Determination of the uncertainties and covariances in thecalibration of the set of weights

The paper shows a calibration model where a set of weights is calibrated in terms of the mass of a single reference weight. It is proved that under satisfying a simple condition the uncertainty of the reference mass value does not influence the mass values of the unknown weights, i.e. the calibration procedure is equivalent to a weighted least squares analysis. A simplified example demonstrates this calibration process.