TY - JOUR
T1 - The Use of Least-Squares for XPS Peak Parameters Estimation
T2 - Part 2. Univariate Hypotheses Testing
AU - Leclerc, Gervais
AU - Pireaux, Jean-Jacques
PY - 1995
Y1 - 1995
N2 - 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.
AB - 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.
U2 - 10.1016/0368-2048(94)02279-8
DO - 10.1016/0368-2048(94)02279-8
M3 - Article
SN - 0368-2048
VL - 71
SP - 165
EP - 178
JO - Journal of Electron Spectroscopy and Related Phenomena
JF - Journal of Electron Spectroscopy and Related Phenomena
IS - 2
ER -