If you can put up with using gam in package mgcv to fit your splines then you can get SEs on the spline derivatives as shown in the final example in the help file for plot.gam. (gam uses reduced rank smoothing splines, so you may need to up the `k' parameter for the smooth terms to ensure that the rank is not too small for your data).

On 08/06/2011 01:59 AM, Bingzhang Chen wrote:
 Dear all,

 I want to use smooth.spline to construct a cubic smoothing spline and its first
 derivative to my data. However, the predict.smooth.spline does not seem to
 provide a SE for both the fitted values and their derivatives. How should I
 calculate it?


 Thank you very much,
 Bingzhang


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