Leverage and superleverage in nonlinear regression

Roy T. St Laurent, R. Dennis Cook

Research output: Contribution to journalArticle

31 Scopus citations

Abstract

Several measures of the leverage of an observation in a nonlinear regression model are defined and developed. In contrast to the upper bound on the leverage in a linear model, it is found that in a nonlinear model the leverage of an observation may exceed 1. Such a case is said to exhibit superleverage. Relationships between the leverage measures are explored, and several examples are developed to illustrate the proposed methodology.

Original languageEnglish (US)
Pages (from-to)985-990
Number of pages6
JournalJournal of the American Statistical Association
Volume87
Issue number420
DOIs
StatePublished - Dec 1992
Externally publishedYes

Keywords

  • Diagnostic
  • Influential observation
  • Prediction

ASJC Scopus subject areas

  • Statistics and Probability
  • Statistics, Probability and Uncertainty

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