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Biometrika 1991 78(2):245-252; doi:10.1093/biomet/78.2.245
© 1991 by Biometrika Trust
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Model checking with nonparametric curves

D. FIRTH1, J. GLOSUP2 and D. V. HINKLEY3

1Department of Mathematics, University of Southampton SO9 5NH, U.K.
2Department of Mathematics, University of Texas Austin, Texas 78712, U.S.A.
3Department of Statistics, University of Oxford Oxford OX1 3TG, U.K.

The use of local likelihood curve estimates in model checking is described. Test statistics are based on deviance differences, and are interpreted using nonparametric bootstrap Monte Carlo. Some theoretical aspects are discussed. Methods are illustrated for regression with discrete data.

Key Words: Bootstrap • Cross-validation • Eigenvalue • Goodness of fit • Linear model • Negative binomial • Poisson • Regression • Residual


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