Uncertainty interval evaluation using the Chi-square and Fisher distributions in the measurement process

• Autorzy: Catelani M. , Zanobini A. , Ciani L.
• Języki publikacji: EN

Abstrakty

EN

Referring to the Guide to the Expression of Uncertainty in Measurement (GUM), the paper proposes a theoretical contribution to assess the uncertainty interval, with relative confidence level, in the case of n successive observations. The approach is based on the Chi-square and Fisher distributions and the validity is proved by a numerical example. For a more detailed study of the uncertainty evaluation, a model for the process variability has been also developed.

Słowa kluczowe

EN

measurement uncertainty; confidence level; statistical distributions

• Wydawca: Komitet Metrologii i Aparatury Naukowej PAN
• Czasopismo: Metrology and Measurement Systems
• Rocznik: 2010
• Tom: Vol. 17, nr 2
• Strony: 195--204
• Opis fizyczny: Bibliogr. 10 poz., tab., wykr.

Twórcy

autor

Catelani M.

autor

Zanobini A.

autor

Ciani L.

• University of Florence, Department of Electronics and Telecommunications, Via di Santa Marta 3, 50139, Florence,

Bibliografia

• [1] BIPM, IEC, IFCC, ISO, IUPAC, IUPAP, OIML: Guide to the Expression of Uncertainty in Measurement. International Organization for Standardization, Geneva, Switzerland, 1995,
• [2] BIPM, IEC, IFCC, ILAC, ISO, IUPAC, IUPAP, OIML: Evaluation of measurement data - Supplement 1 to the “Guide to the expression of uncertainty in measurement” - Propagation of distributions using a Monte Carlo method. Joint Committee for Guides in Metrology, Bureau International des Poids et Mesures, JCGM 101, 2008.
• [3] M. Catelani, A. Zanobini, L.Ciani: “Introduction to the t and chi-square distribution for a more accurate evaluation of the measure of the Word Error Rate in Analog-to-Digital Converters”. Metrol. Meas. Syst., no. 4, vol. XV, 2008, pp. 483- 488.
• [4] G.E.P. Box, W.G. Hunter, J.S. Hunter: Statistics for experimenters. John Wiley, New York, 1978.
• [5] M. Catelani, A. Zanobini, L.Ciani: “Statistical Analysis Of The Word Error Rate Measurement In Analog-To-Digital Converters”. Proc. of XIX IMEKO World Congress Fundamental and Applied Metrology, Lisbon, Portugal, September 6-11, 2009, pp. 694-697.
• [6] M. Kendall: Kendall’s Advanced Theory of Statistics. Griffin & Company Limited, London, vol. 1, 2, 3, 1987, 1979, 1983.
• [7] J.S. Bendat, A.G. Piersol: Random data. Analysis and Measurament Procedures. John Wiley & Sons, New York, 1986.
• [8] C.F. Dietrich: Uncertainty, Calibration and Probability. The Statistics of Scientific and Industrial Measurament. Adam Higler, Bristol, 1991.
• [9] W. Navidi: Statistics for Engineers and Scientists. McGraw Hill, New York, 2007.
• [10] A. Papoulis: Probability and Statistics. Englewood Cliffs, Prentice-Hall, 1990.