COMPARISON OF THE SIGMA(I) I AND LEAST-SQUARES METHODS FOR INTEGRATION OF BRAGG-REFLECTIONS/

Citation
E. Prince et al., COMPARISON OF THE SIGMA(I) I AND LEAST-SQUARES METHODS FOR INTEGRATION OF BRAGG-REFLECTIONS/, Journal of applied crystallography, 30, 1997, pp. 133-137
Citations number
12
Categorie Soggetti
Crystallography
ISSN journal
00218898
Volume
30
Year of publication
1997
Part
2
Pages
133 - 137
Database
ISI
SICI code
0021-8898(1997)30:<133:COTSIA>2.0.ZU;2-J
Abstract
It is shown that peak integration by the sigma(I)/I method is equivale nt to a least-squares method that uses a weight matrix W not equal V-y (-1), where V-y is the variance-covariance matrix of the observations. By the Gauss-Markov theorem, this gives variances for the estimated p arameters that are greater, but in practice only slightly greater, tha n those obtained from an ideally weighted least-squares method.