Bayesian posterior predictive p-value of statistical consistency in interlaboratory evaluations

Metrologia

Volumn 45, Issue 5, 2008, Pages 512-523

  Kacker, Raghu N ^a   Forbes, Alistair ^b   Kessel, Rüdiger ^a   Sommer, Klaus Dieter ^c  

^a NATIONAL INSTITUTE OF STANDARDS AND TECHNOLOGY   (United States)

^b NATIONAL PHYSICAL LABORATORY   (United Kingdom)

^c PHYSIKALISCH TECHNISCHE BUNDESANSTALT   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

BAYESIAN NETWORKS; MATHEMATICAL MODELS; STATISTICAL TESTS; UNITS OF MEASUREMENT;

BAYESIAN; BAYESIAN ADAPTATIONS; CONDITIONAL DISTRIBUTIONS; CONSISTENCY MODELS; EXPECTED VALUES; GAUSSIAN; HYPOTHESIS TESTING; KEY COMPARISONS; MODEL FITS; POSTE-RIORS; PREDICTIVE DISTRIBUTIONS; STATISTICAL MODELS;

MODEL CHECKING;

EID: 58149333743     PISSN: 00261394     EISSN: 16817575     Source Type: Journal    
DOI: 10.1088/0026-1394/45/5/004     Document Type: Article

References (14)

1. Birge R T 1932 The calculation of errors by the method of least squares Phys. Rev. 40 207-27
2. Taylor B N, Parker W H and Langenberg D N 1969 Determination of e/h, using macroscopic quantum phase coherence in superconductors: implications for quantum electrodynamics and the fundamental physical constants Rev. Mod. Phys. 41 375-496
3. Kacker R N, Forbes A B, Kessel R and Sommer K-D 2008 Classical and Bayesian interpretation of the Birge test of consistency and its generalized version for correlated results from interlaboratory evaluations Metrologia 45 257-64
4. Gelman A, Carlin J B, Stern H S and Rubin D B 2004 Bayesian Data Analysis 2nd edn (London: Chapman and Hall)
5. Rao C R 1973 Linear Statistical Inference and its Application 2nd edn (New York: Wiley)
6. Lee P M 1997 Bayesian Statistics, An Introduction 2nd edn (Oxford: Oxford University Press)
7. Evans M, Hastings N and Peacock B 2000 Statistical Distributions 3rd edn (New York: Wiley)
8. Searle S R 1971 Linear Models (New York: Wiley)
9. Harville D A 1997 Matrix Algebra from a Statistician's Perspective (Berlin: Springer)
10. Cox M G 2002 The evaluation of key comparison data Metrologia 39 589-95 (This paper is the work of an international advisory group on uncertainties commissioned by the director of the BIPM)
11. Draper N R and Smith H 1981 Applied Regression Analysis 2nd edn (New York: Wiley)
12. Goebel R, Stock M and Köhler R 2000 Report on the international comparison of cryogenic radiometers based on transfer detectors, BIPM-2000/9 (Sèvres: Bureau International des Poids et Mesures) http://www.bipm.org/ pdf/RapportBIPM/2000/09.pdf
13. International Committee of Weights and Measures (CIPM) 1999 Mutual Recognition of National Measurement Standards and of Calibration and Measurement Certificates Issued By National Metrology Institutes http://www.bipm.org/utils/ en/pdf/mra-2003.pdf
14. Kacker R N, Datla R U and Parr A C 2004 Statistical analysis of CIPM key comparisons based on the ISO Guide Metrologia 41 340-52