Statistical analysis of discrepancies in high precision levelling View Full Text


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Article Info

DATE

1971-03

AUTHORS

A. Chiarini, L. Pieri

ABSTRACT

An investigation was made of the behaviour of the variable (where ρij are the discrepancies between the direct and reverse measurements of the height of consecutive bench marks and theRij are their distance apart) in a partial net of the Italian high precision levelling of a total length of about1.400 km. The methods of analysis employed were in general non-parametric individual and cumulative tests; in particular randomness, normality and asymmetry tests were carried out. The computers employed wereIBM/7094/7040. From the results evidence was obtained of the existence of an asymmetry in respect to zero of thexij confirming the well-known results given firstly by Lallemand. A new result was obtained from the tests of randomness which put in evidence trends of the mean values of thexij and explained some anomalous behaviours of the cumulative discrepancy curves. The extension of this investigation to a broader net possibly covering other national nets would be very useful to get a deeper insight into the behaviour of the errors in high precision levelling. Ad hoc programs for electronic computers are available to accomplish this job quickly. More... »

PAGES

5-27

References to SciGraph publications

  • 1936-01. Évaluation de la précision d’une méthode de nivellement in BULLETIN GÉODÉSIQUE (1946-1975)
  • Journal

    TITLE

    Bulletin Géodésique (1946-1975)

    ISSUE

    1

    VOLUME

    99

    Author Affiliations

    Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/bf02521676

    DOI

    http://dx.doi.org/10.1007/bf02521676

    DIMENSIONS

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