I apologize, the book is indeed by Fan, and Gijbels. However, my question still
stands for the authors of -locpoly-. Whether the references listed below are
sufficient in explaining the -locpoly- algorithm ?
Concerning the statistical test, what is your opinion on testing the distance
between the distribution of the parametric "y-hat" and the distribution of the
non-parametric "conditional-y-mean" ? Such as the original Kolmogorov-Smirnov
or Anderson-Darling tests.
Quoting Nick Cox <[email protected]>:
> D.Christodoulou
>
> > Following Nick's reply on my previous posting I was not able
> > to locate the
> > reference:
> > Fan, Fan, and Gijbels, "Local Polynomial Modelling and Its
> > Applications",
> > in Monographs of Statistics and Applied Probability, Chapman
> > and Hall/CRC.
>
> The book is by Fan and Gijbels.
>
> > (2) Has anyone written something on nonparametric smoothing for
> > higher-dimensions, i.e. more than one explanatory variables ?
>
> In Stata: I don't think so.
>
> > (3) How can I statistically compare (given a confidence level) the
> > parametric fit "y-hat" with the non-parametric fit
> > "conditional-y-mean" ?
> > Has anyone written a statistical test such as the one described in
> > Hardle(1990, ch.9.3) for the qsuared deviation between the
> > two measures ?
>
> In most applications, in my experience, by far the most fruitful thing to do
>
> is to draw a graph and think about the difference and whether
> it is interesting or important. I don't know how to program that
> in terms of a portmanteau measure or a test leading to a P-value.
>
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>
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