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\footnotesize
\noindent Statistica Sinica {\bf 13}(2003), 763-781

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\centerline{\large\bf CHECKING THE ADEQUACY OF A PARTIAL}
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\centerline{\large\bf LINEAR MODEL}
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\author{Li-Xing Zhu and Kai W. Ng}
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\centerline{\it Chinese Academy of Sciences and The University of Hong Kong}
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\begin{quotation}
\noindent {\it Abstract:}
A partial linear model is a model where the response variable
depends on some covariates
linearly and on  others nonparametrically.
In this article, we construct an empirical process-based test for
examining the adequacy of partial linearity of model. A
re-sampling  approach, called random symmetrization (RS), is
applied to obtain the   approximation to
the null distribution of the test.  The procedure is  easy to
implement. A simulation study is carried out and  application
to an example is made.\par
\vspace{9pt}
\noindent {\it Key words and phrases:}
Conditional distribution, empirical process,
partially linear model, re-sampling. \par
\end{quotation}
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