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Local influence in estimating equations

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  • Venezuela, Maria Kelly
  • Sandoval, Mônica Carneiro
  • Botter, Denise Aparecida
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    Abstract

    Local influence diagnostics based on estimating equations as the role of a gradient vector derived from any fit function are developed for repeated measures regression analysis. Our proposal generalizes tools used in other studies ([Cook, 1986] and [Cadigan and Farrell, 2002]), considering herein local influence diagnostics for a statistical model where estimation involves an estimating equation in which all observations are not necessarily independent of each other. Moreover, the measures of local influence are illustrated with some simulated data sets to assess influential observations. Applications using real data are presented.

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    File URL: http://www.sciencedirect.com/science/article/B6V8V-51BNWN5-1/2/d45489642311b7f63ee8ae9a95e898e7
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    Bibliographic Info

    Article provided by Elsevier in its journal Computational Statistics & Data Analysis.

    Volume (Year): 55 (2011)
    Issue (Month): 4 (April)
    Pages: 1867-1883

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    Handle: RePEc:eee:csdana:v:55:y:2011:i:4:p:1867-1883

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    Web page: http://www.elsevier.com/locate/csda

    Related research

    Keywords: Diagnostic techniques Local influence Generalized estimating equations Repeated measures Longitudinal data;

    References

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    1. You-Gan Wang, 2003. "Working correlation structure misspecification, estimation and covariate design: Implications for generalised estimating equations performance," Biometrika, Biometrika Trust, vol. 90(1), pages 29-41, March.
    2. Rinaldo Artes, 2000. "Longitudinal Data Estimating Equations for Dispersion Models," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics & Finnish Statistical Society & Norwegian Statistical Association & Swedish Statistical Association, vol. 27(2), pages 321-334.
    3. N. G. Cadigan & P. J. Farrell, 2002. "Generalized local influence with applications to fish stock cohort analysis," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 51(4), pages 469-483.
    4. W.-Y. Poon & Y. S. Poon, 1999. "Conformal normal curvature and assessment of local influence," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 61(1), pages 51-61.
    5. Hongtu Zhu & Joseph G. Ibrahim & Niansheng Tang & Heping Zhang, 2008. "Diagnostic measures for empirical likelihood of general estimating equations," Biometrika, Biometrika Trust, vol. 95(2), pages 489-507.
    6. 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.
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