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Comparison of calibration curves using the L p norm

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Abstract

Interlaboratory comparisons are a fundamental task in order to provide measurements with traceability. The simplest possible scenario implies that a single traveling standard of a quantity is measured at various laboratories. A more complex scenario arises when the laboratories measure a large set of standard values pertaining to a given physical quantity or when the traveling standard is not a realization of the quantity of interest but a measuring instrument. In the last case, it might be convenient to globally compare the calibration curves provided by the laboratories. We will introduce a distance between two generic analytical curves based on the Least Power L p norm of their difference. The properties of such distance will be presented, with particular attention to its dependence on the parameter p.

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Authors and Affiliations

  1. Istituto Nazionale di Ricerca Metrologica (INRIM), Strada delle Cacce 91, 10135, Turin, Italy

    Luca Callegaro, Francesca Pennecchi & Pier Giorgio Spazzini

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  1. Luca Callegaro
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  2. Francesca Pennecchi
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  3. Pier Giorgio Spazzini
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Correspondence to Francesca Pennecchi.

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Callegaro, L., Pennecchi, F. & Spazzini, P.G. Comparison of calibration curves using the L p norm. Accred Qual Assur 14, 587–592 (2009). https://doi.org/10.1007/s00769-009-0525-8

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  • DOI: https://doi.org/10.1007/s00769-009-0525-8

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