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I am interested in learning (and implementing) an alternative to polynomial interpolation.

However, I am having trouble finding a good description of how these methods work, how they relate, and how they compare.

I would appreciate your input on the pros/cons/conditions under which these methods or alternatives would be useful, but some good references to texts, slides, or podcasts would be sufficient.

note: I asked this question on stats.SE a few weeks ago and received the recommendation to ask here since I have not received an answer.

Thanks!

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    I'm not being mathematically rigorous here, so I left that as a comment instead. If indeed you'll be showing both the data points and the smoothed spline, then that's okay; as I said, the smoothing spline is useful for displaying trend(s), but please please do **not** use the smoothed spline to derive anything of statistical significance from your data! As for GPEs, I've not used them in my line of work so I can't really say anything $ab$out them.2010-12-14

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