Re: [Ifeffit] number of independent points
Of course. I do agree with both Jeremy and Bruce.
-Matt
On Oct 10, 2011 10:07 AM, "Bruce Ravel"
On Monday, October 10, 2011 10:48:25 am Kropf, Arthur Jeremy wrote:
Perhaps there is a more subtle analysis of the data range, but I doubt it, since Matt is on record as suggesting that people not place too much emphasis on the exact value of N-idp, if I recall correctly. You can scale your chi-square, reduced chi-square, and errors using whatever value of N-idp you prefer.
The papers by Rossner and Krappe (for instance, http://dx.doi.org/10.1103/PhysRevB.66.184303) use a Bayesian approach to evaluate the actual information content in an EXAFS signal. Unsurprisingly, the Bayesian analysis finds something we should already know -- the EXAFS signal is not an ideally packed sum of sine waves. Consequently, the actual information content is rather less than the Nyquist criterion.
That is the context of the suggestion not to place to much emphasis on the Nyquist number. (Since Jeremy invoked Matt, I should say that I suspect that Matt would more or less agree with what I am saying here.) It gives us a number to work with in evaluating the statistics in Ifeffit. The interpretation of Ifeffit's statistical analysis (which is a simple Gaussian analysis for a problem that is ill-posed in the Guassian sense) has been a frequent topic of conversation on this mailinglist over the years. It is also a topic in this talk that I sometimes give: https://github.com/bruceravel/XAS- Education/downloads/atea.pdf
All that said, the question of the formula used and the value reported in Artemis is a valid one. I don't recall off the top of my head, but I will look at the codes.
B
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Bruce Ravel ------------------------------------ bravel@bnl.gov
National Institute of Standards and Technology Synchrotron Methods Group at NSLS --- Beamlines U7A, X24A, X23A2 Building 535A Upton NY, 11973
My homepage: http://xafs.org/BruceRavel EXAFS software: http://cars9.uchicago.edu/ifeffit/Demeter _______________________________________________ Ifeffit mailing list Ifeffit@millenia.cars.aps.anl.gov http://millenia.cars.aps.anl.gov/mailman/listinfo/ifeffit
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Matt Newville