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Biometrika 1985 72(1):23-29; doi:10.1093/biomet/72.1.23
© 1985 by Biometrika Trust
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Residuals in nonlinear regression

R. D. COOK and CHIH-LING TSAI

Department of Applied Statistics, University of Minnesota St Paul, Minnesota 55108, U.S.A.
Department of Applied Statistics and Operations Research, New York University New York, New York 10006, U.S.A.

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.

Key Words: Diagnostic • Intrinsic curvature array • Projected residual


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