Paper Title:
Fitting Growth Model Using Nonlinear Regression with Random Parameters
  Abstract

Mixed Effect models are flexible models to analyze grouped data including longitudinal data, repeated measures data, and multivariate multilevel data. One of the most common applications is nonlinear growth data. The Chapman-Richards model was fitted using nonlinear mixed-effects modeling approach. Nonlinear mixed-effects models involve both fixed effects and random effects. The process of model building for nonlinear mixed-effects models is to determine which parameters should be random effects and which should be purely fixed effects, as well as procedures for determining random effects variance-covariance matrices (e.g. diagonal matrices) to reduce the number of the parameters in the model. Information criterion statistics (AIC, BIC and Likelihood ratio test) are used for comparing different structures of the random effects components. These methods are illustrated using the nonlinear mixed-effects methods in S-Plus software.

  Info
Periodical
Key Engineering Materials (Volumes 480-481)
Edited by
Yanwen Wu
Pages
1308-1312
DOI
10.4028/www.scientific.net/KEM.480-481.1308
Citation
Y. X. Li, L. C. Jiang, "Fitting Growth Model Using Nonlinear Regression with Random Parameters", Key Engineering Materials, Vols. 480-481, pp. 1308-1312, 2011
Online since
June 2011
Export
Price
$32.00
Share

In order to see related information, you need to Login.

In order to see related information, you need to Login.

Authors: Yao Xiang Li, Li Chun Jiang
Materials Physics
Abstract:Microfibril angle (MFA) was determined at each growth ring from disks at breast height (1.3 m) from four scots pine (Pinus sylvestris)...
1997
Authors: Yao Xiang Li, Li Chun Jiang
Abstract:Earlywood microfibril angle (MFA) was determined at each growth ring from disks at breast height (1.3 m) from 6 dahurian larch (Larix...
516
Authors: Rui Zhang, Li Chun Jiang, Feng Ri Li, Yao Xiang Li
Chapter 5: Frontiers of Environment Engineering and Materials
Abstract:In this study, the sample data was based on 2190 branch length samples of 30 trees from dahurian larch (Larix gmelinii Rupr.)...
3007
Authors: Yin Bang Liu, Li Chun Jiang
Chapter 1: Advanced Material Science and Engineering, Material Processing and Manufacturing Technology
Abstract:Wood density samples were collected from dahurian larch (Larix gmelinii Rupr.) trees grown in northeastern China. Six discs (about 5 cm...
124
Authors: Xiao Ping Li, Wei Zheng Yuan, Qiang Shen, Jian Bing Xie, Hong Long Chang
Chapter 3: Micro/Nano Research, Design and Fabrication
Abstract:This paper reports an effective design method for optimizing the geometric parameters of a micronozzle. Numerical analysis is conducted to...
734