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Psychol Methods. 2015 Mar;20(1):63-83. doi: 10.1037/met0000030.

On disaggregating between-person and within-person effects with longitudinal data using multilevel models.

Author information

1
Department of Psychology, University of Notre Dame.

Abstract

This article extends current discussion of how to disaggregate between-person and within-person effects with longitudinal data using multilevel models. Our main focus is on the 2 issues of centering and detrending. Conceptual and analytical work demonstrates the similarities and differences among 3 centering approaches (no centering, grand-mean centering, and person-mean centering) and the relations and differences among various detrending approaches (no detrending, detrending X only, detrending Y only, and detrending both X and Y). Two real data analysis examples in psychology are provided to illustrate the differences in the results of using different centering and detrending methods for the disaggregation of between- and within-person effects. Simulation studies were conducted to further compare the various centering and detrending approaches under a wider span of conditions. Recommendations of how to perform centering, whether detrending is needed or not, and how to perform detrending if needed are made and discussed.

PMID:
25822206
DOI:
10.1037/met0000030
[Indexed for MEDLINE]

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