Estimation of Uncertainties in Indirect Multiparameter Measurements of Correlated Quantities

Abstract

The paper presents an upgraded version of the vector method of evaluation of multiparameter measurement uncertainties stated in the Supplement 2 to GUM guide. This was done on the example of two-parameter jointed measurements. It consists of the correlation of individual components of the type A and/or type B uncertainty of input measurands. The general formulas for the covariance matrix, final uncertainties, and correlation coefficient were determined. The 3D graph shows the correlation coefficients of the output quantities as a function of the type B contributions in the uncertainty of two input quantities. It has been demonstrated that the inclusion of correlations of uncertainty components makes the uncertainty evaluations more reliable and accurate.