The paper presents the problem of determining the accuracy usable of geo-detic Instruments. The results of test measurements will be evaluated using tests of mathematical statistics by the statistical Abeb's test and the Shapiro - Wilk test. Will discuss the theoretical basis for conformance testing and arę given ways of their practical application.The study concludes that the tested instruments meet the conditions of both statistical tests and thus arę suitable for making measurements in engineering geodesy .
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In order to verify that the angular measurements performed with a precise theodolite "WILD T 2002" are burdened with systematic errors, numerous of an-gular measurements were performed in the test grid composed of three adjacent triangles, located near the Department of Environmental Engineering and Geodesy, University of Agriculture in Cracow.The occurrence of systematic errors may indicates that the distribution of measurement errors is not normal. This would force a different way to compensate the observations than the least squares method. Measurements made 35 times, were statistically analyzed using the Shapiro - Wilk test.To control the results of test, additional statatistics measurements were performed using the methods specified by: 1. Kołmogorow's - statistics D and D'2. Kuiper's - statistics V and V1.Performed analysis allows to draw conclusions regarding the suitability of the test instrument for angular measurements.
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In order to verify that measurements made with a digital leveler "WILD NA 3000" are burdened with errors, distorting the results of these observations, nu-merous measurements of height differences between points of a leveling net set up in the Department of Environment and Geodesy of the University of Agriculture in Cracow were performedMeasurements were made on a network of three closed leveling mesh, assessing of height differences in those leveling mesh 35-times. To detect possible anomalies in the measurement, a statistical compatibility tests of Kolmogorov - Liliefors was used, checking the hypothesis Ho of normal distribution of measurement errors. To verify and confirm the results coming from concerned test, additional test were launched using the statistics: Cramer - von Mises: W2 and W12Watson: U2 and U12 Performed analysis gives overview on measurements quality with use of tested instrument.
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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 ...
