Measurement, Models, and Uncertainty

Against the tradition, which has considered measurement able to produce pure data on physical systems, the unavoidable role played by the modeling activity in measurement is increasingly acknowledged, particularly with respect to the evaluation of measurement uncertainty. This paper characterizes measurement as a knowledge-based process and proposes a framework to understand the function of models in measurement and to systematically analyze their influence in the production of measurement results and their interpretation. To this aim, a general model of measurement is sketched, which gives the context to highlight the unavoidable, although sometimes implicit, presence of models in measurement and, finally, to propose some remarks on the relations between models and measurement uncertainty, complementarily classified as due to the idealization implied in the models and their realization in the experimental setup.

[1]  G. Wübbeler,et al.  On the application of Supplement 1 to the GUM to non-linear problems , 2011 .

[2]  Laurent Foulloy,et al.  Fuzzy modeling of measurement data acquired from physical sensors , 2000, IEEE Trans. Instrum. Meas..

[3]  R. Peierls,et al.  The observational foundations of physics , 1994 .

[4]  Andrea Zanobini,et al.  Measurement uncertainty in a multivariate model: a novel approach , 2003, IEEE Trans. Instrum. Meas..

[5]  A C Baratto,et al.  Measurand: a cornerstone concept in metrology , 2008 .

[6]  Luca Mari,et al.  The role of determination and assignment in measurement , 1997 .

[7]  Luca Mari,et al.  Outline of a general model of measurement , 2010, Synthese.

[8]  K. Sommer,et al.  Systematic approach to the modelling of measurements for uncertainty evaluation , 2006 .

[9]  Patrick Suppes,et al.  Studies in the Methodology and Foundations of Science: Selected Papers from 1951 to 1969 , 1969 .

[10]  T. Kuhn,et al.  The Structure of Scientific Revolutions. , 1964 .

[11]  W. Bean Patterns of Discovery : An Inquiry into the Conceptual Foundations of Science. , 1960 .

[12]  Lotfi A. Zadeh,et al.  Toward a generalized theory of uncertainty (GTU) - an outline , 2005, GrC.

[13]  Ignacio Lira,et al.  Comparison between the conventional and Bayesian approaches to evaluate measurement data , 2006 .

[14]  Franco Pavese,et al.  Data modeling for metrology and testing in measurement science , 2009 .

[15]  Klaus-D. Sommer,et al.  Modelling of Measurements, System Theory and Uncertainty Evaluation , 2009 .

[16]  Blaza Toman,et al.  Assessment of measurement uncertainty via observation equations , 2007 .

[17]  Lamia Berrah,et al.  Fuzzy handling of measurement errors in instrumentation , 2000, IEEE Trans. Instrum. Meas..

[18]  Ignacio Lira,et al.  Bayesian assessment of uncertainty in metrology: a tutorial , 2010 .

[19]  Alistair B. Forbes,et al.  The GUM, Bayesian inference and the observation and measurement equations. , 2011 .

[20]  Alessandro Ferrero,et al.  The random-fuzzy variables: a new approach to the expression of uncertainty in measurement , 2004, IEEE Transactions on Instrumentation and Measurement.

[21]  Leopoldo Angrisani,et al.  New proposal for uncertainty evaluation in indirect measurements , 2006, IEEE Transactions on Instrumentation and Measurement.

[22]  Dario Petri,et al.  Comparison of Measured Quantity Value Estimators in Nonlinear Models , 2010, IEEE Transactions on Instrumentation and Measurement.

[23]  E. Iso,et al.  Measurement Uncertainty and Probability: Guide to the Expression of Uncertainty in Measurement , 1995 .