The Use of Least-Squares for XPS Peak Parameters Estimation: Part 2. Univariate Hypotheses Testing

Gervais Leclerc, Jean-Jacques Pireaux

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Résumé

A statistically sound formulation of variance propagation for correlated parameters is introduced. Two general purpose statistical tests (the Wald test and the likelihood ratio test) based on this formulation are then presented. It is shown how one can (a) test single or multiple hypotheses about regression parameters, (b) test the validity of constraints on the parameters, (c) decide whether one peakshape or background is better than another, and (d) determine the number of peaks required by the data.
langue originaleAnglais
Pages (de - à)165-178
Nombre de pages14
journalJournal of Electron Spectroscopy and Related Phenomena
Volume71
Numéro de publication2
Les DOIs
Etat de la publicationPublié - 1995

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