Abstract
The determination of errors of optimum parameters p (f) obtained by the application of the least-squares method to a large number of experimental values m, involves a two-step procedure. First, the errors of m must be properly characterized. Then, since the errors of m carry over to those of p (the errors “propagate” from m to p ), a general law of propagation of errors must be applied to the characteristics of the errors of m so that those of the errors of p can be derived.
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Selected References
Hamilton, W.C., “Statistics in Physical Sciences” ( Ronald: New York ) 1964.
Mandel, J., “Statistical Analysis of Experimental Data” ( Wiley: New York ) 1964.
“Precision Measurements and Calibration; Selected NBS Papers on Statistical Concepts and Procedures”, Vol. 1, NBS Special Publication no. 300 (U.S. Government Printing Office: Washington) 1969.
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© 1972 Springer-Verlag Berlin · Heidelberg
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Diehl, P., Kellerhals, H., Lustig, E. (1972). Parameter Errors from Least-Squares Fits. In: Computer Assistance in the Analysis of High-Resolution NMR Spectra. NMR, vol 6. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-65261-5_15
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DOI: https://doi.org/10.1007/978-3-642-65261-5_15
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-65263-9
Online ISBN: 978-3-642-65261-5
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