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Activity Number: 70
Type: Contributed
Date/Time: Sunday, August 3, 2014 : 4:00 PM to 5:50 PM
Sponsor: Biometrics Section
Abstract #312291
Title: Degradation Data Analysis Using Nonlinear Mixed-Effects Models and Shape-Restricted Splines
Author(s): Zhibing Xu*+
Companies: Virginia Tech
Keywords: Degradation Data ; Nonlinear ; Shape-restricted Splines ; Random Effects
Abstract:

Comparing to the traditional life time data, degradation data not only can provide enough information in a short time, but also give a better estimation and prediction of the life time of the highly reliable products. With the improvement of technology, life-affecting environmental variables are recorded as well as the degradation measure over time. For example, the large amount of ultraviolet exposure will accelerate the degradation of the polymer coating. Thus, it is important to incorporate the environmental variables, also called dynamic covariates, into the degradation path model. Existing research suggests a linear mixed-effects model with splines to incorporate the dynamic covariates. However, the linear model may not widely used in practice, especially in the pharmacokinetic research. In this paper, we propose a nonlinear mixed-effects model incorporating with dynamic covariates to model the degradation data. Shape restricted splines are used in the proposed model and a modified alternating algorithm is developed. The performance of the algorithm is evaluated by simulations. An outdoor weathering dataset is used for illustration of the proposed method.


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