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

被引：13

作者：

Bruzzone, H ^{[1
]}

Moreno, C ^{[1
]}

机构：

[1] Univ Buenos Aires, Consejo Nacl Invest Cient & Tecn, Inst Fis Plasma, Fac Ciencias Exactas & Nat, RA-1428 Buenos Aires, DF, Argentina

来源：

MEASUREMENT SCIENCE AND TECHNOLOGY | 1998年 / 9卷 / 12期

关键词：

least-squares; errors in both coordinates; errors in x; straight-line fitting; linear regression;

D O I：

10.1088/0957-0233/9/12/012

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

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.

引用

页码：2007 / 2011

页数：5

共 11 条

[1] SIMPLE METHOD FOR FITTING DATA WHEN BOTH VARIABLES HAVE UNCERTAINTIES [J].