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Local Conditional Influence

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  • Wai-Yin Poon
  • Yat Sun Poon

Abstract

Through an investigation of normal curvature functions for influence graphs of a family of perturbed models, we develop the concept of local conditional influence. This concept can be used to study masking and boosting effects in local influence. We identify the situation under which the influence graph of the unperturbed model contains all the information on these effects. The linear regression model is used for illustration and it is shown that the concept developed is consistent with Lawrance's (1995) approach of conditional influence in Cook's distance.

Suggested Citation

  • Wai-Yin Poon & Yat Sun Poon, 2007. "Local Conditional Influence," Journal of Applied Statistics, Taylor & Francis Journals, vol. 34(8), pages 997-1009.
    • Handle: RePEc:taf:japsta:v:34:y:2007:i:8:p:997-1009
    DOI: 10.1080/02664760600744371
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    References listed on IDEAS

    as
    1. 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.
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