Skip to main content
Log in

On the choice of a random variable which eliminates the bias caused by variable spacing in geodetic levelling

  • Published:
Bulletin Gæodésique Aims and scope Submit manuscript

Abstract

Computer values of the mean square error of the Nigerian Geodetic Levelling based on the model xij = ρij/R 1/2ij showed a uniformity between the lines of levelling, of a nature which suggest that xij = ρij/R 1/2ij is a good fit for the data. Values of the mean square error of the levelling based on wij = ρij/Rij showed such significant variation between the lines that this alternative model does not seem to be supported by the data used in this 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.

Similar content being viewed by others

References

  • J.E. ALBERDA (1974): Aspects of Large Levelling Nets. Paper presented to Inter. Symposium on Problems related to the Redefinition of North American Geodetic Networks. Fredericton, N.B., Canada, 20–25 May, 1974.

    Google Scholar 

  • A. CHIARINI and L. PIERI (1967): Statistical Analysis of models for Testing Discrepancies in High Precision Levelling. Lincei - Rend. Sc. Fis. Mat. e. Nat., Vol. X LIII, pp. 502–508.

    Google Scholar 

  • A. CHIARINI and L. PIERI (1977): Statistical Analysis of Discrepancies in High Precision Levelling. Bull. Geod. No. 97, pp. 5–27.

    Google Scholar 

  • M.B. EBONG (1981): A Study and Analysis of the Geodetic Levelling of Nigeria. Ph.D. Thesis, University of Newcastle Upon Tyne, England.

    Google Scholar 

  • H.O. HARTLEY (1950): The Maximum F-ratio as a Shorter-cut Test for Heterogeneity of Variance. Biometrika, Vol. XXXVII.

  • A.M. WASSEF (1955): Statistical Analysis of Discrepancies in Levelling with Application to the First Order Levelling of the Nile Delta. Bull. Géod. No. 36, pp. 29–45.

    Article  Google Scholar 

  • A.M. WASSEF (1974): On the Search for Reliable Criteria for the Accuracy of Precise Levelling Based on Statistical Considerations of the Discrepancies. Bull. Géod. No. 52, pp. 19–25.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ebong, M.B. On the choice of a random variable which eliminates the bias caused by variable spacing in geodetic levelling. Bull. Geodesique 60, 279–287 (1986). https://doi.org/10.1007/BF02522336

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02522336

Keywords

Navigation