When errors in both coordinates make a difference in the fitting of straight lines by least squares

The problem of assessing the incidence of the x errors on the fitting parameters and their uncertainties in straight-line fittings is addressed. The case in which the x and y errors are proportional to each other is studied in detail. Limits for the maximum expected variation of the fitting values d...

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Detalles Bibliográficos
Autores principales:	Bruzzone, Horacio, Moreno, Cesar Hugo
Publicado:	1998
Materias:	Errors in both coordinates Errors in x Least-squares Linear regression Straight-line fitting Curve fitting Error analysis Least squares approximations Regression analysis Measurement errors
Acceso en línea:	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_09570233_v9_n12_p2007_Bruzzone http://hdl.handle.net/20.500.12110/paper_09570233_v9_n12_p2007_Bruzzone
Aporte de:	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

id	paper:paper_09570233_v9_n12_p2007_Bruzzone
record_format	dspace
spelling	paper:paper_09570233_v9_n12_p2007_Bruzzone2023-06-08T15:56:26Z When errors in both coordinates make a difference in the fitting of straight lines by least squares Bruzzone, Horacio Moreno, Cesar Hugo Errors in both coordinates Errors in x Least-squares Linear regression Straight-line fitting Straight-line fitting Curve fitting Error analysis Least squares approximations Regression analysis Measurement errors The problem of assessing the incidence of the x errors on the fitting parameters and their uncertainties in straight-line fittings is addressed. The case in which the x and y errors are proportional to each other is studied in detail. Limits for the maximum expected variation of the fitting values due to the inclusion of the x errors are given in terms of the standard fitting results, namely those obtained disregarding the x errors. Closed expressions for the parameters' values and their uncertainties are also given in terms of the standard fitting results. The main inaccuracies of the standard fitting are investigated analytically. The general case of point-dependent errors is also briefly discussed. Fil:Bruzzone, H. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Moreno, C. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 1998 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_09570233_v9_n12_p2007_Bruzzone http://hdl.handle.net/20.500.12110/paper_09570233_v9_n12_p2007_Bruzzone
institution	Universidad de Buenos Aires
institution_str	I-28
repository_str	R-134
collection	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic	Errors in both coordinates Errors in x Least-squares Linear regression Straight-line fitting Straight-line fitting Curve fitting Error analysis Least squares approximations Regression analysis Measurement errors
spellingShingle	Errors in both coordinates Errors in x Least-squares Linear regression Straight-line fitting Straight-line fitting Curve fitting Error analysis Least squares approximations Regression analysis Measurement errors Bruzzone, Horacio Moreno, Cesar Hugo When errors in both coordinates make a difference in the fitting of straight lines by least squares
topic_facet	Errors in both coordinates Errors in x Least-squares Linear regression Straight-line fitting Straight-line fitting Curve fitting Error analysis Least squares approximations Regression analysis Measurement errors
description	The problem of assessing the incidence of the x errors on the fitting parameters and their uncertainties in straight-line fittings is addressed. The case in which the x and y errors are proportional to each other is studied in detail. Limits for the maximum expected variation of the fitting values due to the inclusion of the x errors are given in terms of the standard fitting results, namely those obtained disregarding the x errors. Closed expressions for the parameters' values and their uncertainties are also given in terms of the standard fitting results. The main inaccuracies of the standard fitting are investigated analytically. The general case of point-dependent errors is also briefly discussed.
author	Bruzzone, Horacio Moreno, Cesar Hugo
author_facet	Bruzzone, Horacio Moreno, Cesar Hugo
author_sort	Bruzzone, Horacio
title	When errors in both coordinates make a difference in the fitting of straight lines by least squares
title_short	When errors in both coordinates make a difference in the fitting of straight lines by least squares
title_full	When errors in both coordinates make a difference in the fitting of straight lines by least squares
title_fullStr	When errors in both coordinates make a difference in the fitting of straight lines by least squares
title_full_unstemmed	When errors in both coordinates make a difference in the fitting of straight lines by least squares
title_sort	when errors in both coordinates make a difference in the fitting of straight lines by least squares
publishDate	1998
url	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_09570233_v9_n12_p2007_Bruzzone http://hdl.handle.net/20.500.12110/paper_09570233_v9_n12_p2007_Bruzzone
work_keys_str_mv	AT bruzzonehoracio whenerrorsinbothcoordinatesmakeadifferenceinthefittingofstraightlinesbyleastsquares AT morenocesarhugo whenerrorsinbothcoordinatesmakeadifferenceinthefittingofstraightlinesbyleastsquares
_version_	1768542373063688192

When errors in both coordinates make a difference in the fitting of straight lines by least squares

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