A Test of Linearity Using Covering Arrays for Evaluating Uncertainty in Measurement

Published

June 25, 2008

Author(s)

Ruediger Kessel, Raghu N. Kacker

Abstract

Since the Guide to the Expression of Uncertainty in Measurement (GUM) was published in 1993 it has changed the evaluation of physical and chemical measurements. In our days almost all high level measurements include a detailed evaluation of uncertainty. This allows the scientific community to do the next step and evaluate uncertainty for derived evaluations like parameter fittings. The evaluation of the uncertainty of complicated parameters like the results from non-linear fitting procedures can be carried out in two steps. The first step is a sensitivity analysis of the evaluation algorithm and a test of mutual independence of the parameters. In case the fitting algorithm is sufficiently robust a linear model is derived from the fitting algorithm which is than used to evaluate the uncertainty of the fitting parameter. The paper will discuss the procedure in detail with the emphasis on possibilities to check for robustness and linearity. An efficient method based on covering array will be presented to check for hidden couplings between the input parameter inside the evaluation model.

Citation

Advanced Mathematical and Computational Tools in Metrology AMCTM VIII

Volume

78

Publisher Info

World Scientific, London , -1

Pub Type

Books

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Keywords

uncertainty evaluation, test of linearity, coupling test, coverage arrays

Citation

Kessel, R. and Kacker, R. (2008), A Test of Linearity Using Covering Arrays for Evaluating Uncertainty in Measurement, World Scientific, London , -1, [online], https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=890003 (Accessed April 26, 2024)