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Estimation for parameters of interest in random effects growth curve models

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  • Ip, Wai-Cheung
  • Wu, Mi-Xia
  • Wang, Song-Gui
  • Wong, Heung
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    Abstract

    In this paper, we consider the general growth curve model with multivariate random effects covariance structure and provide a new simple estimator for the parameters of interest. This estimator is not only convenient for testing the hypothesis on the corresponding parameters, but also has higher efficiency than the least-square estimator and the improved two-stage estimator obtained by Rao under certain conditions. Moreover, we obtain the necessary and sufficient condition for the new estimator to be identical to the best linear unbiased estimator. Examples of its application are given.

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    Bibliographic Info

    Article provided by Elsevier in its journal Journal of Multivariate Analysis.

    Volume (Year): 98 (2007)
    Issue (Month): 2 (February)
    Pages: 317-327

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    Handle: RePEc:eee:jmvana:v:98:y:2007:i:2:p:317-327

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    Related research

    Keywords: Growth curve models Random-effects Exact test Best linear unbiased estimator Maximum likelihood estimator;

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    1. Tapio Nummi, 1997. "Estimation in a random effects growth curve model," Journal of Applied Statistics, Taylor & Francis Journals, Taylor & Francis Journals, vol. 24(2), pages 157-168.
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