Skip to main content
Log in

A statistical analysis of GPS positioning using experimental design

  • Published:
Acta Geodaetica et Geophysica Aims and scope Submit manuscript

Abstract

In dam, bridge, railway, sewerage and pipeline projects and the measurement of crustal movements, point positioning must be determined. GPS is the most popular three-dimensional absolute positioning system on all world surfaces; however, the accuracy of GPS measurements is dependent on particular measurements or environmental factors. The main aim of this study is to characterize statistically the effects of selected factors on the individual GPS horizontal and vertical positioning. The factors were the measurement seasons and time of day for the environment aspect and the satellite system for the measurement aspect. A \(2^{3}\) factorial design was utilized to analyze the role of the selected factors in the GPS horizontal and vertical point positioning. The results indicated that the level (2nd season of the year) of measurement season gave the optimum conditions on the accuracy of the horizontal and vertical positioning, this situation could not be obtained for the same level of measurement time and satellite system. Therefore, the measurements factors of horizontal and vertical positioning must be selected and analyzed carefully according to aim of study.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7

Similar content being viewed by others

References

  • Abad P, Suarez JP (2004) Bi-factorial analysis for resolution of GPS equations. J Comput Appl Math 164–165:1–10. doi:10.1016/j.cam.2003.11.006

    Article  Google Scholar 

  • Bock O, Doerflinger E (2000) Atmospheric processing methods for high accuracy positioning with the Global Positioning System. Towards Operational GPS Meteorology, COST Action 716 Workshop. European Cooperation in the Field of Scientific and Technological Research, Oslo, Norway, 10–12 July

  • Box GEP, Hunter WG, Hunter JS (2005) Statistics for experimenters: design. innovation, and discovery, 2nd edn. Wiley, Hoboken ISBN 0-471-71813-0

    Google Scholar 

  • Brenneman MT, Morton YT, Zhou Q (2010) GPS multipath detection with ANOVA for adaptive arrays. IEEE Trans Aerosp Electron Syst 46(3):1171–1184

    Article  Google Scholar 

  • Cai C, Gao Y (2007) Precise point positioning using combined GPS and GLONASS observations. CPGPS 6(1):13–22

    Google Scholar 

  • Coruh S, Elevli S, Geyikci F (2012) Statistical evaluation and optimization of factors affecting the leaching performance of copper flotation waste. ScientificWorldJournal 2012:758719. doi:10.1100/2012/758719

    Article  Google Scholar 

  • El-Rabbany A (2006) Introduction to GPS the Global Positioning System. Artech House Publisher, London

    Google Scholar 

  • George ML, Rowlands D, Price M, Maxey J (2005) Lean six sigma pocket toolbook. McGraw-Hill, New York

    Google Scholar 

  • Grewal MS, Weill LR, Andrews AP (2001) Global positioning system, inertial navigation, and integration. Wiley, New York

    Google Scholar 

  • Habrich H (1999) Geodetic applications of the Global Navigation Satellite System (GLONASS) and of GLONASS/GPS Combinations. PhD thesis, University of Berne, Department for Philosophy and Natural Sciences, Berne, Switzerland

  • Ismail AA, El-Midany AA, Ibrahim IA, Matsunaga H (2008) Heavy metal removal using SiO\(_2\)–TiO\(_2\) binary oxide: experimental design approach. Adsorption 14:21–29

    Article  Google Scholar 

  • Johansson JM, Emardson TM, Jarlemark POJ, Gradinarsky LP, Elgered G (1998) The atmospheric influence on the results from the Swedish GPS network. Phys Chem Earth 23:107–112

    Google Scholar 

  • Leick A (2004) GPS satellite surveying. Wiley, New York

    Google Scholar 

  • Lenth RV (1989) Quick and easy analysis of unreplicated factorials. Technometrics 31:469–473

    Article  Google Scholar 

  • Lombardi MA, Nelson LM, Novick AN, Zhang VS (2001) Time and frequency measurements using the global positioning system. Cal Lab Int J Metrol 8(3):26–33

  • Mason RL, Gunst RF, Hess JL (2003) Statistical design and analysis of experiments with applications to engineering and science, 2nd edn. Wiley, Hoboken

    Book  Google Scholar 

  • Mautz R (2012) Indoor positioning technologies, application for Venia Legendi in positioning and engineering Geodesy. Institute of Geodesy and Photogrammetry, Department of Civil, Environmental and Geomatic Engineering, ETH Zurich, Zurich

    Google Scholar 

  • Navidi W (2008) Statistics for engineers and scientist. McGraw-Hill Companies Inc., New York

    Google Scholar 

  • Pirti A (2008) Accuracy analysis of GPS positioning near to forest environment. Croat J For Eng 29(2):189–197

    Google Scholar 

  • Pirti A, Gumus K, Erkaya H, Hosbas RG (2010) Evaluation repeatability of RTK GPS/GLONASS Nera/under forest environment. Croat J For Eng 31(1):23–33

    Google Scholar 

  • Raghunath S, Malleswari BL, Sridhar K (2011) Analysis of GPS errors during different times in a day. IJORCS 2(1):45–48

    Article  Google Scholar 

  • Seltman HJ (2013) Experimental design and analysis. http://www.stat.cmu.edu/~hseltman/309/Book/Book.pdf. Accessed 29 May 2014

  • Sisman Y (2014) The optimization of GPS positioning using response surface methodology. Arab J Geosci 7(3):1223–1231. doi:10.1007/s12517-013-0834-4

    Article  Google Scholar 

  • Stone JM, Powell JD (1998) Precise positioning with GPS near obstructions by augmentation with pseudolites. In: Proceedings of IEEE PLANS, Palm Springs, CA, pp 562–569

  • Svabensky O, Weigel J (2004) Optimized technology for GPS height determination. FIG Working Week, Athens, Greece, 22–27 May

  • URL1 (2013) http://www.usna.edu/Users/oceano/pguth/website/so432web/e-text/GPS_Survey/c-3.pdf. Accessed 29 May 2014

  • URL2 (2008) Global Navigation Satellite System GLONASS, 5th edn. Russian Institute of Space Device Engineering, Moscow

  • Wang C, Liou Y, Yeh T (2008) Impact of surface meteorological measurements on GPS height determination. Geophys Res Lett 35:L23809. doi:10.1029/2008GL035929

    Article  Google Scholar 

  • Wing MG, Eklund A, Sessions J, Karsky R (2008) Horizontal measurement performance of five mapping-grade global positioning system receiver configurations in several forested settings. West J Appl For 23(3):166–171

    Google Scholar 

  • Wu CFJ, Hamada M (2009) Experiments: planning, analysis, and optimization, 2nd edn. Wiley, Hoboken

    Google Scholar 

  • Yoshimura T, Hasegawa H (2003) Comparing the precision and accuracy of GPS positioning in forested areas. J For Res Jpn 8:147–152. doi:10.1007/s10310-002-0020-0

    Article  Google Scholar 

  • Zinoviev AE (2005) Using GLONASS in combined GNSS receivers: current status. On GNSS 18th international technical meeting of the satellite division, Long Beach, CA, 13–16 September 2005, pp 1046–1057

Download references

Acknowledgments

We would like to thank The Directorate of Istanbul Water and Sewage Company-Global Positioning System (ISKI-UKBS network) for their support in giving us permission to use their Global Positioning System network data.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Yasemin Sisman.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Sisman, Y., Elevli, S. & Sisman, A. A statistical analysis of GPS positioning using experimental design. Acta Geod Geophys 49, 343–355 (2014). https://doi.org/10.1007/s40328-014-0053-9

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s40328-014-0053-9

Keywords

Navigation