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Application of special reduction procedures to metrological data

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Abstract

To improve the reduction of metrological data, that are typically grouped in series and cannot be considered as replicated data, a modelling procedure has been obtained by adding to the model representing the physical behaviour, common to all data, a specific term for each series. Such a procedure combines both the advantages of preserving the individuality of each series and of improving the variance estimate which arises from fitting the overall data. A non-parametric bootstrap method for the error analysis has been developed, which does not imply the assumption of the Normal distribution in the least squares estimation. Two examples of application of the method to thermodynamic data series are reported.

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Authors and Affiliations

  1. Istituto per le Applicazioni del Calcolo “M. Picone”, CNR, Roma, Italy

    Patrizia Ciarlini

  2. Istituto di Metrologia “G. Colonnetti”, CNR, Torino, Italy

    Franco Pavese

Authors
  1. Patrizia Ciarlini
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  2. Franco Pavese
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Ciarlini, P., Pavese, F. Application of special reduction procedures to metrological data. Numer Algor 5, 479–489 (1993). https://doi.org/10.1007/BF02108664

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