Multilevel Model’s Error Covariance Structure
Source:
Applied Longitudinal Data Analysis
Author(s):

Judith D. Singer

John B. Willett

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780195152968.003.0007

The previous chapters emphasized the fixed effects in the multilevel model for change. This chapter, in contrast, focuses on the model's random effects as embodied in its error covariance structure. Section 7.1 begins by reviewing the “standard” multilevel model for change, expressed in composite form. Section 7.2 examines this model's random effects, demonstrating that the composite error term is indeed both heteroscedastic and autocorrelated, as preferred for longitudinal data. Section 7.3 compares several alternative error covariance structures and provide strategies for choosing among them.

Keywords:   multilevel model, individual change, composite model, error covariance matrix

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