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

Milton, Martin; Harris, P M; Smith, I. M.; Brown, Andrew S.; Goody, B A

doi:10.1088/0026-1394/43/4/s17

Cited by 45 publications

(50 citation statements)

References 12 publications

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“…Trends in HPV prevalence by age were based on data presented in the smoothed curves shown as insets in the upper right-hand corner of their respective figure. The curves were estimated using locally weighted regression of HPV prevalence by age with combined data for each region and regression estimations were conducted using the least-squared methods [14].…”

Section: Data Extraction and Analysismentioning

confidence: 99%

Age-Specific Prevalence of Infection with Human Papillomavirus in Females: A Global Review

Smith

Melendy

Rana

et al. 2008

Journal of Adolescent Health

282

219

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Section: Data Extraction and Analysismentioning

confidence: 99%

Age-Specific Prevalence of Infection with Human Papillomavirus in Females: A Global Review

Smith

Melendy

Rana

et al. 2008

Journal of Adolescent Health

282

219

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“…However, it might be expected that the errors in the measured values of the individual returned signals themselves would be simpler to characterise and treat. An alternative analysis approach is then based on solving a GLS problem as follows (Forbes, 1993;Forbes et al, 2002;Milton et al, 2006). Let I 1 = {m LOW , .…”

Section: One-step Generalised Least-squares (Gls) Approachmentioning

confidence: 99%

Estimation of background gas concentration from differential absorption lidar measurements

et al. 2016

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Abstract. Approaches are considered to estimate the background concentration level of a target species in the atmosphere from an analysis of the measured data provided by the National Physical Laboratory's differential absorption lidar (DIAL) system. The estimation of the background concentration level is necessary for an accurate quantification of the concentration level of the target species within a plume, which is the quantity of interest. The focus of the paper is on methodologies for estimating the background concentration level and, in particular, contrasting the assumptions about the functional and statistical models that underpin those methodologies. An approach is described to characterise the noise in the recorded signals, which is necessary for a reliable estimate of the background concentration level. Results for measured data provided by a field measurement are presented, and ideas for future work are discussed.

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“…[12]. Note: another practice (''indirect model'') consisting of modelling the standards as a function of indications is sometimes used.…”

Section: Inversion Of the Direct Modelmentioning

confidence: 99%

Implementation of the calibration’s VIM3 definition using the matrix of variance–covariance of input data

Priel

Désenfant

2015

Accred Qual Assur

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This paper discusses the effects following the implementation of the concept of calibration presented in the 3rd edition of the international vocabulary of metrology-basic and general concepts and associated terms (VIM) and the repercussions of practitioners adopting VIM3. The new definition leads to modifications in the treatment of calibration data. It is now necessary to establish a relation which allows obtaining any measurement result from any indication of the measuring instrument. This relation takes into account uncertainties and any covariances, both on the values of the standards used and on the indications and maybe even the covariances. The usual statistical technique of regression, the ordinary least squares adjustment, does not generally enable to reach this goal. As a result, more sophisticated methods need to be used, for instance the Generalised Gauss Markov Regression. We compared both methods on a gas chromatograph calibration example.

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

Cited by 45 publications

References 12 publications

Age-Specific Prevalence of Infection with Human Papillomavirus in Females: A Global Review

Age-Specific Prevalence of Infection with Human Papillomavirus in Females: A Global Review

Estimation of background gas concentration from differential absorption lidar measurements

Implementation of the calibration’s VIM3 definition using the matrix of variance–covariance of input data

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