• Anglický jazyk

Total Least Squares

Autor: Lambert M. Surhone

High Quality Content by WIKIPEDIA articles! Total least squares, also known as errors in variables, rigorous least squares, or orthogonal regression, is a least squares data modeling technique in which observational errors on both dependent and independent... Viac o knihe

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O knihe

High Quality Content by WIKIPEDIA articles! Total least squares, also known as errors in variables, rigorous least squares, or orthogonal regression, is a least squares data modeling technique in which observational errors on both dependent and independent variables are taken into account. It is a generalization of Deming regression, and can be applied to both linear and non-linear models. In short, total least squares does not have the property of units-invariance (it is not scale invariant). For a meaningful model we require this property to hold. A way forward is to realise that residuals (distances) measured in different units can be combined if multiplication is used instead of addition. Consider fitting a line: for each data point the product of the vertical and horizontal residuals equals twice the area of the triangle formed by the residual lines and the fitted line.

  • Vydavateľstvo: OmniScriptum
  • Rok vydania: 2026
  • Formát: Paperback
  • Rozmer: 220 x 150 mm
  • Jazyk: Anglický jazyk
  • ISBN: 9786130336370

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