Leverage and superleverage in nonlinear regression

Roy T. St Laurent; R. Dennis Cook

doi:10.1080/01621459.1992.10476253

Leverage and superleverage in nonlinear regression

Roy T. St Laurent, R. Dennis Cook

Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

38 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 language	English (US)
Pages (from-to)	985-990
Number of pages	6
Journal	Journal of the American Statistical Association
Volume	87
Issue number	420
DOIs	https://doi.org/10.1080/01621459.1992.10476253
State	Published - Dec 1992

Keywords

Diagnostic
Influential observation
Prediction

ASJC Scopus subject areas

Statistics and Probability
Statistics, Probability and Uncertainty

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10.1080/01621459.1992.10476253

Cite this

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title = "Leverage and superleverage in nonlinear regression",

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.",

keywords = "Diagnostic, Influential observation, Prediction",

author = "{St Laurent}, {Roy T.} and Cook, {R. Dennis}",

note = "Funding Information: * Roy T. St. Laurent is Assistant Professor, Department of Biostatistics, School of Public Health, University of Michigan, Ann Arbor, MI 48109-2029. R. Dennis Cook is Professor, Department of Applied Statistics,School of Statistics, University of Minnesota, St. Paul, MN 55108. This work was supported in part by NSF Grant 90-001298.",

year = "1992",

month = dec,

doi = "10.1080/01621459.1992.10476253",

language = "English (US)",

volume = "87",

pages = "985--990",

journal = "Journal of the American Statistical Association",

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T1 - Leverage and superleverage in nonlinear regression

AU - St Laurent, Roy T.

AU - Cook, R. Dennis

N1 - Funding Information: * Roy T. St. Laurent is Assistant Professor, Department of Biostatistics, School of Public Health, University of Michigan, Ann Arbor, MI 48109-2029. R. Dennis Cook is Professor, Department of Applied Statistics,School of Statistics, University of Minnesota, St. Paul, MN 55108. This work was supported in part by NSF Grant 90-001298.

PY - 1992/12

Y1 - 1992/12

N2 - 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.

AB - 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.

KW - Diagnostic

KW - Influential observation

KW - Prediction

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JO - Journal of the American Statistical Association

JF - Journal of the American Statistical Association

IS - 420

ER -

Leverage and superleverage in nonlinear regression

Abstract

Keywords

ASJC Scopus subject areas

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