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, H., Moreno, C.
Formato:	JOUR
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:	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	todo:paper_09570233_v9_n12_p2007_Bruzzone
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spelling	todo:paper_09570233_v9_n12_p2007_Bruzzone2023-10-03T15:52:21Z When errors in both coordinates make a difference in the fitting of straight lines by least squares Bruzzone, H. Moreno, C. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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, H. Moreno, C. 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.
format	JOUR
author	Bruzzone, H. Moreno, C.
author_facet	Bruzzone, H. Moreno, C.
author_sort	Bruzzone, H.
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
url	http://hdl.handle.net/20.500.12110/paper_09570233_v9_n12_p2007_Bruzzone
work_keys_str_mv	AT bruzzoneh whenerrorsinbothcoordinatesmakeadifferenceinthefittingofstraightlinesbyleastsquares AT morenoc whenerrorsinbothcoordinatesmakeadifferenceinthefittingofstraightlinesbyleastsquares
_version_	1782025790011998208

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

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