Calibration curve computing (CCC) software v2.0: a new release of the INRIM regression tool

Lecuna, Maricarmen; Pennecchi, Francesca; Malengo, Andrea; Spazzini, Pier Giorgio

doi:10.1088/1361-6501/ab7d6e

Cited by 10 publications

(6 citation statements)

References 8 publications

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“…Thus Equation (2) does not resemble the χ 2 definition where m i i s µ anymore. Thus standard regression algorithms used widely do not apply (York 1966;Giordano & Iavernaro 2021;Lecuna et al 2020). The regression analysis follows Tellinghuisen (2020).…”

Section: Resultsmentioning

confidence: 99%

Recombination of Hot Ionized Nebulae: The Old Planetary Nebula around V4334 Sgr (Sakurai’s Star)*

Reichel

Kimeswenger

Hoof

et al. 2022

ApJ

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After becoming ionized, low-density astrophysical plasmas will begin a process of slow recombination. Models for this still have significant uncertainties. Recombination cannot normally be observed in isolation, because the ionization follows the evolutionary timescale of the ionizing source. Laboratory experiments are unable to reach the appropriate conditions because of the very long required timescales. The extended nebula around the very late helium pulse (VLTP) star V4334 Sgr provides a unique laboratory for this kind of study. The sudden loss of the ionizing UV radiation after the VLTP event has allowed the nebula to recombine free from other influences. More than 290 long-slit spectra taken with FORS1/2 at ESO’s Very Large Telescope between 2007 and 2022 are used to follow the time evolution of the lines of H, He, N, S, O, and Ar. Hydrogen and helium lines, representing most of the ionized mass, do not show significant changes. A small increase is seen in [N ii] (+2.8% yr−1; 2.7σ significance), while we see a decrease in [O iii] (−1.96% yr−1; 2.0σ significance). The [S ii] lines show a change of +3.0% yr−1 (1.6σ significance). The lines of [S iii] and of [Ar iii] show no significant changes. For [S iii], the measurement differs from the predicted decrease by 4.5σ. A possible explanation is that the fractions of S3+ and higher are larger than expected. Such an effect could provide a potential solution for the sulfur anomaly in planetary nebulae.

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Section: Resultsmentioning

confidence: 99%

Recombination of Hot Ionized Nebulae: The Old Planetary Nebula around V4334 Sgr (Sakurai’s Star)*

Reichel

Kimeswenger

Hoof

et al. 2022

ApJ

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“…If the SI of any of the parameters is higher than 100%, a way to improve the uncertainty could be the to implement a method such as error in variables or weighted total least squares (WTLS) in alternative to Monte Carlo method. Some online methods are available for this purpose [27,28]. If it was the temperature or any other measurable influence quantity, then physical measures to improve the measurement uncertainty should be taken.…”

Section: Comparing Resultsmentioning

confidence: 99%

Uncertainty evaluation of thermodynamic properties estimated with online data tools: vapor pressure as case study

Lecuna¹,

Sassi²

2022

Meas. Sci. Technol.

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Online databanks are a convenient source of information whenever thermodynamic properties are required for calculations, in both scientific and engineering environment. The data listed in these repositories is usually reported along with a range of validity and their sources. The values of the thermodynamic properties can usually be retrieved from databases and handbooks, in the form of tables, curves or correlations with regression parameters. Most of the times, little to no information is given on the uncertainty of the reported estimates, let alone regression parameters uncertainty. Evaluating the sources of uncertainty in any model is fundamental to verify the significance of the results for a specific application. Knowing the uncertainty, makes the difference between trusted values and random values. Depending on the model where the property is required and its application (the use of results), the contribution to the total uncertainty of thermodynamic properties and constants can surpass the contributions of other experimental input quantities. In this work, the methods described in the “Guide for the expression of uncertainty in measurement” are used to evaluate the uncertainty of a thermodynamic property of a pure substance, calculated based on the constants and references reported in two important online data banks (NIST and Dortmund Databank). The vapor pressure is considered as case study and several definitions with their relevant sources of uncertainty are presented. The aim of the work is to highlight the limitations of properties data commonly used in engineering estimations, as well as the importance of accounting for their uncertainty. Following established metrological guidelines, a full procedure has been developed, with specific considerations aimed to account for the ‘quality’ of the realization of the definition of the measurand as a source of uncertainty of the property.

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“…In the metrological field, several research papers [17][18][19][20][21][22][23][24] and standards [25-27] have been published on regression analysis, and relevant softwares have been developed [28][29][30][31][32].…”

Section: Introductionmentioning

confidence: 99%

“…In the metrological field, several research papers [ 17 , 18 , 19 , 20 , 21 , 22 , 23 , 24 ] and standards [ 25 , 26 , 27 ] have been published on regression analysis, and relevant softwares have been developed [ 28 , 29 , 30 , 31 , 32 ]. Analytical formulations of GLS are available from NPL and INRiM [ 18 , 20 ].…”

Section: Introductionmentioning

confidence: 99%

Approximated Uncertainty Propagation of Correlated Independent Variables Using the Ordinary Least Squares Estimator

Lim,

Kim,

Woo

2024

Molecules

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For chemical measurements, calibration is typically conducted by regression analysis. In many cases, generalized approaches are required to account for a complex-structured variance–covariance matrix of (in)dependent variables. However, in the particular case of highly correlated independent variables, the ordinary least squares (OLS) method can play a rational role with an approximated propagation of uncertainties of the correlated independent variables into that of a calibrated value for a particular case in which standard deviation of fit residuals are close to the uncertainties along the ordinate of calibration data. This proposed method aids in bypassing an iterative solver for the minimization of the implicit form of the squared residuals. This further allows us to derive the explicit expression of budgeted uncertainties corresponding to a regression uncertainty, the measurement uncertainty of the calibration target, and correlated independent variables. Explicit analytical expressions for the calibrated value and associated uncertainties are given for straight-line and second-order polynomial fit models for the highly correlated independent variables.

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Calibration curve computing (CCC) software v2.0: a new release of the INRIM regression tool

Cited by 10 publications

References 8 publications

Recombination of Hot Ionized Nebulae: The Old Planetary Nebula around V4334 Sgr (Sakurai’s Star)*

Recombination of Hot Ionized Nebulae: The Old Planetary Nebula around V4334 Sgr (Sakurai’s Star)*

Uncertainty evaluation of thermodynamic properties estimated with online data tools: vapor pressure as case study

Approximated Uncertainty Propagation of Correlated Independent Variables Using the Ordinary Least Squares Estimator

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