SFB 303 Discussion Paper No. A - 195
Author: Azzalini, A., A. W. Bowman, and W. Härdle
Title: On the Use of Nonparametric Regression for Model Checking
Abstract: The use of nonparametric regression is explored in the context of checking the fit of a parametric
regression model. The principal aim is to check the validity of the regression curve rather than necessarily to
detect outliers. A pseudo likelihood ratio test is developed to provide a global assessment of fit and simulation
bands are used to indicate the nature of departures from the model. The types of data considered include discrete
response variables, where standard diagnostic techniques are often not appropriate, and first order autoregressive
series. Several numerical examples are given.
Keywords: binary data, nonparametric regression, residuals, outliers, resistant methods, bootstrap, logistic regression,
Poisson, autoregressive time series
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