An equality test across nonparametric regressions

نویسنده

  • Pascal Lavergne
چکیده

A procedure for testing equality across nonparametric regressions is proposed The proce dure allows for any dimension of the explanatory variables and for any number of subsamples We consider the case of random explanatory variables and allow the designs of the regressors and the number of observations to di er across subsamples The division into subsamples is de ned through a variable C which can be either xed or random In the case of a random C our procedure is a general test of signi cance for qualitative variables in a nonparametric regression In the case of a xed C our procedure provides a nonparametric analysis of covariance In both case the test is a one sided normal test and is consistent against all alternatives We study its small sample behavior through Monte Carlo simulations

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تاریخ انتشار 2006