Artículo
Moreno, C. "A least-squares-based method for determining the ratio between two measured quantities" (1996) Measurement Science and Technology. 7(2):137-141
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Abstract:
A numerical procedure to find the ratio between two measured quantities is discussed in the framework of the least-squares method with errors in both coordinates. Constant, as well as variable, amounts of statistical uncertainties are considered for each variable along their measured range. Analytical solutions for particular cases are given. The variance of the ratio is given as a closed analytical expression valid for the general case. Limiting cases of the presented results are compared with those obtained using classical least-squares expressions. A comparison with the weighted average method is also discussed.
Registro:
| Documento: | Artículo |
| Título: | A least-squares-based method for determining the ratio between two measured quantities |
| Autor: | Moreno, C. |
| Filiación: | Inst. de Física del Plasma, CONICET Departamento de Física, Fac. de Ciencias Exactas y Naturales, Universidad de Buenos Aires, 1428 Buenos Aires, Argentina Argentine National Research Council |
| Año: | 1996 |
| Volumen: | 7 |
| Número: | 2 |
| Página de inicio: | 137 |
| Página de fin: | 141 |
| DOI: | http://dx.doi.org/10.1088/0957-0233/7/2/003 |
| Título revista: | Measurement Science and Technology |
| Título revista abreviado: | Meas. Sci. Technol. |
| ISSN: | 09570233 |
| CODEN: | MSTCE |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_09570233_v7_n2_p137_Moreno |
Referencias:
- Barker, D.R., Diana, L.M., Simple method for fitting data when both variables have uncertainties (1974) Am. J. Phys., 42 (3), pp. 224-227
- Bevington, P.R., (1969) Data Reduction and Error Analysis for the Physical Sciences, , New York: McGraw-Hill
- Cecchi, G.C., Error analysis of the parameters of a least-squares determined curve when both variables have uncertainties (1991) Meas. Sci. Technol., 2 (12), pp. 1127-1128
- Erratum: Error analysis of the parameters of a least-squares determined curve when both variables have uncertainties (1993) Meas. Sci. Technol., 4 (8), p. 906
- Deming, W.E., (1943) The Statistical Adjustment of Data, , (New York: Wiley) 1964 (New York: Dover)
- Kalantar, A.H., Straight-line parameters' errors propagated from the errors in both coordinates (1992) Meas. Sci. Technol., 3, p. 1113
- Macdonald, J.R., Thompson, W.J., Least-squares fitting when both variables contain errors: Pitfalls and possibilities (1992) Am. J. Phys., 60 (1), pp. 66-73
- Moreno, C., Bruzzone, H., Parameters' variances of a least-squares determined straight line with errors in both coordinates (1993) Meas. Sci. Technol., 4 (5), pp. 635-636
- Orear, J., Least squares when both variables have uncertainties (1982) Am. J. Phys., 50 (10), pp. 912-916
- Press, W.H., Teukolsky, S.A., Fitting straight line data with errors in both coordinates (1992) Comput. Phys., 6 (3), pp. 274-276
- Press, W.H., Teukolsky, S.A., Vetterling, W.T., Flannery, B.P., (1992) Numerical Recipes: The Art of Scientific Computing 2nd Edn, , New York: Cambridge
- Reed, B.C., Linear least-squares fits with errors in both coordinates II: Comments on parameter variances (1992) Am. J. Phys., 60 (1), pp. 59-62
- Williamson, J.H., Least-squares fitting of a straight line (1968) Can. J. Phys., 46, pp. 1845-1847
- York, D., Least-squares fitting of a straight line (1966) Can. J. Phys., 44, pp. 1079-1086
Citas:
---------- APA ----------
(1996) . A least-squares-based method for determining the ratio between two measured quantities. Measurement Science and Technology, 7(2), 137-141.http://dx.doi.org/10.1088/0957-0233/7/2/003
---------- CHICAGO ----------
Moreno, C. "A least-squares-based method for determining the ratio between two measured quantities" . Measurement Science and Technology 7, no. 2 (1996) : 137-141.http://dx.doi.org/10.1088/0957-0233/7/2/003
---------- MLA ----------
Moreno, C. "A least-squares-based method for determining the ratio between two measured quantities" . Measurement Science and Technology, vol. 7, no. 2, 1996, pp. 137-141.http://dx.doi.org/10.1088/0957-0233/7/2/003
---------- VANCOUVER ----------
Moreno, C. A least-squares-based method for determining the ratio between two measured quantities. Meas. Sci. Technol. 1996;7(2):137-141.http://dx.doi.org/10.1088/0957-0233/7/2/003
