XAFS spectroscopy. II. Statistical evaluations in the fitting problems
Data Analysis, Statistics and Probability
2007-05-23 v1
Abstract
The problem of error analysis is addressed in stages beginning with the case of uncorrelated parameters and proceeding to the Bayesian problem that takes into account all possible correlations when a great deal of prior information about the accessible parametr space is available. The formulas for the standard deviations and deviations with arbitrary confidence levels are derived. Underestimation of the errors of XAFS-function extraction is shown to be a source of unjustified optimistic errors of fitting parameters. The applications of statistical chi^2- and F-tests to the fitting problems are also discussed.
Cite
@article{arxiv.physics/0003087,
title = {XAFS spectroscopy. II. Statistical evaluations in the fitting problems},
author = {K. V. Klementev},
journal= {arXiv preprint arXiv:physics/0003087},
year = {2007}
}
Comments
10 pages, 4 figures, for freeware XAFS analysis program, see http://www.crosswinds.net/~klmn/viper.html