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On intraclass structure estimation in the growth curve model

Author

Listed:
  • Veronika Kopčová

    (Šafárik University)

  • Ivan Žežula

    (Šafárik University)

Abstract

In this paper the growth curve model, with the data correlated according to uniform structure, is considered. It represents a useful statistical model for a variety of areas. Our aim is to present various estimators of unknown variance parameters and compare their statistical properties. In the first part the review of known results for different estimators of $$\rho $$ρ and $$\sigma ^2$$σ2 and their properties is given. The aim is to compare and order these estimators based on biasedness and mean square error.

Suggested Citation

  • Veronika Kopčová & Ivan Žežula, 2020. "On intraclass structure estimation in the growth curve model," Statistical Papers, Springer, vol. 61(3), pages 1085-1106, June.
    • Handle: RePEc:spr:stpapr:v:61:y:2020:i:3:d:10.1007_s00362-017-0973-x
    DOI: 10.1007/s00362-017-0973-x
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    References listed on IDEAS

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    1. Ohlson, Martin & von Rosen, Dietrich, 2010. "Explicit estimators of parameters in the Growth Curve model with linearly structured covariance matrices," Journal of Multivariate Analysis, Elsevier, vol. 101(5), pages 1284-1295, May.
    2. Hu, Jianhua & Liu, Fuxiang & Ahmed, S. Ejaz, 2012. "Estimation of parameters in the growth curve model via an outer product least squares approach for covariance," Journal of Multivariate Analysis, Elsevier, vol. 108(C), pages 53-66.
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