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Activity Number: 380
Type: Contributed
Date/Time: Wednesday, August 9, 2006 : 8:30 AM to 10:20 AM
Sponsor: ENAR
Abstract - #306178
Title: Optimal Estimators from Generalized Estimating Equations (GEE) for Longitudinal Data
Author(s): Ioana Schiopu-Kratina*+ and Raluca M. Balan
Companies: Statistics Canada and University of Ottawa
Address: 120 Parkdale Ave., Ottawa, ON, K1A0T6, Canada
Keywords: generalized estimating equations ; longitudinal studies ; asymptotic efficiency
Abstract:

Liang and Zeger (LZ) (1986) used marginal models with longitudinal data to implicitly express a response variable in terms of covariates and a main regression parameter. Estimators of this parameter obtained as solutions of GEEs were studied by LZ, J.N.K Rao(1998), Schiopu-Kratina (SK)( 2003), Xie and Yang (2003), Balan and Schiopu-Kratina (BSK) (2005). Asymptotically and in the context of Heyde 1997, a sequence of estimators corresponding to asymptotically efficient EEs are optimal in that the limiting confidence interval they define is minimal. This is a continuation of the work in BSK (The Annals of Statistics 2005, 33, 522-541). We show that the slightly modified estimators in SK and BSK are optimal and simplify the conditions in BSK.

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