Publication:
The uncertainty of a result from a linear calibration

dc.contributor.author Hibbert, D. Brynn en_US
dc.date.accessioned 2021-11-25T13:06:01Z
dc.date.available 2021-11-25T13:06:01Z
dc.date.issued 2006 en_US
dc.description.abstract Calibration of a measuring system is at the heart of many chemical measurements. It has direct relevance to the traceability of the measurement and contributes to the measurement uncertainty. A measurement can be seen as a two-step process in which an instrument is calibrated using one or more standards, followed by presentation of a sample to the instrument and the assignment of the value of the measurand. Instrumental analytical methods, particularly chromatographic, spectroscopic and electrochemical methods, are usually calibrated over a range of concentrations of the analyte. Often the calibrations are assumed (or arranged to be) linear and in the past, a graph was prepared by drawing the best straight line by eye through the points. Having obtained a response from the instrument from the sample to be analysed, the concentration of this sample was read off the graph, going from the instrument response on the y-axis to the concentration on the x-axis. While drawing a graph for the purpose of calibration is no longer done in practice, with a spreadsheet performing a least squares regression to obtain the equation of the best straight line, the calibration function is often still referred to as a ‘calibration line’ or ‘calibration curve’. In this paper the commonly used expression for the standard error of a result obtained from a straight line calibration is extended to a quadratic calibration, and the case where weighted regression is necessary. Spreadsheet recipes are given to accomplish these calculations. en_US
dc.identifier.issn 0003-2654 en_US
dc.identifier.uri http://hdl.handle.net/1959.4/39128
dc.language English
dc.language.iso EN en_US
dc.rights CC BY-NC-ND 3.0 en_US
dc.rights.uri https://creativecommons.org/licenses/by-nc-nd/3.0/au/ en_US
dc.source Legacy MARC en_US
dc.subject.other Regression en_US
dc.subject.other Standard error en_US
dc.subject.other Calibration en_US
dc.subject.other Measurement uncertainty en_US
dc.title The uncertainty of a result from a linear calibration en_US
dc.type Journal Article en
dcterms.accessRights open access
dspace.entity.type Publication en_US
unsw.accessRights.uri https://purl.org/coar/access_right/c_abf2
unsw.description.publisherStatement Reproduced by permission of The Royal Society of Chemistry (RSC). en_US
unsw.identifier.doiPublisher http://dx.doi.org/10.1039/b615398d en_US
unsw.relation.faculty Science
unsw.relation.ispartofissue 12 en_US
unsw.relation.ispartofjournal Analyst en_US
unsw.relation.ispartofpagefrompageto 1273-1278 en_US
unsw.relation.ispartofvolume 131 en_US
unsw.relation.originalPublicationAffiliation Hibbert, D. Brynn, Chemistry, Faculty of Science, UNSW en_US
unsw.relation.school School of Chemistry *
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