Outlier Diagnostic in Geodetic Intersection

Ižvoltová, Jana; Koťka, Vladimír

doi:10.2478/cee-2014-0012

Abstract

Residuals are differences between observed and predicted variables. This paper describes outlier detection method with using studentized internal and external residuals, which was applied to find extreme values in dataset that comes from the planar intersection method. The detected outlier is analysed by the statistical hypothesis testing, where critical value is defined as a quantil of Studentized distribution.

References

[1] Engineering Statistics Handbook. NIST/SEMATECH e-Handbook of Statistical Methods, 2006, [cit. 09.2014]. Available at: http://www.itl.nist.gov/div898/handbook/.
Search in Google Scholar
[2] ZVÁRA, K.: Identifikace odlehlých pozorování v lineární regresi. Česká statistická společnost, sborník Robust 1982, p. 120., Kost.
Search in Google Scholar
[3] TVRDÍK, J.: Analýza vícerozměrných dat. Ostravská univerzita, Přírodovědecká fakulta, Ostrava, 119 p., 2003.
Search in Google Scholar
[4] ANDĚL, J.: Matematická statistika. SNTL Praha, 346 p., 1985.
Search in Google Scholar
[5] KOCH, K. R.: Parameterschätzung und Hypothesentests in linearen Modellen. Vierte bearbeitete Auflage, Dümmlers Verlag, Bonn, 382 p., 2004.
Search in Google Scholar
[6] GAŠINEC, J. - GAŠINCOVÁ, S. - SABOVÁ, J. - WEISS, G.: Adjustment of position geodetic networks by robust estimations. 14. konference Společnosti důlních měřičů a geologů. Ostrava VŠB TU, 2007, p. 1-14. ISBN 9788024816548.
Search in Google Scholar
[7] KOŤKA, V. - ŠÍMA, J.: Geodetické zameranie a konštrukcia nepravideľných telies, Acta Montanistica Slovaca. 10, 2005, 2, 136-139, ISSN 1335-1788.
Search in Google Scholar
[8] VILLIM, A.: Estimation of Variance Components of 2D Geodetic Network. TRANSCOM 2009 - 8th European conference of young research and scientific workers, Žilina 2009, p. 109-114, ISBN 978-80-554-0030-3.
Search in Google Scholar
[9] FILZMOSER, P.: A multivariate outlier detection method. In S. Aivazian, P. Filzmoser, and Yu. Kharin, editors, Proceedings of the Seventh International Conference on Computer Data Analysis and Modelling, volume 1, pp. 18-22, Belarusian State University, Minsk, 2004.
Search in Google Scholar
[10] SCHAFER, J. L.: Outlier detection and editing procedures for continuous multivariate data. Working paper No. 2008-07. Department of Statistics, Princeton University, 2003, pp. 26. [cit. 09.2014]. Available at: http://opr.princeton.edu/papers/opr0307.pdf.
Search in Google Scholar
[11] WELSCH, W. M. - HEUNECKE, O.: Models and terminology for the analysis of geodetic monitoring observations. Official Report of the Ad-Hoc Committee of FIG Working Group 6.1. The International Federation of Surveyors (FIG), Frederiksberg, Denmark, p. 43, 2001.
Search in Google Scholar

Outlier Diagnostic in Geodetic Intersection

Abstract

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