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Model Selection Criteria for Latent Growth Models Using Bayesian Methods

  • Zhenqiu (Laura) LuEmail author
  • Zhiyong Zhang
  • Allan Cohen
Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 89)

Abstract

Research in applied areas, such as statistical, psychological, behavioral, and educational areas, often involves the selection of the best available model from among a large set of candidate models. Considering that there is no well-defined model selection criterion in a Bayesian context and that latent growth mixture models are becoming popular in many areas, the goal of this study is to investigate the performance of a series of model selection criteria in the framework of latent growth mixture models with missing data and outliers in a Bayesian context. This study conducted five simulation studies to cover different cases, including latent growth curve models with missing data, latent growth curve models with missing data and outliers, growth mixture models with missing data and outliers, extended growth mixture models with missing data and outliers, and latent growth models with different classes. Simulation results show that almost all the proposed criteria can effectively identify the true models. This study also illustrated the application of these model selection criteria in real data analysis. The results will help inform the selection of growth models by researchers seeking to provide states with accurate estimates of the growth of their students.

Keywords

Growth Curve Model Model Selection Criterion Growth Mixture Model Latent Growth Curve Model Latent Growth Model 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Notes

Acknowledgments

The authors thank the reviewer Dr. Daniel Bolt for his very helpful comments and suggestions, which greatly improved the quality of this article.

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Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  • Zhenqiu (Laura) Lu
    • 1
    Email author
  • Zhiyong Zhang
    • 2
  • Allan Cohen
    • 1
  1. 1.University of GeorgiaAthensUSA
  2. 2.University of Notre DameNotre DameUSA

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