Bulletin of the Computational Statistics of Japan
Online ISSN : 2189-9789
Print ISSN : 0914-8930
ISSN-L : 0914-8930
SEARCH OF INTERACTIONS STRUCTURE FOR LURKING IN LONGITUDINAL DATA : THE INFERENCE BY TREE-STRUCTURED APPROACH
Kimitoshi IkedaTomoyuki SugimotoMasashi Goto
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2005 Volume 17 Issue 2 Pages 127-146

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Abstract

The conventional methods for analysis of longitudinal data are not flexible enough for exploring the nonlinear underlying data structures. But interactions among time and other covariates exist in many longitudinal data, the way of evaluation of the interactions will show the superiority or inferiority of the analysis methods. Furthermore, time trend of observations has nonlinear structure in many cases, describing this structure is connected with describing the mean structure of observations correctly. In this paper, as a convenient method to explore the nonlinear structure and, especially, interactions structure in longitudinal data, we focus on Multivariate Adaptive Regression Splines (MARS). And we present MARS for analysis of longitudinal data (L-MARS), and we demonstrate the methodology. Moreover, we evaluate the trial performance through case examination and the simulation.

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© 2005 Japanese Society of Computational Statistics
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