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Local influence analysis in the growth curve model with Rao's simple covariance structure

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  • Jian-Xin Pan
  • Peng Bai

Abstract

In this paper we discuss the likelihood-based local influence in a growth curve model with Rao's simple covariance structure. Under an abstract perturbation, the Hessian matrix is provided in which the eigenvector corresponding to the maximum absolute eigenvalue is used to assess the influence of observations. Specifically, we employ covariance-weighted perturbation to demonstrate the use of the proposed approach. A practical example is analysed using the proposed local influence approach.

Suggested Citation

  • Jian-Xin Pan & Peng Bai, 2003. "Local influence analysis in the growth curve model with Rao's simple covariance structure," Journal of Applied Statistics, Taylor & Francis Journals, vol. 30(7), pages 771-781.
  • Handle: RePEc:taf:japsta:v:30:y:2003:i:7:p:771-781
    DOI: 10.1080/0266476032000076047
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    Cited by:

    1. Osorio, Felipe & Paula, Gilberto A. & Galea, Manuel, 2007. "Assessment of local influence in elliptical linear models with longitudinal structure," Computational Statistics & Data Analysis, Elsevier, vol. 51(9), pages 4354-4368, May.
    2. Vasconcellos, Klaus L.P. & Zea Fernandez, L.M., 2009. "Influence analysis with homogeneous linear restrictions," Computational Statistics & Data Analysis, Elsevier, vol. 53(11), pages 3787-3794, September.

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