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Implementation of a generalized least-squares method for determining calibration curves from data with general uncertainty structures

M J T Milton et al 2006 Metrologia 43 S291-S298   doi: 10.1088/0026-1394/43/4/S17  Help

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M J T Milton, P M Harris, I M Smith, A S Brown and B A Goody
National Physical Laboratory, Hampton Road, Teddington, TW11 0LW UK

Abstract. The determination of a best-fit calibration curve that describes the response of a measuring system to the value of a standard is one of the most widely used procedures in metrology. The mathematical basis for a generalized least-squares solution to this problem is reviewed. Examples of the application of a software implementation of the method are presented to illustrate the treatment of calibration problems with different uncertainty structures for the calibration data, including correlated data. The examples concern the calibration of analysers to measure the composition of natural gas and the calibration of a gas flow dilutor.

Print publication: Issue 4 (August 2006)
Received 6 February 2006
Published 4 August 2006

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