Publication:
The uncertainty of a result from a linear calibration
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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