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Activity Number: 371
Type: Contributed
Date/Time: Tuesday, August 4, 2009 : 2:00 PM to 3:50 PM
Sponsor: Biometrics Section
Abstract - #304495
Title: A B-Spline--Based Semiparametric Nonlinear Mixed Effects Model
Author(s): Angelo Elmi*+ and Sarah Ratcliffe and Wensheng Guo and Samuel Parry
Companies: University of Pennsylvania and University of Pennsylvania and University of Pennsylvania and University of Pennsylvania
Address: 423 Guardian Drive, Philadelphia, PA, 19104,
Keywords: Smoothing ; Adaptive Gaussian Quadrature ; Curve Registration ; Mixed Effects Models
Abstract:

Semiparametric nonlinear mixed effects models are used to model longitudinal data via an a-priori unspecified common shape function estimated from the data. I will present a new method for fitting this model, with a B-spline basis expansion used to estimate the common shape function. Existing approaches which use smoothing splines result in model parameters being estimated via a backfitting approach that iterates between two mixed effects models. Instead, our method allows for a unified likelihood requiring only one mixed effects model for estimation which guarantees convergence and allows for valid likelihood-based inferences and model selection as well as more accurate numerical integration based on Adaptive Gaussian Quadrature. The model is applied to a Women's Health data set to compare between the average labor curves of cases of uterine rupture to healthy controls.


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