A procedure for testing the assumption of homoscedasticity in least squares residuals: A case study of GPS carrier-phase observations

Journal of Geodesy

Volumn 78, Issue 7-8, 2005, Pages 397-404

  Bischoff, W ^a,b   Heck, B ^b   Howind, J ^b   Teusch, A ^b  

^a CATHOLIC UNIVERSITY OF EICHSTÄTT INGOLSTADT   (Germany)

^b UNIVERSITY OF KARLSRUHE   (Germany)

Author keywords

Global Positioning System; Heteroscedasticity; Homoscedasticity; Recursive residuals; Statistical tests; Stochastic model

Indexed keywords

GPS; STOCHASTICITY;

EID: 17144423268     PISSN: 09497714     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00190-004-0390-5     Document Type: Article

References (17)

1. Belsley D, Kuh E, Welsch R (1980) Regression diagnostics. Wiley, New York
2. Bona P (2000) Precision, cross correlation and time correlation of GPS phase and code observations. GPS Solut 4(2): 3-13
3. Borre K, Tiberius C (2001) Time series analysis of GPS observables. In: Proc 13th Int Tech Meeting of the Satellite Division of the Institute of Navigation, Salt Lake City, UT, 19-22 September, pp 1885-1894
4. Collins J, Langley R (1999) Possible weighting schemes for GPS carrier-phase observations in the presence of multipath. Rep TCN 98151, Department of Geodesy and Geomatics Engineering, University of New Brunswick, Fredericton
5. Cook R, Weisberg S (1982) Residuals and influence in regression. Chapman & Hall, London
6. El-Rabbany A (1994) The effect of physical correlations on the ambiguity resolution and accuracy estimation in GPS differential positioning. Tech rep 170, Department of Geodesy and Geomatics Engineering, University of New Brunswick, Fredericton
7. Han S (1997) Quality-control issues relating to instantaneous ambiguity resolution for real-time GPS kinematic positioning. J Geod 71: 351-361
8. Hofmann-Wellenhof B, Lichtenegger H, Collins J (2001) Global positioning system: Theory and practice 5th edn. Springer, Berlin Heidelberg New York
9. Howind J, Kutterer H, Heck B (1999) Impact of temporal correlations on GPS-derived relative point positions. J Geod 73: 246-258
10. Hsu D (1977) Tests for variance shift at an unknown time point. Appl Stat 26(3): 279-284
11. Hugentobler U, Schaer S, Fridez P (eds) (2001) Bernese GPS software version 4.2. Astronomical Institute, University of Berne
12. Jin X, de Jong C (1996) Relationship between satellite elevation and precision of GPS code observations. J Navig 49(2):253-265
13. Lehmann E (1986) Testing statistical hypotheses. Wiley, New York
14. Polasek W (1984) Regression diagnostics for general linear models. J Am Statist Ass 79(386): 336-340
15. Teunissen P, Kleusberg A (eds) (1998) GPS for geodesy. Springer, Berlin Heidelberg New York
16. Tiberius C, Borre K (1999) Probability distribution of GPS code and phase data. Z Vermess 124(8): 264-273
17. Wang J, Satirapod C, Rizos C (2002) Stoch astic assessment of GPS carrier-phase measurements for precise static relative positioning. J Geod 76: 95-104