Reassessment of a calibration model by Bayesian reference analysis

Metrologia

Volumn 48, Issue 1, 2011, Pages

  Grientschnig, Dieter ^a   Lira, Ignacio ^b  

^a Chemical Laboratories   (Austria)

^b PONTIFICIA UNIVERSIDAD CATÓLICA DE CHILE   (Chile)

Author keywords

[No Author keywords available]

Indexed keywords

BAYESIAN; BAYESIAN ANALYSIS; CALIBRATION FUNCTIONS; CALIBRATION MODEL; FUNCTIONAL DEPENDENCE; GAUSSIAN PROBABILITY DISTRIBUTIONS; GUIDE TO THE EXPRESSION OF UNCERTAINTY IN MEASUREMENTS; KNOWLEDGE DISTRIBUTION; MEASURAND; NON-INFORMATIVE PRIOR; POLYNOMIAL FUNCTIONS; POSTERIOR DISTRIBUTIONS; PRIOR INFORMATION; REFERENCE PRIOR; STANDARD DEVIATION;

BAYESIAN NETWORKS; CALIBRATION; UNCERTAINTY ANALYSIS;

PROBABILITY DISTRIBUTIONS;

EID: 79551500052     PISSN: 00261394     EISSN: 16817575     Source Type: Journal    
DOI: 10.1088/0026-1394/48/1/L02     Document Type: Article

References (17)

1. Joint Committee for Guides in Metrology 2008 JCGM 101, Evaluation of Measurement Data-Supplement 1 to the 'Guide to the Expression of Uncertainty in Measurement'-Propagation of distributions using a Monte Carlo method (Sèvres: JCGM) http://www.bipm.org/utils/common/documents/jcgm/ JCGM1012008E.pdf (accessed 28 November 2010)
2. Kacker R, Toman B and Huang D 2006 Comparison of ISO-GUM, draft GUM Supplement 1 and Bayesian statistics using simple linear calibration Metrologia 43 S167-77
3. Kyriazis G A 2008 Comparison of GUM Supplement 1 and Bayesian analysis using a simple linear calibration model Metrologia 45 L9-11
4. Elster C and Toman B 2009 Bayesian uncertainty analysis under prior ignorance of the measurand versus analysis using the Supplement 1 to the Guide: a comparison Metrologia 46 261-6
5. Lira I and Grientschnig D 2010 Equivalence of alternative Bayesian procedures for evaluating measurement uncertainty Metrologia 47 334-6
6. Sun D and Berger J O 1998 Reference priors with partial information Biometrika 85 55-71
7. Berger J O, Liseo B and Wolpert R L 1999 Integrated likelihood methods for eliminating nuisance parameters Stat. Sci. 14 1-28
8. Liseo B, Tancredi A and Barbieri M M 2010 Approximate reference priors in the presence of latent structure Frontiers of Statistical Decision Making and Bayesian Analysis ed M-H Chen et al (New York: Springer) pp 44-56 chapter 2.2
9. Jeffreys H 1961 Theory of Probability 3rd edn (Oxford: Clarendon)
10. Elster C, Wöger W and Cox M G 2007 Draft GUM Supplement 1 and Bayesian analysis Metrologia 44 L31-2
11. Michalski L, Eckersdorf K, Kucharski J and McGhee J 2001 Temperature Measurement 2nd edn (Chichester: Wiley)
12. Bernardo J M 2005 Reference analysis Bayesian Thinking: Modeling and Computation (Handbook of Statistics vol 25) ed D K Dey and C R Rao (Amsterdam: Elsevier) pp 17-90 chapter 2
13. Willink R 2010 Uncertainty in repeated measurement of a small non-negative quantity: explanation and discussion of Bayesian methodology Accred. Qual. Assur. 15 181-8
14. Analytical Methods Committee, The Royal Society of Chemistry 2010 Response from the Analytical Methods Committee (AMC) to the paper 'Uncertainty in repeated measurement of a small non-negative quantity: explanation and discussion of Bayesian methodology' Accred. Qual. Assur. 15 189-91
15. Willink R 2010 On the validity of methods of uncertainty evaluation Metrologia 47 80-9
16. Berger J O and Bernardo J M 1992 On the development of reference priors Bayesian Statistics vol 4 ed J M Bernardo et al (Oxford: Oxford University Press) pp 35-60
17. Berger J O and Bernardo J M 1992 Reference priors in a variance components problem Bayesian Analysis in Statistics and Econometrics (Lecture Notes in Statistics number 75) ed P K Goel and N S Iyengar (New York: Springer) pp 177-94