Abstract
Conformity assessment is making a decision about whether a product, service or other entity conforms to specifications. This final chapter deals with putting into use, when making decisions, all the measurement tools given in the intervening chapters to demonstrate to what extent actual measurement results live up to the initial motivations for making conformity assessment (providing consumer confidence; tools for supplier and supplier when ensuring product quality; essential for several reasons, such as health, environmental protection, fair trade and so on) presented in Sect. 1.1.
Quality assurance of product is intimately related, as said previously, to the quality of measurement—comparability of product quality characteristics is obtained by measuring product with comparable measurement, as assured by metrological traceability to agreed and common reference standards.
Measurement uncertainty leads to certain risks of incorrect decisions in conformity assessment. In this closing chapter, the predictions of design of experiment, ‘rules of thumb’ and more insightful judgements about ‘fit-for-purpose’ measurement and optimised uncertainty based on cost and impact, will be revisited with the actual measurement results in hand, such as obtained in the pre-packaged goods example followed throughout the book.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Notes
- 1.
The factor ‘2.8’ approximates \( 2\bullet \sqrt{2} \) for the root-mean-square of the two results, multiplied by 2 to correspond to a 95% confidence interval (assuming a Normal distribution of the mean), as in the SDC expression Eq. (6.3).
References
AFNOR, Use uncertainty in measurement: presentation of some examples and common practices, in French Standardisation FD x07–022 (2004)
T. Akkerhuis, Measurement system analysis for binary tests, PhD thesis, FEB: Amsterdam Business School Research Institute (ABS-RI) (2016). ISBN 9789462333673. http://hdl.handle.net/11245/1.540065
T. Akkerhuis, J. de Mast, T. Erdmann, The statistical evaluation of binary test without gold standard: Robustness of latent variable approaches. Measurement 95, 473–479 (2017). https://doi.org/10.1016/j.measurement.2016.10.043
D. Andrich, On an identity between the Gaussian and Rasch measurement error distributions: Making the role of the instrument explicit. J. Phys. Conf. Series 1065, 072001 (2018). https://doi.org/10.1088/1742-6596/1065/7/072001
M. Ben-Akiva, M. Bierlaire, Discrete choice methods and their application to short term travel decisions, in International Series in Operations …, 1999 (1984). books.google.com
D. Deaver, Guardbanding with confidence Proc. NCSL Workshop & Symposium, Chicago, July–August 1994 (1994), pp. 383–394
T. Fearn, S. A. Fisher, M. Thompson and S. Ellison, A decision theory approach to fitness for purpose in analytical measurement Analyst 127 818–24 (2002)
R. Fleischmann, Einheiteninvariante Gröβengleichungen, Dimension. Der Mathematische und Naturwissenschaftliche Unterricht 12, 386–399 (1960)
B. Gao, C. Wu, Y. Wu and Y. Tang, “Expected Utility and Entropy-Based Decision-Making Model for Large Consumers in the Smart Grid”, Entropy 17, 6560-6575; doi:10.3390/e17106560 (2015)
D. Hedeker, M. Berbaum, R. Mermelstein, Location-scale models for multilevel ordinal data: between- and within subjects variance modeling. J Probab. Stat. Sci. 4(1), 1–20 (2006)
R.J. Irwin, A psychophysical interpretation of Rasch’s psychometric principle of specific objectivity, in Proceedings of Fechner Day, 23 (2007).
G. Iverson and R. Luce, The representational measurement approach to psychophysical and judgmental problems, in Measurement, Judgment, and Decision Making. Academic Press Cambridge (1998)
ISO 5725, Accuracy (trueness and precision) of measurement methods and results, Part 6: Use in practice of accuracy values (1994)
JCGM 106:2012, Evaluation of measurement data – The role of measurement uncertainty in Conformity Assessment, in Joint Committee on Guides in Metrology (JCGM) (2012)
A.M. Joglekar, Statistical Methods for Six Sigma in R&D and Manufacturing (Wiley, Hoboken, 2003). ISBN: 0-471-20342-4
R. Kacker, N.F. Zhang, C. Hagwood, Real-time control of a measurement process. Metrologia 33, 433–445 (1996)
D. Kahneman, A. Tversky, Prospect theory: An analysis of decision under risk. Econometrica 47(2), 263–291 (1979). http://www.princeton.edu/~kahneman/docs/Publications/prospect_theory.pdf
B. Mandelbrot, N Taleb, Wild uncertainty, in Financial Times, 2006-03-24, Part 2 of ‘Mastering Uncertainty’ series (2006)
D.L. McFadden, Economic choices, in Prize Lecture, Stockholm (SE), 8 December 2000 (2000). http://www.nobelprize.org/nobel_prizes/economics/laureates/2000/mcfadden-lecture.pdf
D.C. Montgomery, Introduction to Statistical Quality Control (Wiley, Hoboken, 1996). ISBN: 0-471-30353-4
L.R. Pendrill, Operating ‘cost’ characteristics in sampling by variable and attribute. Accred. Qual. Assur. 13, 619–631 (2008)
L.R. Pendrill, “An optimised uncertainty approach to guard-banding in global conformity assessment”, Advanced Mathematical and Computational Tools in Metrology VIII, in Data Modeling for Metrology and Testing in Measurement Science Series: Modeling and Simulation in Science, Engineering and Technology, Birkhauser, Boston 2009. ISBN: 978-0-8176-4592-2. http://www.worldscibooks.com/mathematics/7212.html
L.R. Pendrill, Optimised uncertainty and cost operating characteristics: new tools for conformity assessment. Application to geometrical product control in automobile industry. Int. J. Metrol. Qual. Eng 1, 105–110 (2010). https://doi.org/10.1051/ijmqe/2010020
L.R. Pendrill, Man as a measurement instrument. NCSLI Measure J. Meas. Sci. 9, 24–35 (2014a)
L.R. Pendrill, Using measurement uncertainty in decision-making & conformity assessment. Metrologia 51, S206 (2014b)
L.R. Pendrill, H. Källgren, Optimised measurement uncertainty and decision-making in the metering of energy, fuel and exhaust gases. Izmerite’lnaya Technika (Meas. Tech.) 51(4), 370–377 (2008). https://doi.org/10.1007/s11018-008-9047-8
L.R. Pendrill, H. Karlsson, N. Fischer, S. Demeyer, A. Allard, A guide to decision-making and conformity assessment, in Deliverable 3.3.1, EMRP project (2012–5) NEW04 Novel Mathematical and Statistical Approaches to Uncertainty Evaluation (2015). http://www.ptb.de/emrp/new04-publications.html
J.H. Petersen, K. Larsen, S. Kreiner, Assessing and quantifying inter-rater variation for dichotomous ratings using a Rasch model. Stat. Methods Med. Res. 21, 635–652 (2012). https://doi.org/10.1177/0962280210394168
F.-J.V. Polo, M. Negrin, X. Badia, M. Roset, Bayesian regression models for cost-effectiveness analysis. Eur. J. Health Econ. 1, 45–52 (2005)
G.B. Rossi, Measurement and probability – A probabilistic theory of measurement with applications, in Springer Series in Measurement Science and Technology, (Springer, Berlin, 2014). https://doi.org/10.1007/978-94-017-8825-0
G. Taguchi, Taguchi on Robust Technology (ASME Press, New York, 1993)
M. Thompson, T. Fearn, What exactly is fitness for purpose in analytical measurement? Analyst 121, 275–278 (1996)
V. Turetsky, E. Bashkansky, Testing and evaluating one-dimensional latent ability. Measurement 78, 348–357 (2015)
J.S. Uebersax, W.M. Grove, A latent trait finite mixture model for the analysis of rating agreement. Biometrics 49, 823–835 (1993)
A.M. van der Bles, S. van der Linden, A.L.J. Freeman, J. Mitchell, A.B. Galvao, L. Zaval, D.J. Speigelhalter, Communicating uncertainty about facts, numbers and science. R. Soc. Open Sci. 6, 181870 (2019). https://doi.org/10.1098/rsos.181870
D.A. van Kampen, W.J. Willems, L.W.A.H. van Beers, R.M. Castelein, V.A.B. Scholtes, C.B. Terwee, Determination and comparison of the smallest detectable change (SDC) and the minimal important change (MIC) of four-shoulder patient-reported outcome measures (PROMs). J. Orthop. Surg. Res. 8, 40 (2013). http://www.josr-online.com/content/8/1/40
F.K. Wang, J.C. Chen, Capability index using principal component analysis. Qual. Eng. 11, 21–27 (1998)
E.D. Weinberger, A theory of pragmatic information and its application to the quasi-species model of biological evolution. Biosystems 66, 105–119 (2003). http://arxiv.org/abs/nlin.AO/0105030
R.H. Williams, C.F. Hawkins, The Economics of Guardband Placement, in Proceedings, 24th IEEE International Test Conference, Baltimore, MD, 17–21Oct. 1993 (1993)
J. Yang, W. Qiu, A measure of risk and a decision-making model based on expected utility and entropy. Eur. J. Oper. Res. 164, 792–799 (2005)
Author information
Authors and Affiliations
Exercises: Measurement and Product Decisions
Exercises: Measurement and Product Decisions
6.1.1 Conformity Assessment
Referring to your product and measurement demands as well as your measurement data (that you have specified in each section of this document) | Your answers………………………………………… |
---|---|
(§1.2) What are the ‘optimal’ values of the product’s most important characteristics? | |
(§1.2) How large deviations from these optimum values can be tolerated? | |
(§1.2) How much will your costs vary with varying deviations in product characteristics? | |
(§2.2) Maximum permissible uncertainty (MPU)? | |
(§2.1) How much does the test cost? | |
What is the real ‘value’ (e.g. in economic or impact terms) of the measurement values? | |
(§4.2) From your measurement results | |
• Is your actual measurement uncertainty within measurement specification (i.e. MPU)? | |
• Is the test result (including uncertainty interval) within product specification (i.e. MPE) about the ‘optimum’ product value? Is the product approved or not? | |
• What is the real ‘value’ (e.g. in economic or impact terms) of the measurement values? | |
• Give the measurement uncertainty and test result location with respect to product specification limits; risks for erroneous decisions when assessing compliance (‘conformity assessment’). Express these preferably in terms of consumer and supplier risks, either in % or preferably in tangible terms (e.g. economy) | |
• Does the actual measurement uncertainty lie close to the ‘optimum’ uncertainty, i.e. after having balanced (§2.1) measurement and (§1.2) consequence costs? | |
When you communicate your results to the task assigner, what will be your final words? | |
Others: |
6.1.2 Significance Testing
Choose any measurement situation: It can be measurements of the product you have chosen | Your answers………………………………………… |
• Give an estimate of the precision (scatter) in your measurement method and explain how you have estimated this precision | |
Choose two individual measurement results from your measurement data | |
• Is the difference between these two results significant compared with the precision of the measurement method? Please give a confidence level (%) in your decision | |
Others: |
Rights and permissions
Copyright information
© 2019 Springer Nature Switzerland AG
About this chapter
Cite this chapter
Pendrill, L. (2019). Decisions About Product. In: Quality Assured Measurement. Springer Series in Measurement Science and Technology. Springer, Cham. https://doi.org/10.1007/978-3-030-28695-8_6
Download citation
DOI: https://doi.org/10.1007/978-3-030-28695-8_6
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-28694-1
Online ISBN: 978-3-030-28695-8
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)