JSM 2004 - Toronto

Abstract #300049

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Activity Number: 143
Type: Invited
Date/Time: Monday, August 9, 2004 : 2:00 PM to 3:50 PM
Sponsor: International Chinese Statistical Association
Abstract - #300049
Title: Nonparametric Analysis of Multisample Longitudinal Data Based on Time-Varying Generalized Odds Ratios
Author(s): Colin O. Wu*+ and Jianhua Z. Huang and Lan Zhou
Companies: National Heart, Lung, and Blood Institute and University of Pennsylvania and University of Pennsylvania
Address: 2 Rockledge Center, Room 8218, Bethesda, MD, 20892,
Keywords: Basis approximations ; B-splines ; generalized odds ratios ; longitudinal observations ; nonparametric regression ; time-varying models
Abstract:

We propose a basis expansion approach for nonparametric estimation of the time-varying generalized odds ratios with multisample longitudinal observations. This approach provides a natural means for charactering the treatment effects and time trends of the conditional distributions of the longitudinal outcomes. When the outcomes have highly skewed distributions, ordinal scales or mixed distributions, our models enjoy the advantages in interpretability and robustness over the conditional mean-based basis approximation approaches. Our main results include a two-step B-spline smoothing estimator for the odds ratios, and its large sample and practical properties.

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