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- R M Barker, M G Cox, A B Forbes, P M Harris
- 2004

Metrology, the science of measurement, involves the determination from experiment of estimates of the values of physical quantities, along with the associated uncertainties. In this endeavour, a mathematical model of the measurement system is required in order to extract information from the experimental data. Modelling involves model building : developing… (More)

- M. G. Cox, P. M. Harris
- 1998

A general methodology for evaluating the accuracy of the results produced by scientific software has been developed at the National Physical Laboratory. The basis of the approach is the design and use of reference data sets and corresponding reference results to undertake black-box testing. The approach enables reference data sets and results to be… (More)

- I. J. Anderson, M. G. Cox, J. C. Mason
- Numerical Algorithms
- 1993

Algorithms exist for least-squares tensor-product splineapproximation to data (a) on a rectangular mesh, (b) on a family of parallel lines and (c) that is generally scattered. In contrast,direct algorithms for tensor-product splineinterpolation are available only for data type (a). The structure of the data in cases (a) and (b) is such that the… (More)

When analysing a sample statistically, the quality of the resulting parameters (measures of location, dispersion, etc.) depends on the reliability or credibility of the data and on the analysis undertaken. The data provided by interlaboratory comparisons, and especially key comparisons, is of sufficient importance that approaches are required which are as… (More)

- M G Cox, M P Dainton, P M Harris
- 2002

This guide provides best practice on the evaluation of uncertainties within metrology, and on the support to this topic given by statistical modelling. It is motivated by two principle considerations. One is that although the primary guide on uncertainty evaluation, the Guide to the Expression of Uncertainty in Measurement (GUM), published by ISO, can be… (More)

- M. G. Cox
- Comput. J.
- 1970

- M. G. Cox
- Softw., Pract. Exper.
- 1985

- D A Turner, I J Anderson, J C Mason, M G Cox
- 2007

The ability to approximate a set of data by an ellipsoid is required in a diverse range of elds including robotics, astronomy and metrology. In this paper, we present techniques for ellipsoid tting which are based on minimizing the sum of the squares of the geometric distances between the data and the ellipsoid. Although methods for solving this non-linear… (More)

- M. G. Cox
- Numerical Algorithms
- 1993

This paper addresses a fundamental problem in mathematics and numerical analysis, that of determining a polynomial interpolant to specified data. The data is taken as consisting of a set of points (abscissae), at each of which is specified a function value. Additionally, at each point, any number of leading derivative values of the function may be given.… (More)

- R M Barker, M G Cox, P M Harris
- 2003

Many mathematical and statistical problems that arise in metrology can be posed in such a way that they possess a unique correct solution. However, algorithms in standards or software libraries, such as METROS, may only provide an approximate solution or the solution to a nearby problem. An approximate or nearby problem is often introduced so as to give a… (More)