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G-2008-57

Mixed-Effects Regression Trees for Clustered Data

, , and

BibTeX reference

Tree based methods have not yet been adapted to handle mixed effects. Previous works extending them to accommodate correlated data are based on the multivariate repeated-measures approach and not on the mixed effects approach. We propose a ``mixed effects regression tree" method which is more flexible in terms of data requirements because the observations are viewed as nested within clusters rather than as multivariate vectors. The new method can handle unbalanced clusters, allows clusters to be splitted and can incorporate random effects. This new tree method is implemented using a standard tree algorithm within the framework of the expectation-maximization (EM) algorithm. Simulation results show that the new method can provide substantial improvements over standard trees and a real data example illustrates its application.

, 23 pages

This cahier was revised in December 2008

Research Axis

Publication

Mixed effects regression trees for clustered data
, , and
Statistics and Probability Letters, 81, 451–459, 2011 BibTeX reference