In order to check if measurements of vertical angles and displacementsmade by electronic total station Nikon NPL-352 are not burdened with systematicerrors, test measurements were performed.Measurements depended on that vertical angles and elevations to selectedsharp visible, high located points. Vertical angles were measured in two telescopepositions picking 36 measurements.Elevations were measured in one telescope position, also in number of 36.For the study were calculated coefficients:1) flattening „e"2) asymmetry „S"and their medium errors me i mSFor the control of these results, the second independent Anderson - Darlingtest was made.Conclusion drawn from the study confirms the accuracy of measurements. ...
To verify the precision of measurements made with a precise electronic totalstation Leica TC 2003, test measurements consisting of 36-fold measurement ofdistances and horizontal angles were taken, measurements were made in two telescopepositions.To examine the compatibility of the distribution of experimental errors withthe theoretical distribution N (0;1), which would indicate a proper working of thetested equipment, two methods of statistical surveys were used:1. calculating the distribution parameters: a) flattening „ e"b) assymetry „S"and their average errors,2. Anderson-Darling statistical test of compatibility .The study allowed to conclude correctness of results obtained from measurementswith the tested instrument. ...
The paper shows how to conduct a comprehensive study of the accuracy of the measurements made with an electronic total station TRIMBLE 5602 DR 200 +. The results of the measurements of lenghts, horizontal angles and elevations were examined.Measurements were performed on a test network of the Agricultural University in Krakow and the results of mathematical statistics methods have been developed to detect the presence of any irregularities in them. Statistical surveys of these three groups of measurements were performed in order to check if their distributions of errors correspond to the normal distribution. This determines the accuracy of test measurements and the usefulness of the tested total station for the performance surveying. To study the accuracy of length measurements a statistical ABBE test of compliance were used.Measurements of angular and elevations were tested using the test of identity:- for measuring of horizontal angles MANN-WHTNEY-WILCOXON test was used- for measurements of elevations - SERIES test To verify the results of these three statistical tests - all measuring groups were studied with tests parameters.1/ S-factor asymmetry (skewness) 2/ e - flattening factor (excess, newfangled). From the measurements and statistical studies drew the conclusions on the correctness of the results ...
Alexandersson test is a statistical tool for detection of a step change in mean value in normally distributed time series that identifies the change point. The test may be applied to log-normally distributed hydrological series where normality is achieved by logarithmisation. The method becomes to a tool for testing if there appeared a step change that caused the inhomogeneity of the series. In the article the efficiency in detection of the step change in mean value in log-normally distributed time series was investigated after transformation to normally distributed series and application of the Alexandersson test. As the power of the test is a measure of efficiency, the estimates of the power were calculated. The artificial time series simulated real annual log-normally distributed discharges with an abrupt shifts in the mean values. The series differed in lengths: 20, 60 and 100, heights of the jump: from 1% to 25% and coefficients of variation: from 0,1 to 1. If the length of the series is at least 60 then for the series with very low variability the power turned out to be very large for the change at least equal to 5%. For the series with medium variability the large or ...
The paper presents the method of testing the precision and accuracy of satellite measurements made with the Trimble NetR9 receiver model with a Zephyr Geodetic Model 2 antenna (TRM55971.00 TZGD), which was additionally equipped with a snow shield. The tests covered the results of static measurements in the form of geocentric coordinates XYZ, calculated with the automatic POZGEO service, operating under the ASG-EUPOS system. The observations were made in measuring sessions of 1h, 2h, and 3h. The statistical tests were conducted to check if the distributions of their errors correspond to normal distribution, which would determine the accuracy of the performed test calculations and measurements, and consequently the usefulness of the tested satellite receiver in geodetic surveys. The correctness tests of the executed measurements and calculations applied three statistical tests: the parametric test, the D' Kolmogorov statistic, and the V and V' Kuiper statistics. The conducted analyses and studies provided conclusions on the correctness of the survey and calculation results and the usefulness of the tested measurement system in the execution of various geodetic operations. ...
