Leverage, local influence and curvature in nonlinear regression

Roy T.St Laurent, R. Dennis Cook

Research output: Contribution to journalArticle

51 Scopus citations

Abstract

SUMMARY: The connections between measures of leverage, statistical curvature, and the local influence of a mean-shift perturbation are explored in nonlinear regression models. The circumstances under which the Jacobian leverage reduces to a commonly-used linear approximation are found to be connected to the effective residual curvature of the nonlinear model. The local influence of a mean-shift perturbation in the model function is seen to be closely related to the Jacobian leverage.

Original languageEnglish (US)
Pages (from-to)99-106
Number of pages8
JournalBiometrika
Volume80
Issue number1
DOIs
StatePublished - Mar 1 1993
Externally publishedYes

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Keywords

  • Diagnostics
  • Influential observation
  • Jacobian leverage
  • Mean-shift perturbation

ASJC Scopus subject areas

  • Statistics and Probability
  • Mathematics(all)
  • Agricultural and Biological Sciences (miscellaneous)
  • Agricultural and Biological Sciences(all)
  • Statistics, Probability and Uncertainty
  • Applied Mathematics

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