Parameters' variances of a least-squares determined straight line with errors in both coordinates
- 1 May 1993
- journal article
- Published by IOP Publishing in Measurement Science and Technology
- Vol. 4 (5) , 635-636
- https://doi.org/10.1088/0957-0233/4/5/016
Abstract
A paper dealing with parameters' errors of a least-squares determined curve was published by G.C. Cecchi (1991). A.H. Kalantar (1992) correctly pointed out that the results quoted by Cecchi for the variance estimates of a straight-line fit do not agree with those previously reported by other authors. Nevertheless, for straight-line fits the formalism discussed by Cecchi is essentially correct. In the present communication, complete agreement between results is achieved after some detailed calculations.Keywords
This publication has 5 references indexed in Scilit:
- Straight-line parameters' errors propagated from the errors in both coordinatesMeasurement Science and Technology, 1992
- Linear least-squares fits with errors in both coordinates. II: Comments on parameter variancesAmerican Journal of Physics, 1992
- Error analysis of the parameters of a least-squares determined curve when both variables have uncertaintiesMeasurement Science and Technology, 1991
- Least-squares fitting of a straight lineCanadian Journal of Physics, 1968
- LEAST-SQUARES FITTING OF A STRAIGHT LINECanadian Journal of Physics, 1966