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
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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
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Palabras clave: | Least squares determined curve; Parameters' errors; Standard error propagation law; Variance; Curve fitting; Differential equations; Error analysis; Least squares approximations |
Año: | 1993
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Volumen: | 4
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Número: | 5
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Página de inicio: | 635
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Página de fin: | 636
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DOI: |
http://dx.doi.org/10.1088/0957-0233/4/5/016 |
Título revista: | Measurement Science and Technology
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ISSN: | 09570233
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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