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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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Modeling Discontinuous and Nonlinear Change

Modeling Discontinuous and Nonlinear Change

Chapter:
(p.189) 6 Modeling Discontinuous and Nonlinear Change
Source:
Applied Longitudinal Data Analysis
Author(s):

Judith D. Singer

John B. Willett

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780195152968.003.0006

This chapter introduces strategies for fitting models in which individual change is explicitly discontinuous or nonlinear. Section 6.1 begins by describing ways of incorporating abrupt discontinuities into the individual change trajectory. Section 6.2 shows how transformation of either the outcome or TIME can lead to a multilevel model for linear change based on the transformed variable(s). Section 6.3 extends this basic idea by specifying trajectories that are polynomial functions of TIME. Section 6.4 concludes by surveying several models for individual change in which the outcome is an explicit nonlinear function of the growth parameters.

Keywords:   models, nonlinear individual change, TIME, discontinuities

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