Bayesian Analysis of Longitudinal Data Using Growth-Curve Models

2007 ◽  
Author(s):  
Zhiyong Zhang ◽  
Lijuan Wang
2007 ◽  
Vol 31 (4) ◽  
pp. 374-383 ◽  
Author(s):  
Zhiyong Zhang ◽  
Fumiaki Hamagami ◽  
Lijuan Lijuan Wang ◽  
John R. Nesselroade ◽  
Kevin J. Grimm

Bayesian methods for analyzing longitudinal data in social and behavioral research are recommended for their ability to incorporate prior information in estimating simple and complex models. We first summarize the basics of Bayesian methods before presenting an empirical example in which we fit a latent basis growth curve model to achievement data from the National Longitudinal Survey of Youth. This step-by-step example illustrates how to analyze data using both noninformative and informative priors. The results show that in addition to being an alternative to the maximum likelihood estimation (MLE) method, Bayesian methods also have unique strengths, such as the systematic incorporation of prior information from previous studies. These methods are more plausible ways to analyze small sample data compared with the MLE method.


1987 ◽  
Vol 2 (4) ◽  
pp. 451-454 ◽  
Author(s):  
Nan Laird ◽  
Nick Lange

2006 ◽  
Vol 136 (2) ◽  
pp. 475-497
Author(s):  
Nils Åsenblad ◽  
Dietrich von Rosen

2011 ◽  
Vol 332-334 ◽  
pp. 1386-1389 ◽  
Author(s):  
Tao Ma ◽  
Hong Zhao

Growth-curve models are generalized multivariate analysis-of-variance models. This kind of method was widely used in the prediction of industry development cycle. The textile industry occupies an important position in the national economy of China. The paper analyzed the development trend of Chinese textile industry based on growth curve model and found out that Chinese textile industry is in the formative stage and is about to begin entered into matured period. The next five years the average annual growth rate of Chinese textile industry can reach more than 9 percent, and the textile industry output will reach 6 trillions in 2015.


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