Assessing the Significance of Displacements Using Local Coefficients of Variance as an Alternative to the Classical Approach

Abstract

The safety of use of civil engineering structures remains an important issue that is approached by various sciences. Due to this fact, geodetic control measurements are conducted with the purpose of identifying threats connected with the potential displacement of structural elements. In this context, the authors discuss issues connected with determining the displacements of controlled points located in the studied object in a three-dimensional space. Accuracy analysis is crucial in the geodetic interpretation of a data set. Utilising the measurement results of local coefficients of variance specified for isolated subsets authenticates mean measurement error values, and, thereby, the accuracy of estimation results. The modified Henderson's method (MHM) for determining local coefficients of variance was employed as a means of data adjustment. The authors also performed the analyses of the results obtained using the MHM with the results obtained on the basis of single global estimator of the coefficient of variance.