Abstract
We may explain the meaning and importance of uncertainty in measurement in several ways. It is widely recognized that the value of a measured quantity is determined within a certain range. The range depends upon instruments, quality of measurements taken and the confidence level at which the final result is to be stated. Leaving aside the formal definition, half of this range may be called uncertainty of measurement. The uncertainty in a measurement result will depend upon all the three aforesaid elements. Therefore, quantifying a measurable quantity through any measurement process is meaningful only if the value of the quantity measured is given with a proper unit of measurement and is accompanied by an overall uncertainty in measurement.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
P. Giacomo, Equation for the determination of density of moist air (1981). Metrologia 18, 33–40 (1982)
R.S. Davis, Equation for the determination of density of moist air(1981/1991). Metrologia 29, 67–70 (1992)
A. Picard, H. Fang, Three methods of determining the density of moist air during mass comparisons. Metrologia 39, 31–40 (2002)
A. Picard, H. Fang, M. Glaser, Discrepancy in air density determination between thermodynamic formula and gravimetric method: evidence for a new value of mole fraction of argon in air. Metrologia 41, 396–400 (2004)
S.Y. Park et al., A re-determination of the argon content of air for buoyancy correction in mass standard comparisons. Metrologia 41, 387–395 (2004)
CIPM, Revised formula for density of air (CIPM-2007). Metrologoia 45, 149–155 (2008)
R. Kaarls, NIPM Proc. Verb.com.Int. Poise et Mesure 49, A1–A12 (1981)
P. Giacomo, Metrologia 17, 73–74 (1980)
P. Giacomo, Metrologia 18, 43–44 (1982)
P. Giacomo, Metrologia 24, 49–50 (1987)
ISO, IEC, OIML and BIPM, Guide to the Expression of Uncertainty in Measurement. (ISO/TAG 4/WG 3, 1995)
K. Raghu, Bayesian alternative to ISO GUMs use of the Welch-Saitterthwaite formula. Metrologia 43, 1–11 (2006)
W. Birch, L. Callegaro, F. Pennechhi, Non-linear models and best estimator in Gum. Metrologia 43, S196–S199 (2006)
K. Raghu, B. Toman, D. Huang, Comparison of ISO GUM, draft GUM Supplement and Bayesian Statistics using simple linear calibration. Metrologia 43, S167–S177 (2006)
M.G. Cox, M.R.L. Siebert, The use of a Monte Carlo method for evaluating uncertainty and expanded uncertainty. Metrologia 43, S178–S188 (2006)
S.V. Crowder, R.D. Moyer, A two stage Monte Carlo approach to the expression of Uncertainty with non-Linear measurement equation with small size. Metrologia 43, 34–41 (2006)
R. Willink, On using Monte Carlo method to calculate uncertainty intervals. Metrologia 43, L39–L42 (2006)
W. Bich, L. Callegaro, F. Pennecchi, Non-linear models and best estimator in the GUM. Metrologia 43, S161–S166
JCGM, Supplement 1 to the Guide to the expression of uncertainty in measurement – Propagation of distribution functions, page 18, (2008)
A. Gelman, J.B. Carlin, H.S. Stern, D.B. Rubin, Bayesian Data Analysis(Chapman and Hall, London, 2004)
P.M. Lee, Bayesian Statistics(Oxford University Press, New York, 1997)
I. Lira, W. Woger, Comparison between conventional Bayesian approaches to evaluate measurement data. Metrologia 43, S249–S259 (2006)
I. Lira, Bayesian evaluation of comparison data. Metrologia 43, S231–S234 (2006)
A. Balsamo, G. Mana, F. Pennecchi, The expression of uncertainty in non-linear parameter estimates. Metrologia 43, 396–402 (2006)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2012 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Gupta, S.V. (2012). Calculation of Uncertainty. In: Measurement Uncertainties. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-20989-5_7
Download citation
DOI: https://doi.org/10.1007/978-3-642-20989-5_7
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-20988-8
Online ISBN: 978-3-642-20989-5
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)