Abstract
This paper describes the approach made to describe the uncertainty on the area at zero pressure ( A 0 ) and on the deformation coefficient of piston-cylinders used for pressure definition. We perform the Monte-Carlo simulation for an ordinary least squares (OLS) as well as for a weighted least squares (WLS) and a generalized least squares (GLS). We also introduce an innovative technique to improve the results obtained by WLS in order to get close to the quality obtained using GLS. We discuss the different situations that guides to the best choice between OLS, WLS and GLS.
Highlights
Pressure laboratories have an uncertainty on the effective area determined by cross floatation based on the uncertainties on the influence factors and the sensitivity coefficients. [13]
We explore the uncertainty of the determination of effective area at zero pressure and deformation coefficient based on Monte-Carlo simulation of the calibration process and the determination of λ and A0
We applied successfully a Monte-Carlo simulation to determine the uncertainty on A0 and λ determined by cross floating of pressure balances
Summary
Pressure laboratories have an uncertainty on the effective area determined by cross floatation based on the uncertainties on the influence factors and the sensitivity coefficients. [13]. Pressure laboratories have an uncertainty on the effective area determined by cross floatation based on the uncertainties on the influence factors and the sensitivity coefficients. The uncertainty on the area at zero pressure (A0) and the deformation coefficient (λ) determined by least squares is not trivial to obtain by the technique of the sensitivity coefficients. The project Euramet 1125 [4] described the results obtained by several national metrology institutes in Europe for a set of data, simulating measurements affected by known uncertainties. Alternative techniques have been recently proposed to improve the uncertainty [5,6,7]. We explore the uncertainty of the determination of effective area at zero pressure and deformation coefficient based on Monte-Carlo simulation of the calibration process and the determination of λ and A0
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