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Local Influence Analysis in AB–BA Crossover Designs

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  • Chengcheng Hao
  • Dietrich Rosen
  • Tatjana Rosen

Abstract

type="main" xml:id="sjos12090-abs-0001"> The aim of this article is to develop methodology for detecting influential observations in crossover models with random individual effects. Various case-weighted perturbations are performed. We obtain the influence of the perturbations on each parameter estimator and on their dispersion matrices. The obtained results exhibit the possibility to obtain closed-form expressions of the influence using the residuals in mixed linear models. Some graphical tools are also presented.

Suggested Citation

  • Chengcheng Hao & Dietrich Rosen & Tatjana Rosen, 2014. "Local Influence Analysis in AB–BA Crossover Designs," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 41(4), pages 1153-1166, December.
    • Handle: RePEc:bla:scjsta:v:41:y:2014:i:4:p:1153-1166
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    File URL: http://hdl.handle.net/10.1111/sjos.12090
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    References listed on IDEAS

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    1. Hongtu Zhu, 2004. "A diagnostic procedure based on local influence," Biometrika, Biometrika Trust, vol. 91(3), pages 579-589, September.
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    3. John Haslett & Dominic Dillane, 2004. "Application of ‘delete = replace’ to deletion diagnostics for variance component estimation in the linear mixed model," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 66(1), pages 131-143, February.
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