Skip to main content

Approaches to Data Assessment and Uncertainty Estimation in Testing

  • Chapter
  • First Online:
Data Modeling for Metrology and Testing in Measurement Science

Summary

The following chapter presents a selection of feasible approaches to data assessment and uncertainty evaluation for single measurands (univariate case), multiple measurands with and without a functional relationship (multivariate case), and some aspects of semi-qualitative and qualitative testing.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. BIPM, IEC, IFCC, ISO, IUPAC, IUPAP and OIMLGuide to the Expression of Uncertainty in Measurement, ISO, Geneva, 1st edition (reprinted with corrections) 1995

    Google Scholar 

  2. H. W. Coleman, W. G. Steele:Experimentation and Uncertainty Analysis for Engineers, John Wiley & Sons., Inc., New York, 1989

    Google Scholar 

  3. M. Neuilly:Modelling and Estimation of Measurement Errors. Intercept Ltd., Hampshire, UK, 1999

    MATH  Google Scholar 

  4. L.J. Lyons,Analyst, 2000,125, 2020–2025

    Article  Google Scholar 

  5. M.S. Levenson, D.L. Banks, K.R. Eberhart, L.M. Gill, W.F. Guthrie, H.K. Liu, M.G. Vangel, J.H. Yen, N.F. Zhang,J. Res. Natl. Inst. Stand. Technol., 2000,105, 571–579

    Google Scholar 

  6. ISO Guide 35,Reference materials—General and statistical principles for certification (3rd edition 2006)

    Google Scholar 

  7. W.G. Cochran,Biometrics, 1954,10, 101–129

    Article  MathSciNet  Google Scholar 

  8. R.J. Douglas and A.G. Steele,Metrologia, 2006,43, 89–97

    Article  Google Scholar 

  9. C.R. Paule and J. Mandel,J Res Natl Bur Stand, 1982,87, 377–385

    MATH  Google Scholar 

  10. S.B. Schiller and K.R. Eberhardt,Spectrochimica Acta, 1991,46B, 1607–1613

    Google Scholar 

  11. A.L. Rukhin and M.G. Vangel,J Am Stat Assoc, 1998,93, 303–308

    Article  MathSciNet  MATH  Google Scholar 

  12. W. Hässelbarth, W. Bremser and R. Pradel,Fresenius J Anal Chem, 1998,360, 317–321

    Article  Google Scholar 

  13. R. Kacker,Metrologia, 2004,41, 132–136

    Article  Google Scholar 

  14. R.T. Birge,Phys Rev, 1932,40, 207–227

    Article  MATH  Google Scholar 

  15. W. Weise and W. Wöger,Meas Sci Technol, 2000,11, 1649–1658

    Article  Google Scholar 

  16. R. Kacker, R. Datla and A. Parr,Metrologia, 2002,39, 279–293

    Article  Google Scholar 

  17. J.W. Müller,J Res NIST, 2000,105, 551–555

    Google Scholar 

  18. W. Hässelbarth, and W. Bremser:Combination of results from several measurements – An everlasting problem. in:Combining and Reporting Analytical Results. RSC, December 2006

    Google Scholar 

  19. M.G. Cox: A discussion of approaches for determining a reference value in the analysis of key-comparison data. NPL Report CISE 42/99

    Google Scholar 

  20. EURACHEM/CITAC Guide:Quantifying Uncertainty in Analytical Measurement, 2nd edition, 2000

    Google Scholar 

  21. ISO 5725-parts 1, 2, 6:1994,Accuracy (Trueness and Precision) of Measurement Methods and Results. ISO, Geneva

    Google Scholar 

  22. V.J. Barwick, S.L.R. Ellison,Analyst, 1999,124, 981–990

    Article  Google Scholar 

  23. Nordtest TR 537(2003):Handbook for Calculation of Measurement Uncertainty in Environmental Laboratories

    Google Scholar 

  24. Codex alimentarius Commission:Guidance on Measurement Uncertainty (March 2007)

    Google Scholar 

  25. Eurolab Technical Report 1/2007:Measurement Uncertainty Revisited: Alternative Approaches to Uncertainty Evaluation

    Google Scholar 

  26. H.Scholze,Der Einbau von Wasser in Gläser,Glastechnische Berichte, 1959,32, 81–88

    Google Scholar 

  27. A.S. Brown, M.J.T. Milton, C.J. Cowper, G.D. Squire, W. Bremser, R.W. Branch,J Chromatog A, 1040, 2004, 215–225

    Article  Google Scholar 

  28. Press WH, Teukolsky SA, Vetterling WT, Flannery BP,Numerical receipes in Fortran, Cambridge University Press, 2nd edition, 1994

    Google Scholar 

  29. G. Engeln-Müllges, F. Reuter,Numerik-Algorithmen mit Fortran77 Programmen, Wissenschaftsverlag, Mannheim-Leipzig-Wien-Zürich, 1993

    Google Scholar 

  30. W. Hässelbarth, W. Bremser,Metrologia 44 2007 128–145

    Article  Google Scholar 

  31. W. Bremser, W. Hässelbarth,Accred Qual Assur 19983 106–110

    Article  Google Scholar 

  32. W.E. Deming,Statistical Adjustment of Data, John Wiley & Sons, New York, 1946

    Google Scholar 

  33. B.D. Ripley, M. Thompson,Analyst, 1987,112, 377

    Article  Google Scholar 

  34. ISO 6143:2001,Gas analysis—Comparison methods for determining and checking the composition of calibration gas mixtures, ISO, Geneva

    Google Scholar 

  35. G. Tomasi, F. van den Berg, and C. Andersson,J. Chemometrics, 2004,18, 231–241

    Article  Google Scholar 

  36. ISO/IEC 17025:1999,General Requirements for the Competence of Testing and Calibration Laboratories. ISO, Geneva

    Google Scholar 

  37. ILAC-G17:2002,Introducing the Concept of Uncertainty of Measurement in Testing in Association with the Application of the Standard ISO/IEC 17025

    Google Scholar 

  38. W.-O. Kwan, B.R. Kowalski, and R.K. Skogerboe,J Agricult Food Chem, 1979,27, 1321–1326

    Article  Google Scholar 

  39. V.F. Taylor, H.P. Longerich, and J.D. Greenough,J Agricult Food Chem, 2003,51, 856–860

    Article  Google Scholar 

  40. X. Capron, J. Smeyers-Verbeke, and D.L. Massart,Food Chem, 2007,101, 1585–1597

    Article  Google Scholar 

  41. ISO 2859-1:2001,Sampling Procedures for Inspection by Attributes —Part 1: Sampling Schemes Indexed by Acceptance Quality Limit (AQL) for Lot-by-Lot Inspection, ISO, Geneva

    Google Scholar 

  42. ISO 3951:2005,Sampling Procedures for Inspection by Variables, Parts 1—5, ISO, Geneva

    Google Scholar 

  43. ISO 14253-1:1998,Geometrical Product Specifications (GPS) —Inspection by measurement of workpieces and measuring equipment —Part 1: Decision rules for proving conformance or non-conformance with specifications, ISO, Geneva

    Google Scholar 

  44. C. Mueller, M. Gaal, M. Scharmach, U. Ewert, A. Lewis, T. Bloodworth, P.-T. Wilrich, and D. Guelle,Reliability Model for Test and Evaluation of Metal Detectors. Final report of the ITEP project 2.1.1.2, Sep 2004. Available athttp://www.itep.ws/

  45. S.L.R. Ellison,Accred Qual Assur, 2000,5, 346–348

    Article  Google Scholar 

  46. EURACHEM/CITACGuide: Use of Uncertainty Information in Compliance Assessment, 1st edition, 2007

    Google Scholar 

  47. L.R. Pendrill, H. Källgren,Accred Qual Assur, 2006,11, 496–505

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Wolfram Bremser .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2009 Birkhäuser Boston

About this chapter

Cite this chapter

Bremser, W., Hässelbarth, W. (2009). Approaches to Data Assessment and Uncertainty Estimation in Testing. In: Pavese, F., Forbes, A. (eds) Data Modeling for Metrology and Testing in Measurement Science. Modeling and Simulation in Science, Engineering and Technology. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-4804-6_10

Download citation

Publish with us

Policies and ethics