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Biometrika Advance Access originally published online on January 31, 2008
Biometrika 2008 95(1):63-74; doi:10.1093/biomet/asm087
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© 2008 Biometrika Trust

Articles

Shared parameter models under random effects misspecification

Dimitris Rizopoulos and Geert Verbeke

Biostatistical Centre, Catholic University of Leuven, Kapucijnenvoer 35, B–3000 Leuven, Belgium dimitris.rizopoulos{at}med.kuleuven.be geert.verbeke{at}med.kuleuven.be

Geert Molenberghs

Center for Statistics, Hasselt University, Agoralaan 1, B–3590 Diepenbeek, Belgium geert.molenberghs{at}uhasselt.be

Received for publication 1 June 2006. Revision received 1 June 2007.
  Abstract

A common objective in longitudinal studies is the investigation of the association structure between a longitudinal response process and the time to an event of interest. An attractive paradigm for the joint modelling of longitudinal and survival processes is the shared parameter framework, where a set of random effects is assumed to induce their interdependence. In this work, we propose an alternative parameterization for shared parameter models and investigate the effect of misspecifying the random effects distribution in the parameter estimates and their standard errors.

Key Words: Copula function • Dropout • Joint modelling • Sandwich variance estimator


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