JSM 2011 Online Program

The views expressed here are those of the individual authors and not necessarily those of the JSM sponsors, their officers, or their staff.

Abstract Details

Activity Number: 656
Type: Contributed
Date/Time: Thursday, August 4, 2011 : 10:30 AM to 12:20 PM
Sponsor: Biometrics Section
Abstract - #301171
Title: A Single Index Modeling for Longitudinal Data with an Application to a Blood Pressure Study
Author(s): Jingwei Wu*+ and Wanzhu Tu
Companies: Indiana University and Indiana University
Address: Division of Biostatistics, School of Medicine, Indianapolis, IN, 46202-3002,
Keywords: Single index model ; Cubic-spline ; Penalized nonlinear least square

Single index models are primarily used for dimension reduction while preserving the latent features of independent variables. In longitudinal studies, the construction and implementation of single index models are complicated by correlations that exist among repeatedly measured outcome and independent variables within a study subject. Model fitting remains a challenge as it has not been successfully incorporated to standard statistical software. In this presentation, we extend the partially linear single index mixed effect models (PLSIMEM) to a longitudinal data setting. Herein, we use a penalized spline (cubic-spline) with flexible knot selection to model the behavior of the single index component. P-splines are then fit directly by penalizing nonlinear least squares and can be implemented with existing software. To illustrate, we present a real data application that examines the independent and concurrent contributions of height and weight to blood pressure development in children. Monte Carlo simulations are used to examine the operating characteristics of the proposed procedure.

The address information is for the authors that have a + after their name.
Authors who are presenting talks have a * after their name.

Back to the full JSM 2011 program

2011 JSM Online Program Home

For information, contact jsm@amstat.org or phone (888) 231-3473.

If you have questions about the Continuing Education program, please contact the Education Department.