2010•Unpublished venueRequires access

Investigation Of The Influence Of Systematic Errors In Least Squares Estimation

Eltahir Mohamed Elhadi

Abstract

The least squares method is widely accepted as a computational method, that covers different branches of Surveying and Photogrammetry.Basically, it is applied when the observations contain random errors only. This paper is directed towards the investigation of the effects of systematic errors on the least squares estimates. The main conclusions are: (1) The use of observations containing systematic errors beside the random ones, gives different values for the parameters and the residuals. (2)The value of the standard error of unit weight will increase in the presence of systematic errors.(3)Modeling of systematic errors will enable the evaluation of systematic errors and their effects. (Journal of American Science 2010; 6(5):118-123). (ISSN: 1545-1003).

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Key concepts: Systematic error, Non-sampling error, Random error, Least-squares function approximation, Statistics, Mathematics, Standard error, Generalized least squares