Residuals in nonlinear regression

R. D. Cook; Chih Ling Tsai

doi:10.1093/biomet/72.1.23

Residuals in nonlinear regression

R. D. Cook, Chih Ling Tsai

Statistics (Twin Cities)

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

31 Scopus citations

Abstract

We employ a quadratic expansion to investigate the behaviour of the ordinary residuals in nonlinear regression. These residuals can produce misleading results when used in diagnostic methods analogous to those for linear regression. We suggest a new type of residual that overcomes many of the potential shortcomings of the ordinary residuals.

Original language	English (US)
Pages (from-to)	23-29
Number of pages	7
Journal	Biometrika
Volume	72
Issue number	1
DOIs	https://doi.org/10.1093/biomet/72.1.23
State	Published - Apr 1 1985

Keywords

Diagnostic
Intrinsic curvature array
Projected residual

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10.1093/biomet/72.1.23

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title = "Residuals in nonlinear regression",

abstract = "We employ a quadratic expansion to investigate the behaviour of the ordinary residuals in nonlinear regression. These residuals can produce misleading results when used in diagnostic methods analogous to those for linear regression. We suggest a new type of residual that overcomes many of the potential shortcomings of the ordinary residuals.",

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author = "Cook, {R. D.} and Tsai, {Chih Ling}",

year = "1985",

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AU - Tsai, Chih Ling

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KW - Diagnostic

KW - Intrinsic curvature array

KW - Projected residual

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SP - 23

EP - 29

JO - Biometrika

JF - Biometrika

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Residuals in nonlinear regression

Abstract

Keywords

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