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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.

Registro:

Documento: Artículo
Título:Parameters' variances of a least-squares determined straight line with errors in both coordinates
Autor:Moreno, C.; Bruzzone, H.
Filiación:Fac. de Ciencias Exactas y Naturales, Inst. de Fisica del Plasma, Buenos Aires, Argentina
Palabras clave:Least squares determined curve; Parameters' errors; Standard error propagation law; Variance; Curve fitting; Differential equations; Error analysis; Least squares approximations
Año:1993
Volumen:4
Número:5
Página de inicio:635
Página de fin:636
DOI: http://dx.doi.org/10.1088/0957-0233/4/5/016
Título revista:Measurement Science and Technology
ISSN:09570233
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_09570233_v4_n5_p635_Moreno

Referencias:

  • Cecchi, GC, (1991) Meas. Sci. Technol., 2 (12), pp. 1127-1128
  • York, D, LEAST-SQUARES FITTING OF A STRAIGHT LINE (1966) Canadian Journal of Physics, 44 (5), pp. 1079-1086
  • Reed, BC, Linear least-squares fits with errors in both coordinates. II: Comments on parameter variances (1992) American Journal of Physics, 60 (1), pp. 59-62
  • Williamson, JH, Least-squares fitting of a straight line (1968) Canadian Journal of Physics, 46 (16), pp. 1845-1847
  • Kalantar, AH, (1992) Meas. Sci. Technol., 3, p. 1112

Citas:

---------- APA ----------
Moreno, C. & Bruzzone, H. (1993) . Parameters' variances of a least-squares determined straight line with errors in both coordinates. Measurement Science and Technology, 4(5), 635-636.
http://dx.doi.org/10.1088/0957-0233/4/5/016
---------- CHICAGO ----------
Moreno, C., Bruzzone, H. "Parameters' variances of a least-squares determined straight line with errors in both coordinates" . Measurement Science and Technology 4, no. 5 (1993) : 635-636.
http://dx.doi.org/10.1088/0957-0233/4/5/016
---------- MLA ----------
Moreno, C., Bruzzone, H. "Parameters' variances of a least-squares determined straight line with errors in both coordinates" . Measurement Science and Technology, vol. 4, no. 5, 1993, pp. 635-636.
http://dx.doi.org/10.1088/0957-0233/4/5/016
---------- VANCOUVER ----------
Moreno, C., Bruzzone, H. Parameters' variances of a least-squares determined straight line with errors in both coordinates. 1993;4(5):635-636.
http://dx.doi.org/10.1088/0957-0233/4/5/016